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Nicole Oresme

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In astrology , an aspect is an angle that planets make to each other in the horoscope ; as well as to the Ascendant , Midheaven , Descendant , Lower Midheaven , and other points of astrological interest. As viewed from Earth , aspects are measured by the angular distance in degrees and minutes of ecliptic longitude between two points. According to astrological tradition, they indicate the timing of transitions and developmental changes in the lives of people and affairs relative to the Earth.

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132-433: Nicole Oresme ( French: [nikɔl ɔʁɛm] ; 1 January 1325 – 11 July 1382), also known as Nicolas Oresme , Nicholas Oresme , or Nicolas d'Oresme , was a French philosopher of the later Middle Ages . He wrote influential works on economics , mathematics , physics , astrology , astronomy , philosophy , and theology ; was Bishop of Lisieux , a translator , a counselor of King Charles V of France , and one of

264-425: A linguistic therapy. According to Ludwig Wittgenstein , for instance, philosophy aims at dispelling misunderstandings to which humans are susceptible due to the confusing structure of ordinary language . Phenomenologists , such as Edmund Husserl , characterize philosophy as a "rigorous science" investigating essences . They practice a radical suspension of theoretical assumptions about reality to get back to

396-428: A 1920 Essay on Medieval Economic Teaching , Irish economist George O'Brien summed up the favorable academic consensus over Oresme's Treatise on the origin, nature, law, and alterations of money : The merits of this work have excited the unanimous admiration of all who have studied it. Roscher says that it contains 'a theory of money, elaborated in the fourteenth century, which remains perfectly correct to-day, under

528-522: A Conjunction is also under tension from one or more hard aspects with one or more other planets, then the added presence of a Conjunction will further intensify the tension of that hard aspect. If a planet is in very close Conjunction to the Sun (within 17 minutes of arc or only about 0.28°), the Conjunction is of great strength. The planet is said to be Cazimi , which is an ancient astrological term meaning "in

660-434: A discounting orb ) may be in either category. Easy aspects may be positive, because they enhance opportunity for talent to grow. Hard aspects may be negative, because they enhance a challenge where an adjustment must be made to reach balance. Typically, manifestation may occur with a Conjunction, Square or Opposition. Planets may be considered. Mars and Uranus tend to ignite while Saturn and Neptune inhibit. Whether

792-512: A distinct point. This line of thought coincides with Oresme's challenge to the structure of the universe. Oresme's description of motion was not popular, although it was thorough. A Richard Brinkley is thought to be an inspiration for the modus-rei description, but this is uncertain. Oresme provided the first modern vernacular translations of Aristotle 's moral works that are still extant today. Between 1371 and 1377 he translated Aristotle's Ethics , Politics and Economics (the last of which

924-545: A doctor diagnoses a disease based on the observed symptoms. Logic also investigates incorrect forms of reasoning. They are called fallacies and are divided into formal and informal fallacies based on whether the source of the error lies only in the form of the argument or also in its content and context. Metaphysics is the study of the most general features of reality , such as existence, objects and their properties , wholes and their parts , space and time , events , and causation . There are disagreements about

1056-506: A given time. In virtue of this transposition, the theorem of the latitudo uniformiter difformis became the law of the space traversed in case of uniformly varied motion; thus Oresme published what was taught over two centuries prior to Galileo 's making it famous. Diagrams of the velocity of an accelerating object against time in On the Latitude of Forms by Oresme have been cited to credit Oresme with

1188-444: A great variety of methods to arrive at philosophical knowledge. They include conceptual analysis , reliance on common sense and intuitions , use of thought experiments , analysis of ordinary language , description of experience , and critical questioning . Philosophy is related to many other fields, including the sciences, mathematics , business , law , and journalism . It provides an interdisciplinary perspective and studies

1320-697: A metaphysical foundation of ethics. The modern period in Chinese philosophy began in the early 20th century and was shaped by the influence of and reactions to Western philosophy. The emergence of Chinese Marxism —which focused on class struggle , socialism , and communism —resulted in a significant transformation of the political landscape. Another development was the emergence of New Confucianism , which aims to modernize and rethink Confucian teachings to explore their compatibility with democratic ideals and modern science. Traditional Japanese philosophy assimilated and synthesized ideas from different traditions, including

1452-463: A noticeable growth in the number of female philosophers , but they still remained underrepresented. Arabic–Persian philosophy arose in the early 9th century CE as a response to discussions in the Islamic theological tradition . Its classical period lasted until the 12th century CE and was strongly influenced by ancient Greek philosophers. It employed their ideas to elaborate and interpret the teachings of

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1584-460: A part of intellectual history , but it also investigates questions not covered by intellectual history such as whether the theories of past philosophers are true and have remained philosophically relevant. The history of philosophy is primarily concerned with theories based on rational inquiry and argumentation; some historians understand it in a looser sense that includes myths , religious teachings , and proverbial lore. Influential traditions in

1716-603: A planet is direct or retrograde is of great significance. An eclipse of the Sun or Moon is even more significant. The South Node of the Moon denotes innate wisdom from past experience while the North Node denotes karma and evolution. Astrological Signs may be considered. For example, the fire signs of Aries , Leo and Sagittarius are more compatible with the air signs of Gemini , Libra and Aquarius . The Earth signs of Taurus , Virgo and Capricorn are more compatible with

1848-410: A quality, or accidental form, such as heat, he distinguished the intensio (the degree of heat at each point) and the extensio (as the length of the heated rod). These two terms were often replaced by latitudo and longitudo . For the sake of clarity, Oresme conceived the idea of visualizing these concepts by plane figures, approaching what we would now call rectangular coordinates . The intensity of

1980-467: A range of evidence for and against the daily rotation of the Earth on its axis. From astronomical considerations, he maintained that if the Earth were moving and not the celestial spheres , all the movements that we see in the heavens that are computed by the astronomers would appear exactly the same as if the spheres were rotating around the Earth. He rejected the physical argument that if the Earth were moving

2112-478: A relationship that can be oppositional or complementary. A Sextile (abbreviated as "SXt or Sex") is an angle of 60°, which is 1 ⁄ 6 of the 360° ecliptic or 1 ⁄ 2 a trine (120°). Depending on the involved planets, an orb of 4-5° is allowed. The symbol is the radii of a hexagon. Traditionally, a Sextile is said to be similar in influence to a Trine, but less intense. It indicates compatibility and harmony, which eases communication between

