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183-786: According to Aristotle (384–322 BCE), isopsephy , based on the Milesian numbering of the Greek alphabet developed in the Greek city of Miletus , was part of the Pythagorean tradition , which originated in the 6th century BCE. The first evidence of use of Hebrew letters as numbers dates to 78 BCE; gematria is still used in Jewish culture . Similar systems have been used in other languages and cultures, derived from or inspired by either Greek isopsephy or Hebrew gematria, and include Arabic abjad numerals and English gematria . The most common form of Hebrew gematria

366-517: A will in which he asked to be buried next to his wife. Aristotle left his works to Theophrastus, his successor as the head of the Lyceum, who in turn passed them down to Neleus of Scepsis in Asia Minor. There, the papers remained hidden for protection until they were purchased by the collector Apellicon . In the meantime, many copies of Aristotle's major works had already begun to circulate and be used in

549-541: A "survival of the fittest" origin of living things and their organs, and ridiculed the idea that accidents could lead to orderly results. To put his views into modern terms, he nowhere says that different species can have a common ancestor , or that one kind can change into another , or that kinds can become extinct . Aristotle did not do experiments in the modern sense. He used the ancient Greek term pepeiramenoi to mean observations, or at most investigative procedures like dissection. In Generation of Animals , he finds

732-590: A 1651 work by Georg Philipp Harsdörffer , and by Athanasius Kircher in 1665, and in a 1683 volume of Cabbalologia by Johann Henning, where it was simply referred to as the 1683 alphabet . It was mentioned in the work of Johann Christoph Männling  [ de ] The European Helicon or Muse Mountain , in 1704, and it was also called the Alphabetum Cabbalisticum Vulgare in Die verliebte und galante Welt by Christian Friedrich Hunold in 1707. It

915-480: A Persian army under Ariobarzanes and then hurried to Persepolis before its garrison could loot the treasury. On entering Persepolis, Alexander allowed his troops to loot the city for several days. Alexander stayed in Persepolis for five months. During his stay, a fire broke out in the eastern palace of Xerxes I and spread to the rest of the city. Possible causes include a drunken accident or deliberate revenge for

1098-559: A broad range of subjects spanning the natural sciences , philosophy , linguistics , economics , politics , psychology , and the arts . As the founder of the Peripatetic school of philosophy in the Lyceum in Athens , he began the wider Aristotelian tradition that followed, which set the groundwork for the development of modern science . Little is known about Aristotle's life. He was born in

1281-495: A building known as the Lyceum (named after the sacred grove of Apollo Lykeios ), in which he established his own school. The building included a gymnasium and a colonnade ( peripatos ), from which the school acquired the name Peripatetic . Aristotle conducted courses and research at the school for the next twelve years. He often lectured small groups of distinguished students and, along with some of them, such as Theophrastus , Eudemus , and Aristoxenus , Aristotle built

1464-477: A classroom. In return for teaching Alexander, Philip agreed to rebuild Aristotle's hometown of Stageira , which Philip had razed, and to repopulate it by buying and freeing the ex-citizens who were slaves, or pardoning those who were in exile. Mieza was like a boarding school for Alexander and the children of Macedonian nobles, such as Ptolemy , Hephaistion , and Cassander . Many of these students would become his friends and future generals, and are often known as

1647-451: A cubit of ocean every day, but is unable to ever finish consuming it, because the oceans are also refilled by 360 rivers. The number 360 is given because the numerical value of the Greek word for snake, δράκων , when transliterated to Hebrew ( דרקון ) is 360. In a second example, the number of giants stated to have died during the Deluge is 409,000. The Greek word for 'deluge', κατακλυσμός , has

1830-518: A different secret cipher. A mathematical formula for finding a letter's corresponding number in mispar gadol is: where x is the position of the letter in the language letters index (regular order of letters), and the floor and modulo functions are used. The value of the Hebrew vowels is not usually counted, but some lesser-known methods include the vowels as well. The most common vowel values are as follows (a less common alternative value, based on

2013-438: A fertilized hen's egg of a suitable stage and opens it to see the embryo's heart beating inside. Instead, he practiced a different style of science: systematically gathering data, discovering patterns common to whole groups of animals, and inferring possible causal explanations from these. This style is common in modern biology when large amounts of data become available in a new field, such as genomics . It does not result in

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2196-569: A few salient points. Aristotle was born in 384 BC in Stagira , Chalcidice , about 55 km (34 miles) east of modern-day Thessaloniki . He was the son of Nicomachus , the personal physician of King Amyntas of Macedon , and Phaestis, a woman with origins from Chalcis , Euboea . Nicomachus was said to have belonged to the medical guild of Asclepiadae and was likely responsible for Aristotle's early interest in biology and medicine. Ancient tradition held that Aristotle's family descended from

2379-554: A fleet of 120 ships with crews numbering 38,000 drawn from Macedon and various Greek city states, mercenaries, and feudally raised soldiers from Thrace , Paionia , and Illyria . He showed his intent to conquer the entirety of the Persian Empire by throwing a spear into Asian soil and saying he accepted Asia as a gift from the gods. This also showed Alexander's eagerness to fight, in contrast to his father's preference for diplomacy. After an initial victory against Persian forces at

2562-497: A fluid such as air. In this system, heavy bodies in steady fall indeed travel faster than light ones (whether friction is ignored, or not ), and they do fall more slowly in a denser medium. Newton's "forced" motion corresponds to Aristotle's "violent" motion with its external agent, but Aristotle's assumption that the agent's effect stops immediately it stops acting (e.g., the ball leaves the thrower's hand) has awkward consequences: he has to suppose that surrounding fluid helps to push

2745-406: A form of an apple. In this distinction, there is a particular apple and a universal form of an apple. Moreover, one can place an apple next to a book, so that one can speak of both the book and apple as being next to each other. Plato argued that there are some universal forms that are not a part of particular things. For example, it is possible that there is no particular good in existence, but "good"

2928-550: A large library which included manuscripts, maps, and museum objects. While in Athens, his wife Pythias died and Aristotle became involved with Herpyllis of Stagira. They had a son whom Aristotle named after his father, Nicomachus . This period in Athens, between 335 and 323 BC, is when Aristotle is believed to have composed many of his philosophical works. He wrote many dialogues, of which only fragments have survived. Those works that have survived are in treatise form and were not, for

3111-597: A linear scale, and noted various exceptions, such as that sharks had a placenta like the tetrapods. To a modern biologist, the explanation, not available to Aristotle, is convergent evolution . Philosophers of science have generally concluded that Aristotle was not interested in taxonomy, but zoologists who studied this question in the early 21st century think otherwise. He believed that purposive final causes guided all natural processes; this teleological view justified his observed data as an expression of formal design. Aristotle's psychology , given in his treatise On

3294-769: A numerical value of 409 when transliterated in Hebrew characters, thus leading the author of 3 Baruch to use it for the number of perished giants. Gematria is often used in Rabbinic literature . One example is that the numerical value of " The Satan" ( השטן ) in Hebrew is 364, and so it was said that the Satan had authority to prosecute Israel for 364 days before his reign ended on the Day of Atonement , an idea which appears in Yoma 20a and Peskita 7a. Yoma 20a states: "Rami bar Ḥama said: The numerological value of

3477-427: A plant in the soil is potentially ( dynamei ) a plant, and if it is not prevented by something, it will become a plant. Potentially, beings can either 'act' ( poiein ) or 'be acted upon' ( paschein ), which can be either innate or learned. For example, the eyes possess the potentiality of sight (innate – being acted upon), while the capability of playing the flute can be possessed by learning (exercise – acting). Actuality

3660-498: A priori principles. Aristotle's "natural philosophy" spans a wide range of natural phenomena including those now covered by physics, biology and other natural sciences. In Aristotle's terminology, "natural philosophy" is a branch of philosophy examining the phenomena of the natural world, and includes fields that would be regarded today as physics, biology and other natural sciences. Aristotle's work encompassed virtually all facets of intellectual inquiry. Aristotle makes philosophy in

3843-670: A prophecy. During his stay in Egypt, he founded Alexandria , which would become the prosperous capital of the Ptolemaic Kingdom after his death. Control of Egypt passed to Ptolemy I (son of Lagos), the founder of the Ptolemaic Dynasty (305–30 BC) after the death of Alexander. Leaving Egypt in 331 BC, Alexander marched eastward into Achaemenid Assyria in Upper Mesopotamia (now northern Iraq ) and defeated Darius again at

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4026-562: A researcher and lecturer, earning for himself the nickname "mind of the school" by his tutor Plato . In Athens, he probably experienced the Eleusinian Mysteries as he wrote when describing the sights one viewed at the Mysteries, "to experience is to learn" ( παθεĩν μαθεĩν ). Aristotle remained in Athens for nearly twenty years before leaving in 348/47 BC after Plato's death. The traditional story about his departure records that he

