118-533: Ancient Greek mythological figure In Greek mythology , Phalerus ( / f ə ˈ l iː r ə s / ; Ancient Greek : Φάληρος) or Phalereus (Φαληρεὺς) may refer to the following characters: Phalerus , one of the Argonauts and son of Alcon from Athens . Phalerus or Phalereus, one of the Lapiths who attended the wedding of Pirithous and Hippodamia , and fought against
236-579: A pederastic light . Alexandrian poets at first, then more generally literary mythographers in the early Roman Empire, often re-adapted stories of Greek mythological characters in this fashion. The achievement of epic poetry was to create story-cycles and, as a result, to develop a new sense of mythological chronology. Thus, Greek mythology unfolds as a phase in the development of the world and of humans. While self-contradictions in these stories make an absolute timeline impossible, an approximate chronology may be discerned. The resulting mythological "history of
354-467: A 12-digit Standard Book Number of 345-24223-8-595 (valid SBN: 345-24223-8, ISBN: 0-345-24223-8), and it cost US$ 5.95 . Since 1 January 2007, ISBNs have contained thirteen digits, a format that is compatible with " Bookland " European Article Numbers , which have 13 digits. Since 2016, ISBNs have also been used to identify mobile games by China's Administration of Press and Publication . The United States , with 3.9 million registered ISBNs in 2020,
472-655: A Christian moralizing perspective. The discovery of the Mycenaean civilization by the German amateur archaeologist Heinrich Schliemann in the nineteenth century, and the discovery of the Minoan civilization in Crete by the British archaeologist Arthur Evans in the twentieth century, helped to explain many existing questions about Homer's epics and provided archaeological evidence for many of
590-571: A collection of epic poems , starts with the events leading up to the war: Eris and the golden apple of Kallisti , the Judgement of Paris , the abduction of Helen , the sacrifice of Iphigenia at Aulis . To recover Helen, the Greeks launched a great expedition under the overall command of Menelaus 's brother, Agamemnon, king of Argos, or Mycenae , but the Trojans refused to return Helen. The Iliad , which
708-488: A combination of their name and epithets , that identify them by these distinctions from other manifestations of themselves (e.g., Apollo Musagetes is " Apollo , [as] leader of the Muses "). Alternatively, the epithet may identify a particular and localized aspect of the god, sometimes thought to be already ancient during the classical epoch of Greece. Most gods were associated with specific aspects of life. For example, Aphrodite
826-515: A convenient framework into which to fit their own courtly and chivalric ideals. Twelfth-century authors, such as Benoît de Sainte-Maure ( Roman de Troie [Romance of Troy, 1154–60]) and Joseph of Exeter ( De Bello Troiano [On the Trojan War, 1183]) describe the war while rewriting the standard version they found in Dictys and Dares . They thus follow Horace 's advice and Virgil's example: they rewrite
944-485: A flat disk afloat on the river of Oceanus and overlooked by a hemispherical sky with sun, moon, and stars. The Sun ( Helios ) traversed the heavens as a charioteer and sailed around the Earth in a golden bowl at night. Sun, earth, heaven, rivers, and winds could be addressed in prayers and called to witness oaths. Natural fissures were popularly regarded as entrances to the subterranean house of Hades and his predecessors, home of
1062-447: A given ISBN is complicated, because most of the parts do not use a fixed number of digits. ISBN issuance is country-specific, in that ISBNs are issued by the ISBN registration agency that is responsible for that country or territory regardless of the publication language. The ranges of ISBNs assigned to any particular country are based on the publishing profile of the country concerned, and so
1180-552: A god "greater than he", Zeus swallowed her. She was already pregnant with Athena , however, and she burst forth from his head—fully-grown and dressed for war. The earliest Greek thought about poetry considered the theogonies to be the prototypical poetic genre—the prototypical mythos —and imputed almost magical powers to it. Orpheus , the archetypal poet, also was the archetypal singer of theogonies, which he uses to calm seas and storms in Apollonius' Argonautica , and to move
1298-513: A limited number of gods, who were the focus of large pan-Hellenic cults. It was, however, common for individual regions and villages to devote their own cults to minor gods. Many cities also honored the more well-known gods with unusual local rites and associated strange myths with them that were unknown elsewhere. During the heroic age, the cult of heroes (or demigods) supplemented that of the gods. "The origins of humanity [were] ascribed to various figures, including Zeus and Prometheus ." Bridging
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#17328485688681416-688: A list of Greek mythological figures with the same or similar names. If an internal link for a specific Greek mythology article referred you to this page, you may wish to change the link to point directly to the intended Greek mythology article, if one exists. Retrieved from " https://en.wikipedia.org/w/index.php?title=Phalerus&oldid=1243871001 " Categories : Set index articles on Greek mythology Lapiths Thessalian mythology Princes in Greek mythology Mythological Laconians Laconian mythology Trojans Hidden categories: Articles with short description Short description