2244-426: A shift in perspective, clarity may reveal what was not previously seen. If a third planet, in a major aspect, triangulates a Qunicunx, the effect may be very obvious. For Quincunx, keywords are karmic, mystery, unpredictable, imbalance, surreal, resourceful, creative, and humor. A Quincunx does not offer equal divisions of a circle. It represents the 150° turn angles of a dodecagram , {12/5}. S A Septile

2376-475: A solution to a political problem as to how a monarch can be held accountable to put the common good before any private affairs. Though the monarchy rightfully has claims on all money given an emergency, Oresme states that any ruler that goes through this is a “Tyrant dominating slaves”. Oresme was one of the first medieval theorists that did not accept the right of the monarch to have claims on all money as well as “his subjects’ right to own private property.” Oresme

2508-612: A variety of arguments. Deductive arguments are mainly studied by formal logic. An argument is deductively valid if the truth of its premises ensures the truth of its conclusion. Deductively valid arguments follow a rule of inference , like modus ponens , which has the following logical form : " p ; if p then q ; therefore q ". An example is the argument "today is Sunday; if today is Sunday then I don't have to go to work today; therefore I don't have to go to work today". The premises of non-deductive arguments also support their conclusion, although this support does not guarantee that

2640-615: A wide area of philosophical subfields. A central topic in Arabic–Persian philosophy is the relation between reason and revelation . Indian philosophy combines the spiritual problem of how to reach enlightenment with the exploration of the nature of reality and the ways of arriving at knowledge. Chinese philosophy focuses principally on practical issues in relation to right social conduct, government, and self-cultivation . Major branches of philosophy are epistemology , ethics , logic , and metaphysics . Epistemology studies what knowledge

2772-687: Is 2° away from being an exact Square; a Square being a 90° aspect). The more exact an aspect, the stronger or more dominant it is said to be in shaping character or manifesting change. With Natal charts, other signs may take precedence over a Sun sign. For example, an Aries may have several other planets in Cancer or Pisces. Therefore, the two latter signs may be more influential. In medieval astrology, certain aspects and planets were considered to be either favorable ( benefic ) or unfavorable ( malefic ). Modern usage places less emphasis on these fatalistic distinctions. The more modern approach to astrological aspects

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2904-419: Is a 2n -tile, 1/(2 n ), and Sesqui-n-tile is a Tri-2 n -tile, 3/(2 n ). All aspects can be seen as small whole number harmonics , (1/ n of 360°). Multiples of m / n create new aspects where there are no common factors between n and m , gcd (n,m)=1. A Conjunction (abbreviated as "Con") is an angle of approximately (~) 0–⁠10°. Typically, an orb of ~10° is considered to be a Conjunction. If neither

3036-489: Is a combination of different parts and attempts to identify what those parts are. An influential theory in this area claims that knowledge has three components: it is a belief that is justified and true . This theory is controversial and the difficulties associated with it are known as the Gettier problem . Alternative views state that knowledge requires additional components, like the absence of luck; different components, like

3168-510: Is a common issue in relation to the sources of knowledge and the justification they offer. It is based on the idea that beliefs require some kind of reason or evidence to be justified. The problem is that the source of justification may itself be in need of another source of justification. This leads to an infinite regress or circular reasoning . Foundationalists avoid this conclusion by arguing that some sources can provide justification without requiring justification themselves. Another solution

3300-534: Is a rational and critical inquiry that reflects on its own methods and assumptions. Historically, many of the individual sciences , such as physics and psychology , formed part of philosophy. However, they are considered separate academic disciplines in the modern sense of the term. Influential traditions in the history of philosophy include Western , Arabic–Persian , Indian , and Chinese philosophy . Western philosophy originated in Ancient Greece and covers

3432-561: Is a set of essential features shared by all parts of philosophy. Others see only weaker family resemblances or contend that it is merely an empty blanket term. Precise definitions are often only accepted by theorists belonging to a certain philosophical movement and are revisionistic according to Søren Overgaard et al. in that many presumed parts of philosophy would not deserve the title "philosophy" if they were true. Some definitions characterize philosophy in relation to its method, like pure reasoning. Others focus on its topic, for example, as

3564-551: Is allowed. The symbol is 1 ⁄ 2 a Sextile (60°), which is the top radii of a hexagon; the internal angles are 60°. Of the minor aspects, it may be the most often used, because it can be easily seen. It indicates a mental interaction between planets; it is more sensually than externally experienced. With a Semisextile, energy gradually builds and potentiates. Consider other planets, Signs and Houses . A major aspect transit may be involved. To gain its benefit, make an effort. A Quincunx or Quinduodecile or Inconjunct

3696-467: Is also concerned with the moral evaluation of character traits and institutions. It explores what the standards of morality are and how to live a good life. Philosophical ethics addresses such basic questions as "Are moral obligations relative?"; "Which has priority: well-being or obligation?"; and "What gives life meaning?" The main branches of ethics are meta-ethics , normative ethics , and applied ethics . Meta-ethics asks abstract questions about

3828-521: Is an angle of 150°, which is 5 ⁄ 12 of the 360° ecliptic . Depending on the involved planets, an orb of ±3.5° is allowed. The symbol is the bottom radii of a hexagon, which is 1 ⁄ 2 a Sextile (60°) less than a semicircle; the internal angles are 60°. An interpretation of a Quincunx may mostly rely on the involved planets, Signs and Houses . Different areas of your life, that are not usually in communication, may come together. Planets may be far apart in different house quadrants. With

3960-416: Is an angle of about 51.43°, which is 1 ⁄ 7 of the 360° ecliptic . An orb of ±1° is allowed. A Septile is a mystical aspect that indicates a hidden flow of energy between the involved planets. Often, it involves spiritual or energetic sensitivity as well as an inner awareness of a more subtle, hidden level of reality. An Octile or Semisquare is an angle of 45°, which is 1 ⁄ 8 of

4092-479: Is an expression of the philosopher's love of wisdom and has the aim of improving one's well-being by leading a reflective life. For example, the Stoics saw philosophy as an exercise to train the mind and thereby achieve eudaimonia and flourish in life. As a discipline, the history of philosophy aims to provide a systematic and chronological exposition of philosophical concepts and doctrines. Some theorists see it as