4209-592: A result of poisoning by Olympias. News of Philip's death roused many states into revolt, including Thebes, Athens, Thessaly, and the Thracian tribes north of Macedon. When news of the revolts reached Alexander, he responded quickly. Though advised to use diplomacy, Alexander mustered 3,000 Macedonian cavalry and rode south towards Thessaly. He found the Thessalian army occupying the pass between Mount Olympus and Mount Ossa , and ordered his men to ride over Mount Ossa. When

4392-625: A significant impact across the world, and remain a subject of contemporary philosophical discussion. Aristotle's views profoundly shaped medieval scholarship . The influence of his physical science extended from late antiquity and the Early Middle Ages into the Renaissance , and was not replaced systematically until the Enlightenment and theories such as classical mechanics were developed. He influenced Judeo-Islamic philosophies during

4575-543: A significant subject of study in military academies worldwide. Legends of Alexander's exploits coalesced into the third-century Alexander Romance which, in the premodern period, went through over one hundred recensions, translations, and derivations and was translated into almost every European vernacular and every language of the Islamic world. After the Bible , it was the most popular form of European literature. Alexander III

4758-589: A symbol for the cross also equaled 318. Another example is a Christian interpolation in the Sibylline Oracles , where the symbolic significance of the value of 888 (equal to the numerical value of Iesous , the Latinized rendering of the Greek version of Jesus' name) is asserted. Irenaeus also heavily criticized the interpretation of letters by the Gnostic Marcus . Because of their association with Gnosticism and

4941-549: A thrown stone, in the Physics (254b10), and "natural motion", such as of a falling object, in On the Heavens (300a20). In violent motion, as soon as the agent stops causing it, the motion stops also: in other words, the natural state of an object is to be at rest, since Aristotle does not address friction . With this understanding, it can be observed that, as Aristotle stated, heavy objects (on

5124-402: A true form of gematria. Gematria sums can involve single words, or a string of lengthy calculations. A short example of Hebrew numerology that uses gematria is the word חי , chai , 'alive', which is composed of two letters that (using the assignments in the mispar gadol table shown below) add up to 18. This has made 18 a " lucky number " among Jews. In early Jewish sources,

5307-609: A usurper and set out to defeat him. This campaign, initially against Bessus, turned into a grand tour of central Asia. Alexander founded a series of new cities, all called Alexandria, including modern Kandahar in Afghanistan, and Alexandria Eschate ("The Furthest") in modern Tajikistan . The campaign took Alexander through Media , Parthia , Aria (West Afghanistan), Drangiana , Arachosia (South and Central Afghanistan), Bactria (North and Central Afghanistan), and Scythia . In 329 BC, Spitamenes , who held an undefined position in

5490-641: Is 70 ( י =10; י =10; ן =50) and this is also the gematric value of סוד ('secret', ס =60; ו =6; ד =4)‎. Although a type of gematria system ('Aru') was employed by the ancient Babylonian culture, their writing script was logographic , and the numerical assignments they made were to whole words. Aru was very different from the Milesian systems used by Greek and Hebrew cultures, which used alphabetic writing scripts. The value of words with Aru were assigned in an entirely arbitrary manner and correspondences were made through tables, and so cannot be considered

5673-454: Is a historical accident: his works on botany have been lost, but two books on plants by his pupil Theophrastus have survived. Aristotle reports on the sea-life visible from observation on Lesbos and the catches of fishermen. He describes the catfish , electric ray , and frogfish in detail, as well as cephalopods such as the octopus and paper nautilus . His description of the hectocotyl arm of cephalopods, used in sexual reproduction,

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5856-419: Is also a final cause or end. Then Aristotle proceeds and concludes that the actuality is prior to potentiality in formula, in time and in substantiality. With this definition of the particular substance (i.e., matter and form), Aristotle tries to solve the problem of the unity of the beings, for example, "what is it that makes a man one"? Since, according to Plato there are two Ideas: animal and biped, how then

6039-450: Is given a numerical value between 1 and 400, as shown in the following table. In mispar gadol , the five final letters are given their own values, ranging from 500 to 900. It is possible that this well-known cipher was used to conceal other more hidden ciphers in Jewish texts. For instance, a scribe may discuss a sum using the 'standard gematria' cipher, but may intend the sum to be checked with

6222-541: Is man a unity? However, according to Aristotle, the potential being (matter) and the actual one (form) are one and the same. Aristotle's immanent realism means his epistemology is based on the study of things that exist or happen in the world, and rises to knowledge of the universal, whereas for Plato epistemology begins with knowledge of universal Forms (or ideas) and descends to knowledge of particular imitations of these. Aristotle uses induction from examples alongside deduction , whereas Plato relies on deduction from

6405-406: Is predicated. So, according to Aristotle, the form of apple exists within each apple, rather than in the world of the forms. Concerning the nature of change ( kinesis ) and its causes, as he outlines in his Physics and On Generation and Corruption ( 319b–320a), he distinguishes coming-to-be ( genesis , also translated as 'generation') from: Coming-to-be is a change where the substrate of

6588-497: Is probably not in its original form, because it was most likely edited by students and later lecturers. The logical works of Aristotle were compiled into a set of six books called the Organon around 40 BC by Andronicus of Rhodes or others among his followers. The books are: The order of the books (or the teachings from which they are composed) is not certain, but this list was derived from analysis of Aristotle's writings. It goes from

6771-496: Is said to have seen himself, in a dream, securing his wife's womb with a seal engraved with a lion's image. Plutarch offered a variety of interpretations for these dreams: that Olympias was pregnant before her marriage, indicated by the sealing of her womb; or that Alexander's father was Zeus . Ancient commentators were divided about whether the ambitious Olympias promulgated the story of Alexander's divine parentage, variously claiming that she had told Alexander, or that she dismissed

6954-480: Is still a proper universal form. Aristotle disagreed with Plato on this point, arguing that all universals are instantiated at some period of time, and that there are no universals that are unattached to existing things. In addition, Aristotle disagreed with Plato about the location of universals. Where Plato spoke of the forms as existing separately from the things that participate in them, Aristotle maintained that universals exist within each thing on which each universal

7137-413: Is the fulfilment of the end of the potentiality. Because the end ( telos ) is the principle of every change, and potentiality exists for the sake of the end, actuality, accordingly, is the end. Referring then to the previous example, it can be said that an actuality is when a plant does one of the activities that plants do. For that for the sake of which ( to hou heneka ) a thing is, is its principle, and

7320-520: Is thus known as the Milesian system. Early examples include vase graffiti dating to the 6th century BCE. Aristotle wrote that the Pythgoraean tradition , founded in the 6th century BCE by Pythagoras of Samos , practiced isopsephy , the Greek predecessor of gematria. Pythagoras was a contemporary of the philosophers Anaximander , Anaximenes , and the historian Hecataeus , all of whom lived in Miletus, across

7503-598: Is used in the Talmud and Midrash , and elaborately by many post-Talmudic commentators . It involves reading words and sentences as numbers, assigning numerical instead of phonetic value to each letter of the Hebrew alphabet. When read as numbers, they can be compared and contrasted with other words or phrases – cf. the Hebrew proverb נכנס יין יצא סוד ( nichnas yayin yatza sod , lit.   ' wine entered, secret went out ' , i.e. "in vino veritas" ). The gematric value of יין ('wine')

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7686-401: Is valid, but 3 + 1 + 1 {\displaystyle 3+1+1} is not). The original letter itself can also be viewed as a valid combination. Variant spellings of some letters can be used to produce sets of different numbers, which can be added up or analyzed separately. Many various complex formal systems and recursive algorithms, based on graph-like structural analysis of

7869-539: The Iliad , which reportedly became one of Alexander's most prized possessions. Scholars speculate that two of Aristotle's now lost works, On kingship and On behalf of the Colonies , were composed by the philosopher for the young prince. After Philip II's assassination in 336 BC, Aristotle returned to Athens for the second and final time a year later. As a metic , Aristotle could not own property in Athens and thus rented

8052-557: The A∴A∴ and Ordo Templi Orientis (O.T.O). Many other occult authors belonging to various esoteric groups have either mentioned the cipher or published it in their books, including Paul Foster Case of the Builders of the Adytum (B.O.T.A). According to Aristotle (384–322 BCE), isopsephy , an early Milesian system using the Greek alphabet, was part of the Pythagorean tradition , which originated in

8235-476: The Battle of Gaugamela . Darius once more fled the field, and Alexander chased him as far as Arbela . Gaugamela would be the final and decisive encounter between the two. Darius fled over the mountains to Ecbatana (modern Hamadan ) while Alexander captured Babylon . Babylonian astronomical diaries say that "the king of the world, Alexander" sent his scouts with a message to the people of Babylon before entering