1534-405: A musical contest with Apollo . Ian Morris considers Prometheus' adventures as "a place between the history of the gods and that of man." An anonymous papyrus fragment, dated to the third century, vividly portrays Dionysus ' punishment of the king of Thrace , Lycurgus , whose recognition of the new god came too late, resulting in horrific penalties that extended into the afterlife. The story of
1652-454: A number of local legends became attached. The story of Medea , in particular, caught the imagination of the tragic poets. In between the Argo and the Trojan War, there was a generation known chiefly for its horrific crimes. This includes the doings of Atreus and Thyestes at Argos. Behind the myth of the house of Atreus (one of the two principal heroic dynasties with the house of Labdacus ) lies
1770-473: A poem of Troy instead of telling something completely new. ISBN (identifier) The International Standard Book Number ( ISBN ) is a numeric commercial book identifier that is intended to be unique. Publishers purchase or receive ISBNs from an affiliate of the International ISBN Agency. A different ISBN is assigned to each separate edition and variation of a publication, but not to
1888-458: A simple reprinting of an existing item. For example, an e-book , a paperback and a hardcover edition of the same book must each have a different ISBN, but an unchanged reprint of the hardcover edition keeps the same ISBN. The ISBN is ten digits long if assigned before 2007, and thirteen digits long if assigned on or after 1 January 2007. The method of assigning an ISBN is nation-specific and varies between countries, often depending on how large
2006-499: A spirit to every aspect of nature. Eventually, these vague spirits assumed human forms and entered the local mythology as gods. When tribes from the north of the Balkan Peninsula invaded, they brought with them a new pantheon of gods, based on conquest, force, prowess in battle, and violent heroism. Other older gods of the agricultural world fused with those of the more powerful invaders or else faded into insignificance. After
2124-401: A systematic pattern, which allows their length to be determined, as follows: A check digit is a form of redundancy check used for error detection , the decimal equivalent of a binary check bit . It consists of a single digit computed from the other digits in the number. The method for the 10-digit ISBN is an extension of that for SBNs, so the two systems are compatible; an SBN prefixed with
2242-458: A zero (the 10-digit ISBN) will give the same check digit as the SBN without the zero. The check digit is base eleven, and can be an integer between 0 and 9, or an 'X'. The system for 13-digit ISBNs is not compatible with SBNs and will, in general, give a different check digit from the corresponding 10-digit ISBN, so does not provide the same protection against transposition. This is because the 13-digit code
2360-560: A zero to a 9-digit SBN creates a valid 10-digit ISBN. The national ISBN agency assigns the registrant element ( cf. Category:ISBN agencies ) and an accompanying series of ISBNs within that registrant element to the publisher; the publisher then allocates one of the ISBNs to each of its books. In most countries, a book publisher is not legally required to assign an ISBN, although most large bookstores only handle publications that have ISBNs assigned to them. The International ISBN Agency maintains
2478-519: A zero). Privately published books sometimes appear without an ISBN. The International ISBN Agency sometimes assigns ISBNs to such books on its own initiative. A separate identifier code of a similar kind, the International Standard Serial Number (ISSN), identifies periodical publications such as magazines and newspapers . The International Standard Music Number (ISMN) covers musical scores . The Standard Book Number (SBN)
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#17328485688682596-474: Is 7, and the complete sequence is ISBN 978-0-306-40615-7. In general, the ISBN check digit is calculated as follows. Let Then This check system—similar to the UPC check digit formula—does not catch all errors of adjacent digit transposition. Specifically, if the difference between two adjacent digits is 5, the check digit will not catch their transposition. For instance, the above example allows this situation with
2714-469: Is a commercial system using nine-digit code numbers to identify books. In 1965, British bookseller and stationers WHSmith announced plans to implement a standard numbering system for its books. They hired consultants to work on their behalf, and the system was devised by Gordon Foster , emeritus professor of statistics at Trinity College Dublin . The International Organization for Standardization (ISO) Technical Committee on Documentation sought to adapt
2832-400: Is a multiple of 11. That is, if x i is the i th digit, then x 10 must be chosen such that: For example, for an ISBN-10 of 0-306-40615-2: Formally, using modular arithmetic , this is rendered It is also true for ISBN-10s that the sum of all ten digits, each multiplied by its weight in ascending order from 1 to 10, is a multiple of 11. For this example: Formally, this