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4224-666: Is and how to acquire it. Ethics investigates moral principles and what constitutes right conduct. Logic is the study of correct reasoning and explores how good arguments can be distinguished from bad ones. Metaphysics examines the most general features of reality , existence, objects , and properties . Other subfields are aesthetics , philosophy of language , philosophy of mind , philosophy of religion , philosophy of science , philosophy of mathematics , philosophy of history , and political philosophy . Within each branch, there are competing schools of philosophy that promote different principles, theories, or methods. Philosophers use

4356-423: Is attributed to an object, but that an object is “set into” motion, rather than “given” motion, denying a distinction between a motionless object and an object in motion. To Oresme, an object moves, but it is not a moving object. Once an object begins movement through the three dimensions it has a new “modus rei” or “way of being,” which should only be described through the perspective of the moving object, rather than

4488-472: Is attributed to the beginning of a new cycle, which may occur after all four Trigons have been visited, which occurs in ~900 years. Typically, medieval astrologers used 960 years as the length of the full cycle, because, in some cases, it took 240 years to pass from one trigon to the next. If a cycle is defined by when the Conjunctions return to the same right ascension rather than to the same constellation,

4620-451: Is closely related to the disciplines of logic and linguistics. The philosophy of language rose to particular prominence in the early 20th century in analytic philosophy due to the works of Frege and Russell. One of its central topics is to understand how sentences get their meaning. There are two broad theoretical camps: those emphasizing the formal truth conditions of sentences and those investigating circumstances that determine when it

4752-408: Is concerned with meaning , understanding , or the clarification of language. According to one view, philosophy is conceptual analysis , which involves finding the necessary and sufficient conditions for the application of concepts. Another definition characterizes philosophy as thinking about thinking to emphasize its self-critical, reflective nature. A further approach presents philosophy as

4884-400: Is exemplified by research on astrological harmonics. In 1619, Johannes Kepler advocates this in his book Harmonice Mundi . Thereafter, John Addey was a major proponent. However, even in modern times, aspects are considered to be either easy (60° Sextile or 120° Trine ) or hard (90° Square or 180° Opposition ). Depending on the involved planets, a Conjunction (0°, which is

5016-456: Is itself a borrowing from the Latin philosophia . The term philosophy acquired the meanings of "advanced study of the speculative subjects ( logic , ethics , physics , and metaphysics )", "deep wisdom consisting of love of truth and virtuous living", "profound learning as transmitted by the ancient writers", and "the study of the fundamental nature of knowledge , reality , and existence , and

5148-488: Is nowadays considered to be pseudo-Aristotelian) into Middle French . He also extensively commented on these texts, thereby expressing some of his political views. Like his predecessors Albert the Great , Thomas Aquinas and Peter of Auvergne (and quite unlike Aristotle), Oresme favours monarchy as the best form of government . His criterion for good government is the common good . A king (by definition good) takes care of

5280-500: Is predetermined by the heavenly bodies, because humans have free will , but he accepts that the heavenly bodies can influence behaviour and habitual mood, via the combination of humours in each person. Overall, Oresme's skepticism is strongly shaped by his understanding of the scope of astrology. He accepts things a modern skeptic would reject, and rejects some things — such as the knowability of planetary movements, and effects on weather — that are accepted by modern science. In discussing

5412-475: Is presented by coherentists , who state that a belief is justified if it coheres with other beliefs of the person. Many discussions in epistemology touch on the topic of philosophical skepticism , which raises doubts about some or all claims to knowledge. These doubts are often based on the idea that knowledge requires absolute certainty and that humans are unable to acquire it. Ethics, also known as moral philosophy, studies what constitutes right conduct . It

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5544-418: Is sometimes understood as a proper science in its own right. According to some naturalistic philosophers , such as W. V. O. Quine , philosophy is an empirical yet abstract science that is concerned with wide-ranging empirical patterns instead of particular observations. Science-based definitions usually face the problem of explaining why philosophy in its long history has not progressed to the same extent or in

5676-451: Is suitable to use a sentence, the latter of which is associated with speech act theory . Astrological aspect For example, if an astrologer creates a Horoscope that shows the apparent positions of the celestial bodies at the time of a person's birth ( Natal Chart ), and the angular distance between Mars and Venus is 92° ecliptic longitude, the chart is said to have the aspect "Venus Square Mars" with an orb of 2° (i.e., it

5808-439: Is that actions are in tune with those duties and not what consequences they have. Virtue theorists judge actions based on how the moral character of the agent is expressed. According to this view, actions should conform to what an ideally virtuous agent would do by manifesting virtues like generosity and honesty . Logic is the study of correct reasoning . It aims to understand how to distinguish good from bad arguments . It

5940-468: Is the 1687 book Philosophiæ Naturalis Principia Mathematica by Isaac Newton . This book referred to natural philosophy in its title, but it is today considered a book of physics. The meaning of philosophy changed toward the end of the modern period when it acquired the more narrow meaning common today. In this new sense, the term is mainly associated with philosophical disciplines like metaphysics, epistemology, and ethics. Among other topics, it covers

6072-462: Is truth established?"; and "Can we prove causal relations?" Epistemology is primarily interested in declarative knowledge or knowledge of facts, like knowing that Princess Diana died in 1997. But it also investigates practical knowledge , such as knowing how to ride a bicycle, and knowledge by acquaintance , for example, knowing a celebrity personally. One area in epistemology is the analysis of knowledge . It assumes that declarative knowledge

6204-456: Is usually divided into formal and informal logic . Formal logic uses artificial languages with a precise symbolic representation to investigate arguments. In its search for exact criteria, it examines the structure of arguments to determine whether they are correct or incorrect. Informal logic uses non-formal criteria and standards to assess the correctness of arguments. It relies on additional factors such as content and context. Logic examines

6336-556: Is whether beauty is an objective feature of entities or a subjective aspect of experience. Aesthetic philosophers also investigate the nature of aesthetic experiences and judgments . Further topics include the essence of works of art and the processes involved in creating them. The philosophy of language studies the nature and function of language . It examines the concepts of meaning , reference , and truth. It aims to answer questions such as how words are related to things and how language affects human thought and understanding. It

6468-567: The French king as sacred , as promoted by Évrart de Trémaugon in his Songe du vergier or Jean Golein in his Traité du sacre . Although he heavily criticises the Church as corrupt, tyrannical and oligarchical, he never fundamentally questions its necessity for the spiritual well-being of the faithful. It has traditionally been thought that Oresme's Aristotelian translations had a major influence on King Charles V's politics: Charles' laws concerning