8418-659: The Battle of the Granicus , Alexander accepted the surrender of the Persian provincial capital and treasury of Sardis ; he then proceeded along the Ionian coast, granting autonomy and democracy to the cities. Miletus , held by Achaemenid forces, required a delicate siege operation, with Persian naval forces nearby. Further south, at Halicarnassus , in Caria , Alexander successfully waged his first large-scale siege , eventually forcing his opponents,

8601-554: The Battle of the Hydaspes . Due to the mutiny of his homesick troops, he eventually turned back at the Beas River and later died in 323 BC in Babylon , the city of Mesopotamia that he had planned to establish as his empire's capital. Alexander's death left unexecuted an additional series of planned military and mercantile campaigns that would have begun with a Greek invasion of Arabia . In

8784-634: The Early Modern period. John Philoponus (in Late antiquity ) and Galileo (in Early modern period ) are said to have shown by experiment that Aristotle's claim that a heavier object falls faster than a lighter object is incorrect. A contrary opinion is given by Carlo Rovelli , who argues that Aristotle's physics of motion is correct within its domain of validity, that of objects in the Earth 's gravitational field immersed in

8967-515: The Great Comet of 371 BC . Aristotle was one of the first people to record any geological observations. He stated that geological change was too slow to be observed in one person's lifetime. The geologist Charles Lyell noted that Aristotle described such change, including "lakes that had dried up" and "deserts that had become watered by rivers", giving as examples the growth of the Nile delta since

9150-470: The Hebrew Bible itself. The first documented use of gematria is from an Assyrian inscription dating to the 8th century BCE, commissioned by Sargon II . In this inscription, Sargon II states: "the king built the wall of Khorsabad 16,283 cubits long to correspond with the numerical value of his name." The practice of using alphabetic letters to represent numbers developed in the Greek city of Miletus , and

9333-471: The History of Animals in a graded scale of perfection, a nonreligious version of the scala naturae , with man at the top. His system had eleven grades of animal, from highest potential to lowest, expressed in their form at birth: the highest gave live birth to hot and wet creatures, the lowest laid cold, dry mineral-like eggs. Animals came above plants , and these in turn were above minerals. He grouped what

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9516-451: The Milky Way was made up of "those stars which are shaded by the earth from the sun's rays," pointing out partly correctly that if "the size of the sun is greater than that of the earth and the distance of the stars from the earth many times greater than that of the sun, then... the sun shines on all the stars and the earth screens none of them." He also wrote descriptions of comets, including

9699-508: The Physics (215a25), Aristotle effectively states a quantitative law, that the speed, v, of a falling body is proportional (say, with constant c) to its weight, W, and inversely proportional to the density, ρ, of the fluid in which it is falling:; Aristotle implies that in a vacuum the speed of fall would become infinite, and concludes from this apparent absurdity that a vacuum is not possible. Opinions have varied on whether Aristotle intended to state quantitative laws. Henri Carteron held

9882-548: The Seven Wonders of the World , burnt down. This led Hegesias of Magnesia to say that it had burnt down because Artemis was away, attending the birth of Alexander. Such legends may have emerged when Alexander was king, and possibly at his instigation, to show that he was superhuman and destined for greatness from conception. In his early years, Alexander was raised by a nurse, Lanike , sister of Alexander's future general Cleitus

10065-461: The Taurus into Cilicia . After a long pause due to an illness, he marched on towards Syria. Though outmanoeuvered by Darius's significantly larger army, he marched back to Cilicia, where he defeated Darius at Issus . Darius fled the battle, causing his army to collapse, and left behind his wife, his two daughters, his mother Sisygambis , and a fabulous treasure. He offered a peace treaty that included

10248-518: The digit sum , is given in parentheses): Sometimes, the names of the vowels are spelled out and their gematria is calculated using standard methods. There are many different methods used to calculate the numerical value for the individual Hebrew/Aramaic words, phrases or whole sentences. Gematria is the 29th of 32 hermeneutical rules countenanced by the Rabbis of the Talmud for valid aggadic interpretation of

10431-409: The "Companions". Aristotle taught Alexander and his companions about medicine, philosophy, morals, religion, logic, and art. Under Aristotle's tutelage, Alexander developed a passion for the works of Homer , and in particular the Iliad ; Aristotle gave him an annotated copy, which Alexander later carried on his campaigns. Alexander was able to quote Euripides from memory. In his youth, Alexander

10614-513: The "extreme view" that Aristotle's concept of force was basically qualitative, but other authors reject this. Archimedes corrected Aristotle's theory that bodies move towards their natural resting places; metal boats can float if they displace enough water ; floating depends in Archimedes' scheme on the mass and volume of the object, not, as Aristotle thought, its elementary composition. Aristotle's writings on motion remained influential until

10797-729: The 153rd day after the beginning of the flood. Some historians see gematria behind the reference to the number of the name of the Beast in Revelation as 666, which corresponds to the numerical value of the Hebrew transliteration of the Greek name "Neron Kaisar", referring to the 1st century Roman emperor who persecuted the early Christians. Another possible influence on the use of 666 in Revelation goes back to reference to Solomon's intake of 666 talents of gold in 1 Kings 10:14. Gematria makes several appearances in various Christian and Jewish texts written in

10980-519: The 2006 song '786 All is War' by the band Fun-Da-Mental . A recommendation of reciting the basmala 786 times in sequence is recorded in Al-Buni . Sündermann (2006) reports that a contemporary " spiritual healer " from Syria recommends the recitation of the basmala 786 times over a cup of water, which is then to be ingested as medicine. The use of gematria is still pervasive in many parts of Asia and Africa. In standard gematria ( mispar hechrechi ), each letter

11163-477: The 20th and 25th years of his reign using the letters K and KE ( למלכא אלכסנדרוס שנת כ and למלכא אלכסנדרוס שנת כה ). Some old Mishnaic texts may preserve very early usage of this number system, but no surviving written documents exist, and some scholars believe these texts were passed down orally and during the early stages before the Bar Kochba rebellion were never written. Gematria is not known to be found in

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11346-565: The 231 mystical Gates of the Sefer Yetzirah . Dozens of other far more advanced methods are used in Kabbalistic literature, without any particular names. In Ms. Oxford 1,822, one article lists 75 different forms of gematria. Some known methods are recursive in nature and are reminiscent of graph theory or make a lot of use of combinatorics . Rabbi Elazar Rokeach (born c. 1176 – died 1238) often used multiplication, instead of addition, for

11529-517: The 6th century BCE. Plato (c. 427–347 BCE) offers a discussion in the Cratylus , involving a view of words and names as referring (more or less accurately) to the "essential nature" of a person or object and that this view may have influenced—and is central to—isopsephy. A sample of graffiti at Pompeii (destroyed under volcanic ash in 79 CE) reads "I love the girl whose name is phi mu epsilon (545)". Other examples of use in Greek come primarily from

11712-594: The Achaemenid throne. The Achaemenid Empire is normally considered to have fallen with Darius. However, as basic forms of community life and the general structure of government were maintained and resuscitated by Alexander under his own rule, he, in the words of the Iranologist Pierre Briant "may therefore be considered to have acted in many ways as the last of the Achaemenids ." Alexander viewed Bessus as

11895-471: The Battle of Gabai. After the defeat, Spitamenes was killed by his own men, who then sued for peace. During this time, Alexander adopted some elements of Persian dress and customs at his court, notably the custom of proskynesis , either a symbolic kissing of the hand, or prostration on the ground, that Persians showed to their social superiors. This was one aspect of Alexander's broad strategy aimed at securing

12078-537: The Black . Later in his childhood, Alexander was tutored by the strict Leonidas , a relative of his mother, and by Lysimachus of Acarnania . Alexander was raised in the manner of noble Macedonian youths, learning to read, play the lyre , ride, fight, and hunt. When Alexander was ten years old, a trader from Thessaly brought Philip a horse, which he offered to sell for thirteen talents . The horse refused to be mounted, and Philip ordered it away. Alexander, however, detecting

12261-581: The Christian literature. Davies and Allison state that, unlike rabbinic sources, isopsephy is always explicitly stated as being used. During the Renaissance , systems of gematria were devised for the Classical Latin alphabet . There were a number of variations of these which were popular in Europe. In 1525, Christoph Rudolff included a Classical Latin gematria in his work Nimble and beautiful calculation via

12444-539: The Cynic occurred during Alexander's stay in Corinth. When Alexander asked Diogenes what he could do for him, the philosopher disdainfully asked Alexander to stand a little to the side, as he was blocking the sunlight. This reply apparently delighted Alexander who is reported to have said, "But verily, if I were not Alexander, I would like to be Diogenes." At Corinth, Alexander took the title of Hegemon ("leader") and, like Philip,