2950-424: Is available on the International ISBN Agency website. A list for a few countries is given below: The ISBN registration group element is a 1-to-5-digit number that is valid within a single prefix element (i.e. one of 978 or 979), and can be separated between hyphens, such as "978-1-..." . Registration groups have primarily been allocated within the 978 prefix element. The single-digit registration groups within
3068-410: Is different from Wikidata All set index articles Greek mythology Greek mythology is the body of myths originally told by the ancient Greeks , and a genre of ancient Greek folklore , today absorbed alongside Roman mythology into the broader designation of classical mythology . These stories concern the ancient Greek religion 's view of the origin and nature of the world ;
3186-402: Is not needed, but it may be considered to simplify the calculation.) For example, the check digit for the ISBN of 0-306-40615- ? is calculated as follows: Thus the check digit is 2. It is possible to avoid the multiplications in a software implementation by using two accumulators. Repeatedly adding t into s computes the necessary multiples: The modular reduction can be done once at
3304-461: Is portrayed as a sacrificer, mentioned as a founder of altars, and imagined as a voracious eater himself; it is in this role that he appears in comedy. While his tragic end provided much material for tragedy— Heracles is regarded by Thalia Papadopoulou as "a play of great significance in examination of other Euripidean dramas." In art and literature, Heracles was represented as an enormously strong man of moderate height; his characteristic weapon
3422-414: Is rendered The two most common errors in handling an ISBN (e.g. when typing it or writing it down) are a single altered digit or the transposition of adjacent digits. It can be proven mathematically that all pairs of valid ISBN-10s differ in at least two digits. It can also be proven that there are no pairs of valid ISBN-10s with eight identical digits and two transposed digits (these proofs are true because
3540-608: Is set in the tenth year of the war, tells of the quarrel between Agamemnon and Achilles, who was the finest Greek warrior, and the consequent deaths in battle of Achilles' beloved comrade Patroclus and Priam 's eldest son, Hector . After Hector's death, the Trojans were joined by two exotic allies, Penthesilea , queen of the Amazons , and Memnon , king of the Ethiopians and son of the dawn-goddess, Eos . Achilles killed both of these, but Paris then managed to kill Achilles with an arrow in
3658-469: Is that "the Greek gods are persons, not abstractions, ideas or concepts." Regardless of their underlying forms, the Ancient Greek gods have many fantastic abilities; most significantly, the gods are not affected by disease and can be wounded only under highly unusual circumstances. The Greeks considered immortality as the distinctive characteristic of their gods; this immortality, as well as unfading youth,
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3776-573: The Chimera and Medusa . Bellerophon's adventures are commonplace types, similar to the adventures of Heracles and Theseus. Sending a hero to his presumed death is also a recurrent theme of this early heroic tradition, used in the cases of Perseus and Bellerophon. The only surviving Hellenistic epic, the Argonautica of Apollonius of Rhodes (epic poet, scholar, and director of the Library of Alexandria ) tells
3894-469: The Derveni Papyrus now proves that at least in the fifth-century BC a theogonic-cosmogonic poem of Orpheus was in existence. The first philosophical cosmologists reacted against, or sometimes built upon, popular mythical conceptions that had existed in the Greek world for some time. Some of these popular conceptions can be gleaned from the poetry of Homer and Hesiod. In Homer, the Earth was viewed as
4012-515: The Geometric period from c. 900 BC to c. 800 BC onward. In fact, literary and archaeological sources integrate, sometimes mutually supportive and sometimes in conflict; however, in many cases, the existence of this corpus of data is an indication that many elements of Greek mythology have strong factual and historical roots. Mythical narration plays an important role in nearly every genre of Greek literature. Nevertheless,
4130-528: The Hellenistic and Roman ages was primarily composed as a literary rather than cultic exercise. Nevertheless, it contains many important details that would otherwise be lost. This category includes the works of: Prose writers from the same periods who make reference to myths include Apuleius , Petronius , Lollianus , and Heliodorus . Two other important non-poetical sources are the Fabulae and Astronomica of
4248-583: The Parthenon depicting the sack of Troy); this artistic preference for themes deriving from the Trojan Cycle indicates its importance to the Ancient Greek civilization. The same mythological cycle also inspired a series of posterior European literary writings. For instance, Trojan Medieval European writers, unacquainted with Homer at first hand, found in the Troy legend a rich source of heroic and romantic storytelling and
4366-679: The Peloponnesian kingdoms of Mycenae , Sparta and Argos , claiming, according to legend, a right to rule them through their ancestor. Their rise to dominance is frequently called the " Dorian invasion ". The Lydian and later the Macedonian kings, as rulers of the same rank, also became Heracleidae. Other members of this earliest generation of heroes such as Perseus, Deucalion , Theseus and Bellerophon , have many traits in common with Heracles. Like him, their exploits are solitary, fantastic and border on fairy tale , as they slay monsters such as