6600-523: The Quran . Al-Kindi (801–873 CE) is usually regarded as the first philosopher of this tradition. He translated and interpreted many works of Aristotle and Neoplatonists in his attempt to show that there is a harmony between reason and faith . Avicenna (980–1037 CE) also followed this goal and developed a comprehensive philosophical system to provide a rational understanding of reality encompassing science, religion, and mysticism. Al-Ghazali (1058–1111 CE)

6732-478: The Sun or Moon are involved, some astrologers consider a maximum orb of 8°. Conjunctions are a major aspect in a horoscope chart. They are said to be the most powerful aspects, because they mutually intensify the effects of the involved planets. Depending on the involved planets, a Conjunction may be beneficial or detrimental. Highly favourable Conjunctions may involve the Sun, Venus , and/or Jupiter as well as any of

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6864-649: The University of Paris , makes it probable that he came from a peasant family. Oresme studied the "arts" in Paris , together with Jean Buridan (the so-called founder of the French school of natural philosophy), Albert of Saxony and perhaps Marsilius of Inghen , and there received the Magister Artium . He was already a regent master in arts by 1342, during the crisis over William of Ockham 's natural philosophy . In 1348, he

6996-437: The humours , the four Aristotelian fluids of the body. Oresme criticizes all of these as misdirected, though he accepts that prediction is a legitimate area of study, and argues that the effect on the weather is less well known than the effect on great events. He observes that sailors and farmers are better at predicting weather than astrologers, and specifically attacks the astrological basis of prediction, noting correctly that

7128-433: The integral test ), begins by noting that for any n that is a power of 2 , there are n /2 − 1 terms in the series between 1/( n /2) and 1/ n . Each of these terms is at least 1/ n , and since there are n /2 of them they sum to at least 1/2. For instance, there is one term 1/2, then two terms 1/3 + 1/4 that together sum to at least 1/2, then four terms 1/5 + 1/6 + 1/7 + 1/8 that also sum to at least 1/2, and so on. Thus

7260-453: The line of succession and the possibility of a regency for an underage king have been accredited to Oresme, as has the election of several high-ranking officials by the king's council in the early 1370s. Oresme may have conveyed Marsilian and conciliarist thought to Jean Gerson and Christine de Pizan . With his Treatise on the origin, nature, law, and alterations of money ( De origine, natura, jure et mutationibus monetarum ), one of

7392-477: The zodiac has moved relative to the fixed stars (because of precession of the equinoxes ) since the zodiac was first described in ancient times. These first three parts are what Oresme considers the physical influences of the stars and planets (including sun and moon) on the earth, and while he offers critiques of them, he accepts that effects exist. The last three parts are what Oresme considers to concern (good or bad) fortune. They are interrogations, meaning asking

7524-420: The "things themselves", that is, as originally given in experience. They contend that this base-level of experience provides the foundation for higher-order theoretical knowledge, and that one needs to understand the former to understand the latter. An early approach found in ancient Greek and Roman philosophy is that philosophy is the spiritual practice of developing one's rational capacities. This practice

7656-411: The 360° ecliptic . An orb of ±3° is allowed. The symbol is drawn with a 60-90° angle; the original angle is 90°, which is 1 ⁄ 2 a Square. An Octile is an important minor aspect. It indicates stimulating or challenging energy. It is similar to a Square, but doesn't last as long as it has a smaller orb. A Sesquiquadrate or Trioctile is an angle of 135°, which is 3 ⁄ 8 of

7788-412: The 5th century CE. Its focus was on religious topics and many thinkers used ancient philosophy to explain and further elaborate Christian doctrines . The Renaissance period started in the 14th century and saw a renewed interest in schools of ancient philosophy, in particular Platonism . Humanism also emerged in this period. The modern period started in the 17th century. One of its central concerns

7920-503: The Conjunction (0°), Sextile (60°), Square (90°), Trine (120°), and Opposition (180°). Major aspects are those that are divisible by 10 and evenly divided in relation to 360° (with the exception of the Semisextile and the Novile). When calculating or using aspects, it is important to note that different astrologers and separate astrological systems/traditions utilize differing orbs , which is

8052-472: The air would be left behind causing a great wind from east to west. In his view the Earth , Water , and Air would all share the same motion. As to the scriptural passage that speaks of the motion of the Sun, he concludes that "this passage conforms to the customary usage of popular speech" and is not to be taken literally. He also noted that it would be more economical for the small Earth to rotate on its axis than

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8184-405: The analysis of local motion where the latitudo or intensity represented the speed, the longitudo represented the time, and the area of the figure represented the distance travelled. He shows that his method of figuring the latitude of forms is applicable to the movement of a point, on condition that the time is taken as longitude and the speed as latitude; quantity is, then, the space covered in

8316-442: The basic limits of human understanding". Before the modern age, the term philosophy was used in a wide sense. It included most forms of rational inquiry, such as the individual sciences , as its subdisciplines. For instance, natural philosophy was a major branch of philosophy. This branch of philosophy encompassed a wide range of fields, including disciplines like physics, chemistry , and biology . An example of this usage

8448-436: The beginning of the 20th century. It discusses topics such as ethnophilosophy , négritude , pan-Africanism , Marxism, postcolonialism , the role of cultural identity, relativism , African epistemology , and the critique of Eurocentrism . Philosophical questions can be grouped into several branches. These groupings allow philosophers to focus on a set of similar topics and interact with other thinkers who are interested in

8580-560: The color red, can exist at different locations at the same time. This is not the case for particulars including individual persons or specific objects. Other metaphysical questions are whether the past fully determines the present and what implications this would have for the existence of free will . There are many other subfields of philosophy besides its core branches. Some of the most prominent are aesthetics, philosophy of language, philosophy of mind, philosophy of religion, philosophy of science, and political philosophy. Aesthetics in

8712-462: The common good, whereas a tyrant works for his own profit. A monarch can ensure the stability and durability of his reign by letting the people participate in government . This has rather confusingly and anachronistically been called popular sovereignty . Like Albert the Great, Thomas Aquinas, Peter of Auvergne and especially Marsilius of Padua , whom he occasionally quotes, Oresme conceives of this popular participation as rather restrictive: only

8844-461: The conclusion is true. One form is inductive reasoning . It starts from a set of individual cases and uses generalization to arrive at a universal law governing all cases. An example is the inference that "all ravens are black" based on observations of many individual black ravens. Another form is abductive reasoning . It starts from an observation and concludes that the best explanation of this observation must be true. This happens, for example, when