12627-559: The Dead Sea scrolls, a vast body of texts from 100 BCE – 100 CE, or in any of the documents found from the Bar-Kochba revolt circa 150 CE. According to Proclus in his commentary on the Timaeus of Plato written in the 5th century, the author Theodorus Asaeus from a century earlier interpreted the word "soul" (ψυχή) based on gematria and an inspection of the graphical aspects of

12810-603: The Great Alexander III of Macedon ( Ancient Greek : Ἀλέξανδρος , romanized :  Alexandros ; 20/21 July 356 BC – 10/11 June 323 BC), most commonly known as Alexander the Great , was a king of the ancient Greek kingdom of Macedon . He succeeded his father Philip II to the throne in 336 BC at the age of 20 and spent most of his ruling years conducting a lengthy military campaign throughout Western Asia , Central Asia , parts of South Asia , and Egypt . By

12993-456: The Great beginning in 343 BC. He established a library in the Lyceum, which helped him to produce many of his hundreds of books on papyrus scrolls . Though Aristotle wrote many treatises and dialogues for publication, only around a third of his original output has survived , none of it intended for publication. Aristotle provided a complex synthesis of the various philosophies existing prior to him. His teachings and methods of inquiry have had

13176-506: The Greek city of Perinthus , Alexander reportedly saved his father's life. Meanwhile, the city of Amphissa began to work lands that were sacred to Apollo near Delphi , a sacrilege that gave Philip the opportunity to further intervene in Greek affairs. While Philip was occupied in Thrace, Alexander was ordered to muster an army for a campaign in southern Greece. Concerned that other Greek states might intervene, Alexander made it look as though he

13359-555: The Hebrew word. Some hold it to derive from the order of the Greek alphabet , gamma being the third letter of the Greek alphabet ("gamma tria"). The word has been extant in English since at least the 17th century from translations of works by Giovanni Pico della Mirandola . It is largely used in Jewish texts, notably in those associated with the Kabbalah . Neither the concept nor the term appears in

13542-609: The Illyrian chieftain Cleitus and King Glaukias of the Taulantii were in open revolt against his authority. Marching west into Illyria, Alexander defeated each in turn, forcing the two rulers to flee with their troops. With these victories, he secured his northern frontier. While Alexander campaigned north, the Thebans and Athenians rebelled once again. Alexander immediately headed south. While

13725-702: The Latin alphabet. In particular, the transliterated cipher was taught to members of the Hermetic Order of the Golden Dawn . In 1887, S.L. MacGregor Mathers , who was one of the order's founders, published the transliterated cipher in The Kabbalah Unveiled in the Mathers table . As a former member of the Golden Dawn, Aleister Crowley used the transliterated cipher extensively in his writings for his two magical orders

13908-550: The Lyceum of Athens, Alexandria , and later in Rome . With the Prior Analytics , Aristotle is credited with the earliest study of formal logic, and his conception of it was the dominant form of Western logic until 19th-century advances in mathematical logic . Kant stated in the Critique of Pure Reason that with Aristotle, logic reached its completion. Most of Aristotle's work

14091-519: The Macedonian court a good knowledge of Persian issues, and may even have influenced some of the innovations in the management of the Macedonian state. Suda writes that Anaximenes of Lampsacus was one of Alexander's teachers, and that Anaximenes also accompanied Alexander on his campaigns. At the age of 16, Alexander's education under Aristotle ended. Philip II had waged war against the Thracians to

14274-490: The Macedonians would implore the gods to give them a lawful successor to the kingdom by his niece. This so irritated Alexander that throwing one of the cups at his head, "You villain," said he, "what, am I then a bastard?" Then Philip, taking Attalus's part, rose up and would have run his son through; but by good fortune for them both, either his over-hasty rage, or the wine he had drunk, made his foot slip, so that he fell down on

14457-621: The Middle Ages, as well as Christian theology , especially the Neoplatonism of the Early Church and the scholastic tradition of the Catholic Church . Aristotle was revered among medieval Muslim scholars as "The First Teacher", and among medieval Christians like Thomas Aquinas as simply "The Philosopher", while the poet Dante called him "the master of those who know". His works contain

14640-646: The New Testament. According to one theory, the reference to the miraculous "catch of 153 fish" in John 21:11 is an application of gematria derived from the name of the spring called 'EGLaIM in Ezekiel 47:10. The appearance of this gematria in John 21:11 has been connected to one of the Dead Sea Scrolls , namely 4Q252, which also applies the same gematria of 153 derived from Ezekiel 47 to state that Noah arrived at Mount Ararat on

14823-507: The Soul ( peri psychēs ), posits three kinds of soul ("psyches"): the vegetative soul, the sensitive soul, and the rational soul. Humans have all three. The vegetative soul is concerned with growth and nourishment. The sensitive soul experiences sensations and movement. The unique part of the human, rational soul is its ability to receive forms of other things and to compare them using the nous (intellect) and logos (reason). Alexander

15006-605: The Thessalians awoke the next day, they found Alexander in their rear and promptly surrendered, adding their cavalry to Alexander's force. He then continued south towards the Peloponnese . Alexander stopped at Thermopylae where he was recognized as the leader of the Amphictyonic League before heading south to Corinth . Athens sued for peace and Alexander pardoned the rebels. The famous encounter between Alexander and Diogenes

15189-685: The Thracian forces manning the heights. The Macedonians marched into the country of the Triballi and defeated their army near the Lyginus river (a tributary of the Danube ). Alexander then marched for three days to the Danube , encountering the Getae tribe on the opposite shore. Crossing the river at night, he surprised them and forced their army to retreat after the first cavalry skirmish . News then reached Alexander that

15372-526: The Torah. More advanced methods are usually used for the most significant Biblical verses, prayers , names of God, etc. These methods include: Within the wider topic of gematria are included the various alphabet transformations, where one letter is substituted by another based on a logical scheme: Most of the above-mentioned methods and ciphers are listed by Rabbi Moshe Cordevero . Some authors provide lists of as many as 231 various replacement ciphers, related to

15555-422: The above-mentioned methods. For example, spelling out the letters of a word and then multiplying the squares of each letter value in the resulting string produces very large numbers, in orders of trillions . The spelling process can be applied recursively, until a certain pattern (e.g., all the letters of the word " Talmud ") is found; the gematria of the resulting string is then calculated. The same author also used

15738-537: The age of 30, he had created one of the largest empires in history, stretching from Greece to northwestern India . He was undefeated in battle and is widely considered to be one of history's greatest and most successful military commanders. Until the age of 16, Alexander was tutored by Aristotle . In 335 BC, shortly after his assumption of kingship over Macedon, he campaigned in the Balkans and reasserted control over Thrace and parts of Illyria before marching on

15921-471: The aid and support of the Iranian upper classes. The Greeks however regarded the gesture of proskynesis as the province of deities and believed that Alexander meant to deify himself by requiring it. This cost him the sympathies of many of his countrymen, and he eventually abandoned it. During the long rule of the Achaemenids, the elite positions in many segments of the empire including the central government,

16104-570: The animal died (because of old age, according to Plutarch, at age 30), Alexander named a city after him, Bucephala . When Alexander was 13, Philip began to search for a tutor , and considered such academics as Isocrates and Speusippus , the latter offering to resign from his stewardship of the Academy to take up the post. In the end, Philip chose Aristotle and provided the Temple of the Nymphs at Mieza as

16287-475: The army, and the many satrapies were specifically reserved for Iranians and to a major degree, Persian noblemen. The latter were in many cases additionally connected through marriage alliances with the royal Achaemenid family. This created a problem for Alexander as to whether he had to make use of the various segments and people that had given the empire its solidity and unity for a lengthy period of time. Pierre Briant explains that Alexander realized that it

16470-738: The artful rules of algebra [which] are so commonly called "coss" : At the beginning of the Apocalypisis in Apocalypsin (1532), the German monk Michael Stifel (also known as Steifel) describes the natural order and trigonal number alphabets, claiming to have invented the latter. He used the trigonal alphabet to interpret the prophecy in the Biblical Book of Revelation, and predicted the world would end at 8am on October 19, 1533. The official Lutheran reaction to Steifel's prophecy shows that this type of activity

16653-499: The astrological influences on a particular person. According to one method, the gematria of the person's name is added to the gematria of his or her mother's name; the result is then divided by 7 and 12. The remainders signify a particular planet and Zodiac sign. Historically, hermetic and esoteric groups of the 19th and 20th centuries in the UK and in France used a transliterated Hebrew cipher with

16836-489: The ball along to make it continue to rise even though the hand is no longer acting on it, resulting in the Medieval theory of impetus . Aristotle suggested that the reason for anything coming about can be attributed to four different types of simultaneously active factors. His term aitia is traditionally translated as "cause", but it does not always refer to temporal sequence; it might be better translated as "explanation", but

17019-617: The basics, the analysis of simple terms in the Categories, the analysis of propositions and their elementary relations in On Interpretation , to the study of more complex forms, namely, syllogisms (in the Analytics ) and dialectics (in the Topics and Sophistical Refutations ). The first three treatises form the core of the logical theory stricto sensu : the grammar of the language of logic and

17202-399: The becoming is for the sake of the end; and the actuality is the end, and it is for the sake of this that the potentiality is acquired. For animals do not see in order that they may have sight, but they have sight that they may see. In summary, the matter used to make a house has potentiality to be a house and both the activity of building and the form of the final house are actualities, which

17385-574: The broad sense coextensive with reasoning, which he also would describe as "science". However, his use of the term science carries a different meaning than that covered by the term "scientific method". For Aristotle, "all science ( dianoia ) is either practical, poetical or theoretical" ( Metaphysics 1025b25). His practical science includes ethics and politics; his poetical science means the study of fine arts including poetry; his theoretical science covers physics, mathematics and metaphysics. In his On Generation and Corruption , Aristotle related each of

17568-585: The burning of the Acropolis of Athens during the Second Persian War by Xerxes; Plutarch and Diodorus allege that Alexander's companion, the hetaera Thaïs , instigated and started the fire. Even as he watched the city burn, Alexander immediately began to regret his decision. Plutarch claims that he ordered his men to put out the fires but the flames had already spread to most of the city. Curtius claims that Alexander did not regret his decision until

17751-433: The cause of earthquakes was a gas or vapor ( anathymiaseis ) that was trapped inside the earth and trying to escape, following other Greek authors Anaxagoras , Empedocles and Democritus . Aristotle also made many observations about the hydrologic cycle. For example, he made some of the earliest observations about desalination: he observed early – and correctly – that when seawater is heated, freshwater evaporates and that

17934-486: The city of Stagira in northern Greece during the Classical period . His father, Nicomachus , died when Aristotle was a child, and he was brought up by a guardian. At around eighteen years old, he joined Plato 's Academy in Athens and remained there until the age of thirty seven ( c.  347 BC ). Shortly after Plato died, Aristotle left Athens and, at the request of Philip II of Macedon , tutored his son Alexander

18117-554: The city of Thebes , which was subsequently destroyed in battle . Alexander then led the League of Corinth , and used his authority to launch the pan-Hellenic project envisaged by his father, assuming leadership over all Greeks in their conquest of Persia . In 334 BC, he invaded the Achaemenid Persian Empire and began a series of campaigns that lasted for 10 years. Following his conquest of Asia Minor , Alexander broke

18300-605: The city: "I shall not enter your houses". From Babylon, Alexander went to Susa , one of the Achaemenid capitals, and captured its treasury. He sent the bulk of his army to the Persian ceremonial capital of Persepolis via the Persian Royal Road . Alexander himself took selected troops on the direct route to the city. He then stormed the pass of the Persian Gates (in the modern Zagros Mountains ) which had been blocked by

18483-504: The coast held no major ports and Alexander moved inland. At Termessos , Alexander humbled and did not storm the Pisidian city. At the ancient Phrygian capital of Gordium , Alexander "undid" the hitherto unsolvable Gordian Knot , a feat said to await the future "king of Asia ". According to the story, Alexander proclaimed that it did not matter how the knot was undone, and hacked it apart with his sword. In spring 333 BC, Alexander crossed

18666-503: The contest. Philip marched on Amphissa (ostensibly acting on the request of the Amphictyonic League ), capturing the mercenaries sent there by Demosthenes and accepting the city's surrender. Philip then returned to Elatea, sending a final offer of peace to Athens and Thebes, who both rejected it. As Philip marched south, his opponents blocked him near Chaeronea , Boeotia . During the ensuing Battle of Chaeronea , Philip commanded

18849-487: The correct rules of reasoning. The Rhetoric is not conventionally included, but it states that it relies on the Topics . What is today called Aristotelian logic with its types of syllogism (methods of logical argument), Aristotle himself would have labelled "analytics". The term "logic" he reserved to mean dialectics . The word "metaphysics" appears to have been coined by the first century AD editor who assembled various small selections of Aristotle's works to create

19032-470: The criticisms of Irenaeus as well as Hippolytus of Rome and Epiphanius of Salamis , this form of interpretation never became popular in Christianity—though it does appear in at least some texts. Another two examples can be found in 3 Baruch , a text that may have either been composed by a Jew or a Christian sometime between the 1st and 3rd centuries. In the first example, a snake is stated to consume

19215-399: The data to come to the theory of evolution . Aristotle's writings can seem to modern readers close to implying evolution, but while Aristotle was aware that new mutations or hybridizations could occur, he saw these as rare accidents. For Aristotle, accidents, like heat waves in winter, must be considered distinct from natural causes. He was thus critical of Empedocles's materialist theory of

19398-787: The death. Following Alexander's death, anti-Macedonian sentiment in Athens was rekindled. In 322 BC, Demophilus and Eurymedon the Hierophant reportedly denounced Aristotle for impiety, prompting him to flee to his mother's family estate in Chalcis, Euboea , at which occasion he was said to have stated "I will not allow the Athenians to sin twice against philosophy" – a reference to Athens's trial and execution of Socrates . He died in Chalcis, Euboea of natural causes later that same year, having named his student Antipater as his chief executor and leaving

19581-479: The earliest known formal study of logic, and were studied by medieval scholars such as Peter Abelard and Jean Buridan . Aristotle's influence on logic continued well into the 19th century. In addition, his ethics , although always influential, gained renewed interest with the modern advent of virtue ethics . In general, the details of Aristotle's life are not well-established. The biographies written in ancient times are often speculative and historians only agree on

19764-543: The end of his life, the two men became estranged having diverging opinions over issues, like the optimal administration of city-states, the treatment of conquered populations, such as the Persians, and philosophical questions, like the definition of braveness. A widespread speculation in antiquity suggested that Aristotle played a role in Alexander's death, but the only evidence of this is an unlikely claim made some six years after

19947-534: The enemy's cohesion, Philip ordered his troops to press forward and quickly routed them. With the Athenians lost, the Thebans were surrounded. Left to fight alone, they were defeated. After the victory at Chaeronea, Philip and Alexander marched unopposed into the Peloponnese, devastating much of Laconia and ejecting the Spartans from various parts of it. At Corinth , Philip established a "Hellenic Alliance" (modelled on

20130-559: The famous oracle of Amun-Ra at the Siwa Oasis in the Libyan desert, at which he was pronounced the son of the deity Amun . Henceforth, Alexander often referred to Zeus-Ammon as his true father, and after his death, currency depicted him adorned with horns , using the Horns of Ammon as a symbol of his divinity. The Greeks interpreted this message – one that the gods addressed to all pharaohs – as

20313-512: The first centuries of the common era. One appearance of gematria in the early Christian period is in the Epistle of Barnabas 9:6–7, which dates to sometime between 70 and 132 CE. There, the 318 servants of Abraham in Genesis 14:14 is used to indicate that Abraham looked forward to the coming of Jesus as the numerical value of some of the letters in the Greek name for Jesus as well as the 't' representing

20496-562: The floor, at which Alexander reproachfully insulted him: "See there," said he, "the man who makes preparations to pass out of Europe into Asia, overturned in passing from one seat to another." In 337 BC, Alexander fled Macedon with his mother, dropping her off with her brother, King Alexander I of Epirus in Dodona , capital of the Molossians . He continued to Illyria where he sought refuge with one or more Illyrian kings, perhaps with Glaucias , and

20679-533: The following. Brood size decreases with (adult) body mass, so that an elephant has fewer young (usually just one) per brood than a mouse. Lifespan increases with gestation period , and also with body mass, so that elephants live longer than mice, have a longer period of gestation, and are heavier. As a final example, fecundity decreases with lifespan, so long-lived kinds like elephants have fewer young in total than short-lived kinds like mice. Aristotle distinguished about 500 species of animals , arranging these in

20862-403: The form of the substance is the actual house, namely 'covering for bodies and chattels' or any other differentia that let us define something as a house. The formula that gives the components is the account of the matter, and the formula that gives the differentia is the account of the form. Like his teacher Plato, Aristotle's philosophy aims at the universal . Aristotle's ontology places

21045-509: The four elements proposed earlier by Empedocles , earth , water , air , and fire , to two of the four sensible qualities, hot, cold, wet, and dry. In the Empedoclean scheme, all matter was made of the four elements, in differing proportions. Aristotle's scheme added the heavenly aether , the divine substance of the heavenly spheres , stars and planets. Aristotle describes two kinds of motion: "violent" or "unnatural motion", such as that of