8976-614: The consequences of the general theories developed by normative ethics in specific situations, for example, in the workplace or for medical treatments. Within contemporary normative ethics, consequentialism, deontology , and virtue ethics are influential schools of thought. Consequentialists judge actions based on their consequences. One such view is utilitarianism , which argues that actions should increase overall happiness while minimizing suffering. Deontologists judge actions based on whether they follow moral duties, such as abstaining from lying or killing. According to them, what matters

9108-475: The cycle is only ~800 years, because of axial precession . Use of the Alphonsine tables apparently led to the use of precessing signs; Kepler gave a value of 794 years, which created 40 Conjunctions. Up to the end of the 16th century, despite the inaccuracies and some disagreement about the beginning of the cycle, the belief in the significance of such events generated a steady stream of publications. In 1583,

9240-706: The degree of separation between exactitude. Orbs may also be subject to variation, depending on the need for detail and personal preferences. Although, when compared to other aspects, almost all astrologers use a larger orb for a Conjunction. Collective astrological data along with Johannes Kepler described 13 aspects in his book Harmonice Mundi . Astrological data grouped together in five degrees of influentially picked from symbol ratios encountered in geometry and music: 0/2, 1/2, 1/5, 2/6, 1/3, 1/12 along with 1/5, 2/5, 15/5, 10, 10/3, 8, and 8/3. The general names for whole divisors are ( Latin ) n -ile for whole fractions 1/ n , and m - n -ile for fraction m / n . A Semi- n -tile

9372-512: The discovery of "proto bar charts". In De configurationibus Oresme introduces the concept of curvature as a measure of departure from straightness, for circles he has the curvature as being inversely proportional to radius and attempts to extend this to other curves as a continuously varying magnitude. Significantly, Oresme developed the first proof of the divergence of the harmonic series . His proof, requiring less advanced mathematics than current standard tests for divergence (for example,

9504-473: The earliest manuscripts devoted to an economic matter, Oresme brings an interesting insight on the medieval conception of money. Oresme's viewpoints of theoretical architecture are outlined in Part 3 and 4 of his work from De moneta, which he completed between 1356 and 1360. His belief is that humans have a natural right to own property; this property belongs to the individual and community. In Part 4, Oresme provides

9636-400: The emergence and application of formal logic , the focus on the role of language as well as pragmatism , and movements in continental philosophy like phenomenology, existentialism , and post-structuralism . The 20th century saw a rapid expansion of academic philosophy in terms of the number of philosophical publications and philosophers working at academic institutions . There was also

9768-478: The emergence of non-Vedic teachings, like Buddhism and Jainism . Buddhism was founded by Gautama Siddhartha (563–483 BCE), who challenged the Vedic idea of a permanent self and proposed a path to liberate oneself from suffering . Jainism was founded by Mahavira (599–527 BCE), who emphasized non-violence as well as respect toward all forms of life. The subsequent classical period started roughly 200 BCE and

9900-407: The features that all entities have in common. Specific metaphysics is interested in different kinds of being, the features they have, and how they differ from one another. An important area in metaphysics is ontology . Some theorists identify it with general metaphysics. Ontology investigates concepts like being , becoming , and reality. It studies the categories of being and asks what exists on

10032-486: The field for a long period after him, under the name of mercantilism, and more just than those which allowed of the reduction of money as if it were nothing more than a counter of exchange.' 'Oresme's treatise on money,' says Macleod , 'may be justly said to stand at the head of modern economic literature. This treatise laid the foundations of monetary science, which are now accepted by all sound economists.' 'Oresme's completely secular and naturalistic method of treating one of

10164-445: The following Triplicities or Trigons of Zodiac signs: After about 220 years the pattern shifts to the next Trigon; in ~900 years, the pattern returns to the first Trigon. To each triangular pattern, astrologers have ascribed one from a series of four elements . Particular importance has been accorded to the occurrence of a Great Conjunction in a new Trigon, which is bound to happen after ~240 years at most. Greater importance

10296-496: The heart" (of the Sun). For example, "Venus Cazimi " means Venus is in Conjunction with the Sun with an orb of less than ~⁠0.28°. If a planet is moderately close to the Sun, the specific orb limit may depend on the particular planet. It is said to be Combust . ⁠ Every month of the year, during the New Moon , the Sun and Moon experience a Conjunction. In the past, Great Conjunctions between

10428-471: The history of philosophy include Western , Arabic–Persian , Indian , and Chinese philosophy . Other philosophical traditions are Japanese philosophy , Latin American philosophy , and African philosophy . Western philosophy originated in Ancient Greece in the 6th century BCE with the pre-Socratics . They attempted to provide rational explanations of the cosmos as a whole. The philosophy following them

10560-450: The immense sphere of the stars. Nonetheless, he concluded that none of these arguments were conclusive and "everyone maintains, and I think myself, that the heavens do move and not the Earth." In his mathematical work, Oresme developed the notion of incommensurate fractions, fractions that could not be expressed as powers of one another, and made probabilistic, statistical arguments as to their relative frequency. From this, he argued that it

10692-420: The importance of a strong state and strict laws. Buddhism was introduced to China in the 1st century CE and diversified into new forms of Buddhism . Starting in the 3rd century CE, the school of Xuanxue emerged. It interpreted earlier Daoist works with a specific emphasis on metaphysical explanations. Neo-Confucianism developed in the 11th century CE. It systematized previous Confucian teachings and sought

10824-419: The indigenous Shinto religion and Chinese and Indian thought in the forms of Confucianism and Buddhism, both of which entered Japan in the 6th and 7th centuries. Its practice is characterized by active interaction with reality rather than disengaged examination. Neo-Confucianism became an influential school of thought in the 16th century and the following Edo period and prompted a greater focus on language and

10956-429: The inner or inferior planet. A Square creates a strong and usable tension. It may integrate between two different areas of your life or it may offer a turning point where an important decision needs to be made that involves an opportunity at a cost. Typically, it involves Houses in different quadrants . A Trine (abbreviated as "Tri") is an angle of 120°, which is 1 ⁄ 3 of the 360° ecliptic . Depending on