21228-428: The ground, say) require more force to make them move; and objects pushed with greater force move faster. This would imply the equation incorrect in modern physics. Natural motion depends on the element concerned: the aether naturally moves in a circle around the heavens, while the 4 Empedoclean elements move vertically up (like fire, as is observed) or down (like earth) towards their natural resting places. In

21411-438: The horse's fear of its own shadow, asked to tame the horse, which he eventually managed. Plutarch stated that Philip, overjoyed at this display of courage and ambition, kissed his son tearfully, declaring: "My boy, you must find a kingdom big enough for your ambitions. Macedon is too small for you", and bought the horse for him. Alexander named it Bucephalas , meaning "ox-head". Bucephalas carried Alexander as far as India . When

21594-440: The image. According to Aristotle, spontaneity and chance are causes of some things, distinguishable from other types of cause such as simple necessity. Chance as an incidental cause lies in the realm of accidental things , "from what is spontaneous". There is also more a specific kind of chance, which Aristotle names "luck", that only applies to people's moral choices. In astronomy , Aristotle refuted Democritus 's claim that

21777-491: The lands he had already lost, and a ransom of 10,000 talents for his family. Alexander replied that since he was now king of Asia, it was he alone who decided territorial divisions. Alexander proceeded to take possession of Syria , and most of the coast of the Levant . In the following year, 332 BC, he was forced to attack Tyre , which he captured after a long and difficult siege . The men of military age were massacred and

21960-555: The late Hellenistic period, in 78 BCE. Scholars have identified gematria in the Hebrew Bible , the canon of which was fixed during the Hasmonean dynasty (c. 140 BCE to 37 BCE), though some scholars argue it was not fixed until the second century CE or even later. The Hasmonean king of Judea, Alexander Jannaeus (died 76 BCE) had coins inscribed in Aramaic with the Phoenician alphabet , marking

22143-558: The legendary physician Asclepius and his son Machaon . Both of Aristotle's parents died when he was still at a young age and Proxenus of Atarneus became his guardian. Although little information about Aristotle's childhood has survived, he probably spent some time in the Macedonian capital, making his first connections with the Macedonian monarchy . At the age of seventeen or eighteen, Aristotle moved to Athens to continue his education at Plato's Academy . He became distinguished as

22326-484: The letter names and their relations to each other, modular arithmetic , pattern search and other highly advanced techniques, are found in the "Sefer ha-Malchut" by Rabbi David ha-Levi of the Draa Valley , a Spanish-Moroccan Kabbalist of the 15th–16th century. Rabbi David ha-Levi's methods also consider the numerical values and other properties of the vowels . Kabbalistic astrology uses some specific methods to determine

22509-431: The letters that constitute the word HaSatan is three hundred and sixty four: Heh has a value of five, sin has a value of three hundred, tet has a value of nine, and nun has a value of fifty. Three hundred and sixty-four days of the solar year, which is three hundred and sixty-five days long, Satan has license to prosecute." Genesis 14:14 states that Abraham took 318 of his servants to help him rescue some of his kinsmen, which

22692-482: The letters that make up the word. According to Proclus, Theodorus learned these methods from the writings of Numenius of Apamea and Amelius . Proclus rejects these methods by appealing to the arguments against them put forth by the Neoplatonic philosopher Iamblichus . The first argument was that some letters have the same numerical value but opposite meaning. His second argument was that the form of letters changes over

22875-607: The mentor of Welsh magician John Dee , who makes reference to the Agrippa code in Theorem XVI of his 1564 book, Monas Hieroglyphica . Since the death of Aleister Crowley (1875–1947), a number of people have proposed numerical correspondences for English gematria in order to achieve a deeper understanding of Crowley's The Book of the Law (1904). One such system, the English Qaballa ,

23058-568: The mercenary captain Memnon of Rhodes and the Persian satrap of Caria, Orontobates , to withdraw by sea. Alexander left the government of Caria to a member of the Hecatomnid dynasty, Ada , who adopted Alexander. From Halicarnassus, Alexander proceeded into mountainous Lycia and the Pamphylian plain, asserting control over all coastal cities to deny the Persians naval bases. From Pamphylia onwards,

23241-468: The modern zoologist would call vertebrates as the hotter "animals with blood", and below them the colder invertebrates as "animals without blood". Those with blood were divided into the live-bearing ( mammals ), and the egg-laying ( birds , reptiles , fish ). Those without blood were insects, crustacea (non-shelled – cephalopods, and shelled ) and the hard-shelled molluscs ( bivalves and gastropods ). He recognised that animals did not exactly fit into

23424-446: The more to make the attempt". After three unsuccessful assaults, the stronghold fell, but not before Alexander had received a serious shoulder wound. As in Tyre, men of military age were put to the sword, and the women and children were sold into slavery. Egypt was only one of a large number of territories taken by Alexander from the Persians. After his trip to Siwa, Alexander was crowned in

23607-481: The most part, intended for widespread publication; they are generally thought to be lecture aids for his students. His most important treatises include Physics , Metaphysics , Nicomachean Ethics , Politics , On the Soul and Poetics . Aristotle studied and made significant contributions to "logic, metaphysics, mathematics, physics, biology, botany, ethics, politics, agriculture, medicine, dance, and theatre." While Alexander deeply admired Aristotle, near

23790-513: The most prominent being the city of Alexandria in Egypt. Alexander's settlement of Greek colonists and the resulting spread of Greek culture led to the overwhelming dominance of Hellenistic civilization and influence as far east as the Indian subcontinent . The Hellenistic period developed through the Roman Empire into modern Western culture ; the Greek language became the lingua franca of

23973-445: The near-by island of Lesbos . During this time, Aristotle married Pythias , Hermias's adoptive daughter and niece, and had a daughter whom they also named Pythias. In 343/42 BC, Aristotle was invited to Pella by Philip II of Macedon in order to become the tutor to his thirteen-year-old son Alexander ; a choice perhaps influenced by the relationship of Aristotle's family with the Macedonian dynasty. Aristotle taught Alexander at

24156-470: The negotiations and scolded Alexander for wishing to marry the daughter of a Carian, explaining that he wanted a better bride for him. Philip exiled four of Alexander's friends, Harpalus , Nearchus , Ptolemy and Erigyius , and had the Corinthians bring Thessalus to him in chains. In the 24th day of the Macedonian month Dios, which probably corresponds to 25 October 336 BC, while at Aegae attending

24339-457: The next morning. Plutarch recounts an anecdote in which Alexander pauses and talks to a fallen statue of Xerxes as if it were a live person: Shall I pass by and leave you lying there because of the expeditions you led against Greece, or shall I set you up again because of your magnanimity and your virtues in other respects? Alexander then chased Darius, first into Media, and then Parthia. The Persian king no longer controlled his own destiny, and

24522-481: The niece of his general Attalus . The marriage made Alexander's position as heir less secure, since any son of Cleopatra Eurydice would be a fully Macedonian heir, while Alexander was only half-Macedonian. During the wedding banquet , a drunken Attalus publicly prayed to the gods that the union would produce a legitimate heir. At the wedding of Cleopatra, whom Philip fell in love with and married, she being much too young for him, her uncle Attalus in his drink desired

24705-434: The north, which left Alexander in charge as regent and heir apparent . During Philip's absence, the Thracian tribe of Maedi revolted against Macedonia. Alexander responded quickly and drove them from their territory. The territory was colonized, and a city, named Alexandropolis , was founded. Upon Philip's return, Alexander was dispatched with a small force to subdue the revolts in southern Thrace . Campaigning against

24888-404: The oceans are then replenished by the cycle of rainfall and river runoff ("I have proved by experiment that salt water evaporated forms fresh and the vapor does not when it condenses condense into sea water again.") Aristotle was the first person to study biology systematically, and biology forms a large part of his writings. He spent two years observing and describing the zoology of Lesbos and

25071-532: The old anti-Persian alliance of the Greco-Persian Wars ), which included most Greek city-states except Sparta. Philip was then named Hegemon (often translated as "Supreme Commander") of this league (known by modern scholars as the League of Corinth ), and announced his plans to attack the Persian Empire . When Philip returned to Pella, he fell in love with and married Cleopatra Eurydice in 338 BC,

25254-420: The other cities again hesitated, Thebes decided to fight. The Theban resistance was ineffective and Alexander razed the city and divided its territory between the other Boeotian cities. The end of Thebes cowed Athens, leaving all of Greece temporarily at peace. Alexander then set out on his Asian campaign, leaving Antipater as regent. After his victory at the Battle of Chaeronea (338 BC) , Philip II began