11088-599: The interconnectedness of all things. Latin American philosophy during the colonial period , starting around 1550, was dominated by religious philosophy in the form of scholasticism . Influential topics in the post-colonial period were positivism , the philosophy of liberation , and the exploration of identity and culture. Early African philosophy was primarily conducted and transmitted orally. It focused on community, morality, and ancestral ideas, encompassing folklore, wise sayings, religious ideas, and philosophical concepts like Ubuntu . Systematic African philosophy emerged at

11220-498: The involved planets, an orb of 5-10° is allowed. An Opposition is said by Ibn Ezra to be the most powerful aspect. An opposition is fundamentally relational but not unifying or blending like a conjunction. Some astrologers say the energies in opposition are prone to exaggeration, because it has a dichotomous quality and issues arising from it are often tense. All important axes in astrology are essentially Oppositions. Therefore, at its most basic level, an Opposition may often signify

11352-421: The involved planets, an orb of 5-10° is allowed. Traditionally, a Trine is extremely beneficial. It indicates harmony, ease and what is natural. A Trine may involve innate talent or ability. In transit , an event may emerge from a current or past situation in a natural way. [REDACTED] A Semisextile or Duodecile is an angle of 30°, which is 1 ⁄ 12 of the 360° ecliptic . An orb of ±1.2°

11484-414: The last Great Conjunction occurred in the watery trigon. It was widely supposed to herald apocalyptic changes. In 1586, a Papal Bull was issued against divinations. By 1603, public interest rapidly died, because nothing really significant had happened with the advent of a new Trigon. An Opposition (abbreviated as "Opp") is an angle of 180°, which is 1 ⁄ 2 of the 360° ecliptic . Depending on

11616-456: The longitude, and any other quality as difform. Uniformly varying qualities are represented by a straight line inclined to the axis of the longitude, while he described many cases of nonuniformly varying qualities. Oresme extended this doctrine to figures of three dimensions. He considered this analysis applicable to many different qualities such as hotness, whiteness, and sweetness. Significantly for later developments, Oresme applied this concept to

11748-551: The manifestation of cognitive virtues instead of justification; or they deny that knowledge can be analyzed in terms of other phenomena. Another area in epistemology asks how people acquire knowledge. Often-discussed sources of knowledge are perception , introspection , memory , inference , and testimony . According to empiricists , all knowledge is based on some form of experience. Rationalists reject this view and hold that some forms of knowledge, like innate knowledge , are not acquired through experience. The regress problem

11880-596: The most fundamental level. Another subfield of metaphysics is philosophical cosmology . It is interested in the essence of the world as a whole. It asks questions including whether the universe has a beginning and an end and whether it was created by something else. A key topic in metaphysics concerns the question of whether reality only consists of physical things like matter and energy. Alternative suggestions are that mental entities (such as souls and experiences ) and abstract entities (such as numbers) exist apart from physical things. Another topic in metaphysics concerns

12012-526: The most important problems of political economy,' says Espinas , 'is a signal of the approaching end of the Middle Ages and the dawn of the Renaissance.' Dr. Cunningham adds his tribute of praise: 'The conceptions of national wealth and national power were ruling ideas in economic matters for several centuries, and Oresme appears to be the earliest of the economic writers by whom they were explicitly adopted as

12144-404: The most influential philosophers of the subsequent period. The increasing influence of Western thought and institutions in the 19th and 20th centuries gave rise to the intellectual movement of Islamic modernism , which aims to understand the relation between traditional Islamic beliefs and modernity. One of the distinguishing features of Indian philosophy is that it integrates the exploration of

12276-442: The most original thinkers of 14th-century Europe. Nicole Oresme was born c.  1320–1325 in the village of Allemagnes (today's Fleury-sur-Orne ) in the vicinity of Caen , Normandy , in the diocese of Bayeux . Practically nothing is known concerning his family. The fact that Oresme attended the royally sponsored and subsidised College of Navarre , an institution for students too poor to pay their expenses while studying at

12408-766: The movements of heavenly bodies, he considers good science but not precisely knowable. The second part deals with the influences of the heavenly bodies on earthly events at all scales. Oresme does not deny such influence, but states, in line with a commonly held opinion, that it could either be that arrangements of heavenly bodies signify events, purely symbolically , or that they actually cause such events, deterministically. Mediaevalist Chauncey Wood remarks that this major elision "makes it very difficult to determine who believed what about astrology". The third part concerns predictiveness, covering events at three different scales: great events such as plagues, famines, floods and wars; weather, winds and storms; and medicine, with influences on

12540-621: The multitude of reasonable, wise and virtuous men should be allowed political participation by electing and correcting the prince, changing the law and passing judgement. Oresme, however, categorically denies the right of rebellion since it endangers the common good. Unlike earlier commentators, however, Oresme prescribes the law as superior to the king's will. It must only be changed in cases of extreme necessity. Oresme favours moderate kingship, thereby negating contemporary absolutist thought, usually promoted by adherents of Roman law . Furthermore, Oresme doesn't comply to contemporary conceptions of

12672-472: The natural and social sciences, religion, and mathematics. Epistemology is the branch of philosophy that studies knowledge. It is also known as theory of knowledge and aims to understand what knowledge is, how it arises, what its limits are, and what value it has. It further examines the nature of truth , belief , justification , and rationality . Some of the questions addressed by epistemologists include "By what method(s) can one acquire knowledge?"; "How

12804-504: The natural world. The Kyoto School emerged in the 20th century and integrated Eastern spirituality with Western philosophy in its exploration of concepts like absolute nothingness ( zettai-mu ), place ( basho ), and the self . Latin American philosophy in the pre-colonial period was practiced by indigenous civilizations and explored questions concerning the nature of reality and the role of humans. It has similarities to indigenous North American philosophy , which covered themes such as

12936-455: The nature and sources of morality. It analyzes the meaning of ethical concepts, like right action and obligation . It also investigates whether ethical theories can be true in an absolute sense and how to acquire knowledge of them. Normative ethics encompasses general theories of how to distinguish between right and wrong conduct. It helps guide moral decisions by examining what moral obligations and rights people have. Applied ethics studies

13068-467: The nature of reality, the ways of arriving at knowledge, and the spiritual question of how to reach enlightenment . It started around 900 BCE when the Vedas were written. They are the foundational scriptures of Hinduism and contemplate issues concerning the relation between the self and ultimate reality as well as the question of how souls are reborn based on their past actions . This period also saw

13200-436: The philosophical sense is the field that studies the nature and appreciation of beauty and other aesthetic properties, like the sublime . Although it is often treated together with the philosophy of art , aesthetics is a broader category that encompasses other aspects of experience, such as natural beauty. In a more general sense, aesthetics is "critical reflection on art, culture, and nature ". A key question in aesthetics

13332-417: The precise definition of the term and its meaning has changed throughout the ages. Metaphysicians attempt to answer basic questions including " Why is there something rather than nothing? "; "Of what does reality ultimately consist?"; and "Are humans free?" Metaphysics is sometimes divided into general metaphysics and specific or special metaphysics. General metaphysics investigates being as such. It examines

13464-400: The problem of identity . One question is how much an entity can change while still remaining the same entity. According to one view, entities have essential and accidental features . They can change their accidental features but they cease to be the same entity if they lose an essential feature. A central distinction in metaphysics is between particulars and universals . Universals, like

13596-528: The propagation of light and sound, Oresme adopted the common medieval doctrine of the multiplication of species, as it had been developed by optical writers such as Alhacen , Robert Grosseteste , Roger Bacon , John Pecham , and Witelo . Oresme maintained that these species were immaterial, but corporeal (i.e., three-dimensional) entities. Oresme's most important contributions to mathematics are contained in Tractatus de configurationibus qualitatum et motuum . In

13728-428: The provocative, vexing, and enduring problems central to the human condition. The philosophical pursuit of wisdom involves asking general and fundamental questions. It often does not result in straightforward answers but may help a person to better understand the topic, examine their life, dispel confusion, and overcome prejudices and self-deceptive ideas associated with common sense. For example, Socrates stated that "

13860-407: The quality was represented by a length or latitudo proportional to the intensity erected perpendicular to the base at a given point on the base line, which represents the longitudo . Oresme proposed that the geometrical form of such a figure could be regarded as corresponding to a characteristic of the quality itself. Oresme defined a uniform quality as that which is represented by a line parallel to

13992-436: The rational study of reality, knowledge, and values. It is distinguished from other disciplines of rational inquiry such as the empirical sciences and mathematics . The practice of philosophy is characterized by several general features: it is a form of rational inquiry, it aims to be systematic, and it tends to critically reflect on its own methods and presuppositions. It requires attentively thinking long and carefully about

14124-488: The same questions. Epistemology, ethics, logic, and metaphysics are sometimes listed as the main branches. There are many other subfields besides them and the different divisions are neither exhaustive nor mutually exclusive. For example, political philosophy, ethics, and aesthetics are sometimes linked under the general heading of value theory as they investigate normative or evaluative aspects. Furthermore, philosophical inquiry sometimes overlaps with other disciplines in

14256-410: The same way as the sciences. This problem is avoided by seeing philosophy as an immature or provisional science whose subdisciplines cease to be philosophy once they have fully developed. In this sense, philosophy is sometimes described as "the midwife of the sciences". Other definitions focus on the contrast between science and philosophy. A common theme among many such conceptions is that philosophy

14388-613: The scope and fundamental concepts of these fields. It also investigates their methods and ethical implications. The word philosophy comes from the Ancient Greek words φίλος ( philos ) ' love ' and σοφία ( sophia ) ' wisdom ' . Some sources say that the term was coined by the pre-Socratic philosopher Pythagoras , but this is not certain. The word entered the English language primarily from Old French and Anglo-Norman starting around 1175 CE. The French philosophie

14520-440: The series must be greater than the series 1 + 1/2 + 1/2 + 1/2 + ..., which does not have a finite limit. This proves that the harmonic series must be divergent. This argument shows that the sum of the first n terms grows at least as fast as ( 1 / 2 ) log 2 ⁡ n {\displaystyle (1/2)\log _{2}n} . (See also Harmonic series ) Oresme

14652-404: The stars when to do things such as business deals; elections, meaning choosing the best time to do things such as getting married or fighting a war and nativities, meaning the natal astrology with birth charts that forms much of modern astrological practice. Oresme classifies interrogations and elections as "totally false" arts, but his critique of nativities is more measured. He denies that any path

14784-598: The study of the biggest patterns of the world as a whole or as the attempt to answer the big questions. Such an approach is pursued by Immanuel Kant , who holds that the task of philosophy is united by four questions: "What can I know?"; "What should I do?"; "What may I hope?"; and "What is the human being?" Both approaches have the problem that they are usually either too wide, by including non-philosophical disciplines, or too narrow, by excluding some philosophical sub-disciplines. Many definitions of philosophy emphasize its intimate relation to science. In this sense, philosophy

14916-469: The teachings of Advaita Vedanta to argue that all the different religions are valid paths toward the one divine. Chinese philosophy is particularly interested in practical questions associated with right social conduct, government, and self-cultivation . Many schools of thought emerged in the 6th century BCE in competing attempts to resolve the political turbulence of that period. The most prominent among them were Confucianism and Daoism . Confucianism

15048-404: The test of the principles applied in the nineteenth century, and that with a brevity, a precision, a clarity, and a simplicity of language which is a striking proof of the superior genius of its author.' According to Brants , 'the treatise of Oresme is one of the first to be devoted ex professo to an economic subject, and it expresses many ideas which are very just, more just than those which held

15180-537: The theories of forma fluens and fluxus formae , Oresme would suggest his own descriptions for change and motion in his commentary of Physics . Forma fluens is described by William of Ockham as "Every thing that is moved is moved by a mover," and fluxus formae as "Every motion is produced by a mover." Buridan and Albert of Saxony each subscribed to the classic interpretation of flux being an innate part of an object, but Oresme differs from his contemporaries in this aspect. Oresme agrees with fluxus formae in that motion

15312-475: The three possible combinations. Highly un favourable Conjunctions may involve the Moon, Mars , and/or Saturn as well as any of the three possible combinations. Exceptionally, on November 9–10 of 1970, the Sun , Venus , and Jupiter were in a three-way beneficial Conjunction. In that same year, on March 10, the Moon , Mars , and Saturn were in 3-way detrimental Conjunction. If either of two planets involved in

15444-445: The times of Tycho Brahe and Kepler . Every 20 years, successive Great Conjunctions move retrograde ~120°. Sequential Conjunctions appear as triangular patterns. They repeat after every third Conjunction; they return after some 60 years to the vicinity of the first. These returns are observed to be shifted by ~8° relative to the fixed stars; no more than four of them occur in the same zodiac sign. Typically, Conjunctions occur in one of