25437-536: The power of Achaemenid Persia in a series of decisive battles, including those at Issus and Gaugamela ; he subsequently overthrew Darius III and conquered the Achaemenid Empire in its entirety. After the fall of Persia, the Macedonian Empire held a vast swath of territory between the Adriatic Sea and the Indus River . Alexander endeavored to reach the "ends of the world and the Great Outer Sea" and invaded India in 326 BC, achieving an important victory over Porus , an ancient Indian king of present-day Punjab , at

25620-437: The primary kind of knowledge; but if there is some motionless independent thing, the knowledge of this precedes it and is first philosophy, and it is universal in just this way , because it is first. And it belongs to this sort of philosophy to study being as being, both what it is and what belongs to it just by virtue of being. Aristotle examines the concepts of substance ( ousia ) and essence ( to ti ên einai , "the what it

25803-519: The private school of Mieza , in the gardens of the Nymphs , the royal estate near Pella. Alexander's education probably included a number of subjects, such as ethics and politics , as well as standard literary texts, like Euripides and Homer . It is likely that during Aristotle's time in the Macedonian court, other prominent nobles, like Ptolemy and Cassander , would have occasionally attended his lectures. Aristotle encouraged Alexander toward eastern conquest, and his own attitude towards Persia

25986-481: The region and was the predominant language of the Byzantine Empire until its collapse in the mid-15th century AD. Alexander became legendary as a classical hero in the mould of Achilles , featuring prominently in the historical and mythical traditions of both Greek and non-Greek cultures. His military achievements and unprecedented enduring successes in battle made him the measure against which many later military leaders would compare themselves, and his tactics remain

26169-402: The right wing and Alexander the left, accompanied by a group of Philip's trusted generals. According to the ancient sources, the two sides fought bitterly for some time. Philip deliberately commanded his troops to retreat, counting on the untested Athenian hoplites to follow, thus breaking their line. Alexander was the first to break the Theban lines, followed by Philip's generals. Having damaged

26352-433: The same certainty as experimental science, but it sets out testable hypotheses and constructs a narrative explanation of what is observed. In this sense, Aristotle's biology is scientific. From the data he collected and documented, Aristotle inferred quite a number of rules relating the life-history features of the live-bearing tetrapods (terrestrial placental mammals) that he studied. Among these correct predictions are

26535-417: The satrapy of Sogdiana, betrayed Bessus to Ptolemy , one of Alexander's trusted companions, and Bessus was executed. However, at some point later when Alexander was on the Jaxartes dealing with an incursion by a horse nomad army, Spitamenes raised Sogdiana in revolt. Alexander personally defeated the Scythians at the Battle of Jaxartes and immediately launched a campaign against Spitamenes, defeating him in

26718-449: The sea from Samos . The Milesian system was in common use by the reign of Alexander the Great (336–323 BCE) and was adopted by other cultures during the subsequent Hellenistic period . It was officially adopted in Egypt during the reign of Ptolemy II Philadelphus (284–246 BCE). In early biblical texts, numbers were written out in full using Hebrew number words . The first evidence of the use of Hebrew letters as numerals appears during

26901-406: The suggestion as impious. On the day Alexander was born, Philip was preparing a siege on the city of Potidea on the peninsula of Chalcidice . That same day, Philip received news that his general Parmenion had defeated the combined Illyrian and Paeonian armies and that his horses had won at the Olympic Games . It was also said that on this day, the Temple of Artemis in Ephesus , one of

27084-816: The sums of all possible unique letter combinations, which add up to the value of a given letter. For example, the letter Hei , which has the standard value of 5, can be produced by combining 1 + 1 + 1 + 1 + 1 {\displaystyle 1+1+1+1+1} , 2 + 1 + 1 + 1 {\displaystyle 2+1+1+1} , 3 + 1 + 1 {\displaystyle 3+1+1} , 4 + 1 {\displaystyle 4+1} , 2 + 2 + 1 {\displaystyle 2+2+1} , or 2 + 3 {\displaystyle 2+3} , which adds up to 30 {\displaystyle 30} . Sometimes combinations of repeating letters are not allowed (e.g., 2 + 3 {\displaystyle 2+3}

27267-452: The surrounding seas, including in particular the Pyrrha lagoon in the centre of Lesbos. His data in History of Animals , Generation of Animals , Movement of Animals , and Parts of Animals are assembled from his own observations, statements given by people with specialized knowledge, such as beekeepers and fishermen, and less accurate accounts provided by travellers from overseas. His apparent emphasis on animals rather than plants

27450-406: The taxation system on the Greek models and organized the military occupation of the country, but in early 331 BC he left for Asia in pursuit of the Persians. Alexander advanced on Egypt in later 332 BC where he was regarded as a liberator. To legitimize taking power and be recognized as the descendant of the long line of pharaohs, Alexander made sacrifices to the gods at Memphis and went to consult

27633-405: The temple of Ptah at Memphis. It appears that the Egyptian people did not find it disturbing that he was a foreigner – nor that he was absent for virtually his entire reign. Alexander restored the temples neglected by the Persians and dedicated new monuments to the Egyptian gods. In the temple of Luxor, near Karnak, he built a chapel for the sacred barge. During his brief months in Egypt, he reformed

27816-404: The term can also refer to other forms of calculation or letter manipulation, for example atbash . Classical scholars agree that the Hebrew word gematria was derived from the Greek word γεωμετρία geōmetriā , " geometry ", though some scholars believe it to derive from Greek γραμματεια grammateia "knowledge of writing ". It is likely that both Greek words had an influence on the formation of

27999-557: The theme of the king who protects the lands and the peasants". Alexander wrote a letter in 332 BC to Darius III, wherein he argued that he was worthier than Darius "to succeed to the Achaemenid throne". However, Alexander's eventual decision to burn the Achaemenid palace at Persepolis in conjunction with the major rejection and opposition of the "entire Persian people" made it impracticable for him to pose himself as Darius' legitimate successor. Against Bessus (Artaxerxes V) however, Briant adds, Alexander reasserted "his claim to legitimacy as

28182-402: The thing that has undergone the change has itself changed. In that particular change he introduces the concept of potentiality ( dynamis ) and actuality ( entelecheia ) in association with the matter and the form. Referring to potentiality, this is what a thing is capable of doing or being acted upon if the conditions are right and it is not prevented by something else. For example, the seed of

28365-423: The throne. He had his cousin, the former Amyntas IV , executed. He also had two Macedonian princes from the region of Lyncestis killed for having been involved in his father's assassination, but spared a third, Alexander Lyncestes . Olympias had Cleopatra Eurydice, and Europa, her daughter by Philip, burned alive. When Alexander learned about this, he was furious. Alexander also ordered the murder of Attalus, who

28548-421: The time of Homer , and "the upheaving of one of the Aeolian islands , previous to a volcanic eruption ."' Meteorologica lends its name to the modern study of meteorology, but its modern usage diverges from the content of Aristotle's ancient treatise on meteors . The ancient Greeks did use the term for a range of atmospheric phenomena, but also for earthquakes and volcanic eruptions. Aristotle proposed that

28731-424: The traditional rendering will be employed here. Aristotle describes experiments in optics using a camera obscura in Problems , book 15. The apparatus consisted of a dark chamber with a small aperture that let light in. With it, he saw that whatever shape he made the hole, the sun's image always remained circular. He also noted that increasing the distance between the aperture and the image surface magnified

28914-401: The treatise we know by the name Metaphysics . Aristotle called it "first philosophy", and distinguished it from mathematics and natural science (physics) as the contemplative ( theoretikē ) philosophy which is "theological" and studies the divine. He wrote in his Metaphysics (1026a16): If there were no other independent things besides the composite natural ones, the study of nature would be

29097-492: The universal ( katholou ) in particulars ( kath' hekaston ), things in the world, whereas for Plato the universal is a separately existing form which actual things imitate. For Aristotle, "form" is still what phenomena are based on, but is "instantiated" in a particular substance. Plato argued that all things have a universal form , which could be either a property or a relation to other things. When one looks at an apple, for example, one sees an apple, and one can also analyse

29280-467: The wedding of his daughter Cleopatra to Olympias's brother, Alexander I of Epirus , Philip was assassinated by the captain of his bodyguards , Pausanias . As Pausanias tried to escape, he tripped over a vine and was killed by his pursuers, including two of Alexander's companions, Perdiccas and Leonnatus . Alexander was proclaimed king on the spot by the nobles and army at the age of 20. Alexander began his reign by eliminating potential rivals to

29463-477: The western coast of Anatolia revolted until the news arrived that Philip had been murdered and had been succeeded by his young son Alexander. The Macedonians were demoralized by Philip's death and were subsequently defeated near Magnesia by the Achaemenids under the command of the mercenary Memnon of Rhodes . Taking over the invasion project of Philip II, Alexander's army crossed the Hellespont in 334 BC with approximately 48,100 soldiers, 6,100 cavalry, and

29646-406: The women and children sold into slavery . When Alexander destroyed Tyre, most of the towns on the route to Egypt quickly capitulated. However, Alexander was met with resistance at Gaza . The stronghold was heavily fortified and built on a hill, requiring a siege. When "his engineers pointed out to him that because of the height of the mound it would be impossible... this encouraged Alexander all

29829-445: The work of establishing himself as hēgemṓn ( Greek : ἡγεμών ) of a league which according to Diodorus was to wage a campaign against the Persians for the sundry grievances Greece suffered in 480 and free the Greek cities of the western coast and islands from Achaemenid rule. In 336 he sent Parmenion , Amyntas , Andromenes, Attalus, and an army of 10,000 men into Anatolia to make preparations for an invasion. The Greek cities on

30012-428: The years following his death, a series of civil wars broke out across the Macedonian Empire, eventually leading to its disintegration at the hands of the Diadochi . With his death marking the start of the Hellenistic period , Alexander's legacy includes the cultural diffusion and syncretism that his conquests engendered, such as Greco-Buddhism and Hellenistic Judaism . He founded more than twenty cities , with

30195-408: The years, and so their graphical qualities cannot hold any deeper meaning. Finally, he puts forth the third argument that when one uses all sorts of methods as addition, subtraction, division, multiplication, and even ratios, the infinite ways in which these can be combined allow virtually any number to be produced to suit any purpose. Some scholars propose that at least two cases of gematria appear in

30378-421: Was also acquainted with Persian exiles at the Macedonian court, who received the protection of Philip II for several years as they opposed Artaxerxes III . Among them were Artabazos II and his daughter Barsine , possible future mistress of Alexander, who resided at the Macedonian court from 352 to 342 BC, as well as Amminapes , future satrap of Alexander, or a Persian nobleman named Sisines . This gave

30561-415: Was appointed commander for the coming war against Persia. He also received news of a Thracian uprising. Before crossing to Asia, Alexander wanted to safeguard his northern borders. In the spring of 335 BC, he advanced to suppress several revolts. Starting from Amphipolis , he travelled east into the country of the "Independent Thracians", and at Mount Haemus , the Macedonian army attacked and defeated

30744-410: Was born in Pella , the capital of the Kingdom of Macedon , on the sixth day of the ancient Greek month of Hekatombaion , which probably corresponds to 20 July 356 BC (although the exact date is uncertain). He was the son of the erstwhile king of Macedon, Philip II , and his fourth wife, Olympias (daughter of Neoptolemus I , king of Epirus ). Although Philip had seven or eight wives, Olympias

30927-568: Was disappointed with the Academy's direction after control passed to Plato's nephew Speusippus , although it is possible that the anti-Macedonian sentiments in Athens could have also influenced his decision. Aristotle left with Xenocrates to Assos in Asia Minor , where he was invited by his former fellow student Hermias of Atarneus ; he stayed there for a few years and left around the time of Hermias' death. While at Assos, Aristotle and his colleague Theophrastus did extensive research in botany and marine biology , which they later continued at

31110-401: Was discovered by English magician James Lees on November 26, 1976. The founding of Lees' magical order ( O∴A∴A∴ ) in 1974 and his discovery of EQ are chronicled in All This and a Book by Cath Thompson. Aristotle Aristotle ( Attic Greek : Ἀριστοτέλης , romanized:  Aristotélēs ; 384–322 BC) was an Ancient Greek philosopher and polymath . His writings cover

31293-414: Was his principal wife for some time, likely because she gave birth to Alexander. Several legends surround Alexander's birth and childhood. According to the ancient Greek biographer Plutarch , on the eve of the consummation of her marriage to Philip, Olympias dreamed that her womb was struck by a thunderbolt that caused a flame to spread "far and wide" before dying away. Sometime after the wedding, Philip

31476-425: Was in command of the advance guard of the army in Asia Minor and Cleopatra's uncle. Attalus was at that time corresponding with Demosthenes, regarding the possibility of defecting to Athens. Attalus also had severely insulted Alexander, and following Cleopatra's murder, Alexander may have considered him too dangerous to be left alive. Alexander spared Arrhidaeus, who was by all accounts mentally disabled, possibly as

31659-407: Was insufficient to merely exploit the internal contradictions within the imperial system as in Asia Minor, Babylonia or Egypt; he also had to (re)create a central government with or without the support of the Iranians. As early as 334 BC he demonstrated awareness of this, when he challenged incumbent King Darius III "by appropriating the main elements of the Achaemenid monarchy's ideology, particularly

31842-413: Was not welcome. Belief in the power of numbers was unacceptable in reformed circles, and gematria was not part of the reformation agenda. An analogue of the Greek system of isopsephy using the Latin alphabet appeared in 1583, in the works of the French poet Étienne Tabourot . This cipher and variations of it were published or referred to in the major work of Italian Pietro Bongo Numerorum Mysteria, and

32025-556: Was preparing to attack Illyria instead. During this turmoil, the Illyrians invaded Macedonia, only to be repelled by Alexander. Philip and his army joined his son in 338 BC, and they marched south through Thermopylae , taking it after stubborn resistance from its Theban garrison. They went on to occupy the city of Elatea , only a few days' march from both Athens and Thebes . The Athenians, led by Demosthenes , voted to seek alliance with Thebes against Macedonia. Both Athens and Philip sent embassies to win Thebes's favour, but Athens won

32208-425: Was strongly ethnocentric . In one famous example, he counsels Alexander to be "a leader to the Greeks and a despot to the barbarians". Alexander's education under the guardianship of Aristotle likely lasted for only a few years, as at around the age of sixteen he returned to Pella and was appointed regent of Macedon by his father Philip. During this time, Aristotle is said to have gifted Alexander an annotated copy of

32391-512: Was taken in Peskita 70b to be a reference to Eleazar, whose name has a numerical value of 318. The total value of the letters of the Islamic Basmala , i.e. the phrase Bismillah al-Rahman al-Rahim ("In the name of God , the Most Gracious , the Most Merciful "), according to the standard Abjadi system of numerology , is 786 . This number has therefore acquired a significance in folk Islam and Near Eastern folk magic and also appears in many instances of pop-culture, such as its appearance in

32574-452: Was taken prisoner by Bessus , his Bactrian satrap and kinsman. As Alexander approached, Bessus had his men fatally stab the Great King and then declared himself Darius's successor as Artaxerxes V, before retreating into Central Asia to launch a guerrilla campaign against Alexander. Alexander buried Darius's remains next to his Achaemenid predecessors in a regal funeral. He claimed that, while dying, Darius had named him as his successor to

32757-421: Was to be") in his Metaphysics (Book VII), and he concludes that a particular substance is a combination of both matter and form, a philosophical theory called hylomorphism . In Book VIII, he distinguishes the matter of the substance as the substratum , or the stuff of which it is composed. For example, the matter of a house is the bricks, stones, timbers, etc., or whatever constitutes the potential house, while

32940-818: Was treated as a guest, despite having defeated them in battle a few years before. However, it appears Philip never intended to disown his politically and militarily trained son. Accordingly, Alexander returned to Macedon after six months due to the efforts of a family friend, Demaratus , who mediated between the two parties. In the following year, the Persian satrap (governor) of Caria , Pixodarus , offered his eldest daughter to Alexander's half-brother, Philip Arrhidaeus . Olympias and several of Alexander's friends suggested this showed Philip intended to make Arrhidaeus his heir. Alexander reacted by sending an actor, Thessalus of Corinth, to tell Pixodarus that he should not offer his daughter's hand to an illegitimate son, but instead to Alexander. When Philip heard of this, he stopped

33123-457: Was used by Leo Tolstoy in his 1865 work War and Peace to identify Napoleon with the number of the Beast . English Qabalah refers to several different systems of mysticism related to Hermetic Qabalah that interpret the letters of the English alphabet via an assigned set of numerological significances. The first system of English gematria was used by the poet John Skelton in 1523 in his poem "The Garland of Laurel". The Agrippa code

33306-402: Was used with English as well as Latin. It was defined by Heinrich Cornelius Agrippa in 1532, in his work De Occulta Philosopha . Agrippa based his system on the order of the Classical Latin alphabet using a ranked valuation as in isopsephy , appending the four additional letters in use at the time after Z, including J (600) and U (700), which were still considered letter variants. Agrippa was

33489-588: Was widely disbelieved until the 19th century. He gives accurate descriptions of the four-chambered fore-stomachs of ruminants , and of the ovoviviparous embryological development of the hound shark . He notes that an animal's structure is well matched to function so birds like the heron (which live in marshes with soft mud and live by catching fish) have a long neck, long legs, and a sharp spear-like beak, whereas ducks that swim have short legs and webbed feet. Darwin , too, noted these sorts of differences between similar kinds of animal, but unlike Aristotle used

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