15576-485: The two involved elements. It also provides opportunity. See information below on the Semisextile . A Square or Quartile (abbreviated as "SQr or Squ") is an angle of 90°, which is 1 ⁄ 4 of the 360° ecliptic or 1 ⁄ 2 an opposition (180°). Depending on the involved planets, an orb of 5-10° is allowed. Typically, with a Square, Trine or Sextile, the outer or superior planet has an effect on

15708-663: The two slowest classical planets, Jupiter and Saturn , have attracted considerable attention as celestial omens. This interest can be traced back to Arabic translations found in Europe; most notably Albumasar 's book on Conjunctions. During the late Middle Ages and the Renaissance , these omens were a topic broached by most astronomers. This included scholastic thinkers, such as Roger Bacon and Pierre D'Ailly . Omens are also mentioned in popular literary writings by authors, such as Dante and Shakespeare . This interest continued up to

15840-601: The unexamined life is not worth living " to highlight the role of philosophical inquiry in understanding one's own existence. And according to Bertrand Russell , "the man who has no tincture of philosophy goes through life imprisoned in the prejudices derived from common sense, from the habitual beliefs of his age or his nation, and from convictions which have grown up in his mind without the cooperation or consent of his deliberate reason." Attempts to provide more precise definitions of philosophy are controversial and are studied in metaphilosophy . Some approaches argue that there

15972-499: The very basis of his argument…. A large number of points of economic doctrine in regard to coinage are discussed with much judgment and clearness.' Endemann alone is inclined to quarrel with the pre-eminence of Oresme; but on this question, he is in a minority of one. Philosopher Philosophy ('love of wisdom' in Ancient Greek ) is a systematic study of general and fundamental questions concerning topics like existence , reason , knowledge , value , mind , and language . It

16104-483: The water signs of Cancer , Scorpio and Pisces . The mutable signs of Gemini, Virgo, Sagittarius and Pisces may be flexible. The cardinal signs of Aries, Cancer, Libra and Capricorn may change their mind. The fixed signs of Taurus, Leo, Scorpio and Aquarius may be difficult. Astrological Houses may be considered. Since they were defined and used by Ptolemy in the 1st Century AD, the traditional major aspects are sometimes called Ptolemaic Aspects . These aspects are

16236-468: Was a strong critic of the idea that reason can arrive at a true understanding of reality and God. He formulated a detailed critique of philosophy and tried to assign philosophy a more limited place besides the teachings of the Quran and mystical insight. Following Al-Ghazali and the end of the classical period, the influence of philosophical inquiry waned. Mulla Sadra (1571–1636 CE) is often regarded as one of

16368-717: Was a student of theology in Paris. In 1356, he received his doctorate and in the same year he became grand master ( grand-maître ) of the College of Navarre . In 1364, he was appointed dean of the Cathedral of Rouen . Around 1369, he began a series of translations of Aristotelian works at the request of Charles V , who granted him a pension in 1371 and, with royal support, was appointed bishop of Lisieux in 1377. In 1382, he died in Lisieux. In his Livre du ciel et du monde Oresme discussed

16500-437: Was characterized by the emergence of the six orthodox schools of Hinduism : Nyāyá , Vaiśeṣika , Sāṃkhya , Yoga , Mīmāṃsā , and Vedanta . The school of Advaita Vedanta developed later in this period. It was systematized by Adi Shankara ( c.  700 –750 CE), who held that everything is one and that the impression of a universe consisting of many distinct entities is an illusion . A slightly different perspective

16632-656: Was defended by Ramanuja (1017–1137 CE), who founded the school of Vishishtadvaita Vedanta and argued that individual entities are real as aspects or parts of the underlying unity. He also helped to popularize the Bhakti movement , which taught devotion toward the divine as a spiritual path and lasted until the 17th to 18th centuries CE. The modern period began roughly 1800 CE and was shaped by encounters with Western thought. Philosophers tried to formulate comprehensive systems to harmonize diverse philosophical and religious teachings. For example, Swami Vivekananda (1863–1902 CE) used

16764-508: Was founded by Confucius (551–479 BCE). It focused on different forms of moral virtues and explored how they lead to harmony in society. Daoism was founded by Laozi (6th century BCE) and examined how humans can live in harmony with nature by following the Dao or the natural order of the universe. Other influential early schools of thought were Mohism , which developed an early form of altruistic consequentialism , and Legalism , which emphasized

16896-505: Was how philosophical and scientific knowledge are created. Specific importance was given to the role of reason and sensory experience . Many of these innovations were used in the Enlightenment movement to challenge traditional authorities. Several attempts to develop comprehensive systems of philosophy were made in the 19th century, for instance, by German idealism and Marxism . Influential developments in 20th-century philosophy were

17028-606: Was known to be a well rounded psychologist. He practiced the technique of “inner senses” and studied the perception of the world. Oresme contributed to 19th and 20th century psychology in the fields of cognitive psychology, perception psychology, psychology of consciousness, and psychophysics. Oresme discovered the psychology of unconscious and came up with the theory of unconscious conclusion of perception. He developed many ideas beyond quality, quantity, categories and terms which were labeled “theory of cognition”. Oresme's economic thought remained well regarded centuries after his death. In

17160-449: Was shaped by Socrates (469–399 BCE), Plato (427–347 BCE), and Aristotle (384–322 BCE). They expanded the range of topics to questions like how people should act , how to arrive at knowledge , and what the nature of reality and mind is. The later part of the ancient period was marked by the emergence of philosophical movements, for example, Epicureanism , Stoicism , Skepticism , and Neoplatonism . The medieval period started in

17292-535: Was the first mathematician to prove this fact, and (after his proof was lost) it was not proven again until the 17th century by Pietro Mengoli . He also worked on fractional powers, and the notion of probability over infinite sequences, ideas which would not be further developed for the next three and five centuries, respectively. Oresme, like many of his contemporaries such as John Buridan and Albert of Saxony, shaped and critiqued Aristotle's and Averroes's theories of motion to their own liking. Taking inspiration from

17424-632: Was very probable that the length of the day and the year were incommensurate ( irrational ), as indeed were the periods of the motions of the moon and the planets. From this, he noted that planetary conjunctions and oppositions would never recur in quite exactly the same way. Oresme maintained that this disproves the claims of astrologers who, thinking "they know with punctual exactness the motions, aspects , conjunctions and oppositions… [judge] rashly and erroneously about future events." Oresme's critique of astrology in his Livre de divinacions treats it as having six parts. The first, essentially astronomy,

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