4484-577: The Roman culture because of the story of Aeneas , a Trojan hero whose journey from Troy led to the founding of the city that would one day become Rome, as recounted in Virgil's Aeneid (Book II of Virgil's Aeneid contains the best-known account of the sack of Troy). Finally there are two pseudo-chronicles written in Latin that passed under the names of Dictys Cretensis and Dares Phrygius . The Trojan War cycle ,
4602-932: The centaurs during the celebrated Centauromachy . Phalereus, the Spartan son of Icarius and Asterodia , daughter of Eurypylus . He was the brother of Amasichus , Thoon , Pheremmelias , Perilaos , Penelope and Laodamia (also called Mede or Hypsipyle ). Phalerus, a Trojan warrior who was killed by Neoptolemus . Notes [ edit ] ^ Apollonius Rhodius , 1.96-97; Argonautica Orphica 144; Pausanias , 1.1.4; Hyginus , Fabulae 14 ^ Hesiod , Shield of Heracles 180 ^ Scholia ad Homer , Odyssey 4.797 ^ RE , s.v. Phaleros 2 ; Quintus Smyrnaeus , 8.293 References [ edit ] Apollonius Rhodius , Argonautica translated by Robert Cooper Seaton (1853-1915), R. C. Loeb Classical Library Volume 001. London, William Heinemann Ltd, 1912. Online version at
4720-415: The publisher , "01381" is the serial number assigned by the publisher, and "8" is the check digit . By prefixing a zero, this can be converted to ISBN 0-340-01381-8 ; the check digit does not need to be re-calculated. Some publishers, such as Ballantine Books , would sometimes use 12-digit SBNs where the last three digits indicated the price of the book; for example, Woodstock Handmade Houses had
4838-448: The 13-digit ISBN, as follows: A 13-digit ISBN can be separated into its parts ( prefix element , registration group , registrant , publication and check digit ), and when this is done it is customary to separate the parts with hyphens or spaces. Separating the parts ( registration group , registrant , publication and check digit ) of a 10-digit ISBN is also done with either hyphens or spaces. Figuring out how to correctly separate
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4956-669: The 18th century BC; eventually the myths of the heroes of the Trojan War and its aftermath became part of the oral tradition of Homer 's epic poems , the Iliad and the Odyssey . Two poems by Homer's near contemporary Hesiod , the Theogony and the Works and Days , contain accounts of the genesis of the world, the succession of divine rulers, the succession of human ages, the origin of human woes, and
5074-432: The 6 followed by a 1. The correct order contributes 3 × 6 + 1 × 1 = 19 to the sum; while, if the digits are transposed (1 followed by a 6), the contribution of those two digits will be 3 × 1 + 1 × 6 = 9 . However, 19 and 9 are congruent modulo 10, and so produce the same, final result: both ISBNs will have a check digit of 7. The ISBN-10 formula uses the prime modulus 11 which avoids this blind spot, but requires more than
5192-473: The 978-prefix element are: 0 or 1 for English-speaking countries; 2 for French-speaking countries; 3 for German-speaking countries; 4 for Japan; 5 for Russian-speaking countries; and 7 for People's Republic of China. Example 5-digit registration groups are 99936 and 99980, for Bhutan. The allocated registration groups are: 0–5, 600–631, 65, 7, 80–94, 950–989, 9910–9989, and 99901–99993. Books published in rare languages typically have longer group elements. Within
5310-571: The 979 prefix element, the registration group 0 is reserved for compatibility with International Standard Music Numbers (ISMNs), but such material is not actually assigned an ISBN. The registration groups within prefix element 979 that have been assigned are 8 for the United States of America, 10 for France, 11 for the Republic of Korea, and 12 for Italy. The original 9-digit standard book number (SBN) had no registration group identifier, but prefixing
5428-466: The Ancient Greek pantheon, poets composed the Homeric Hymns (a group of thirty-three songs). Gregory Nagy (1992) regards "the larger Homeric Hymns as simple preludes (compared with Theogony ), each of which invokes one god." The gods of Greek mythology are described as having essentially corporeal but ideal bodies. According to Walter Burkert , the defining characteristic of Greek anthropomorphism
5546-605: The British SBN for international use. The ISBN identification format was conceived in 1967 in the United Kingdom by David Whitaker (regarded as the "Father of the ISBN") and in 1968 in the United States by Emery Koltay (who later became director of the U.S. ISBN agency R. R. Bowker ). The 10-digit ISBN format was developed by the ISO and was published in 1970 as international standard ISO 2108. The United Kingdom continued to use
5664-597: The Greek leaders (including the wanderings of Odysseus and Aeneas (the Aeneid ), and the murder of Agamemnon) were told in two epics, the Returns (the lost Nostoi ) and Homer's Odyssey . The Trojan cycle also includes the adventures of the children of the Trojan generation (e.g., Orestes and Telemachus ). The Trojan War provided a variety of themes and became a main source of inspiration for Ancient Greek artists (e.g. metopes on
5782-468: The Greek world and noted the stories they heard, supplied numerous local myths and legends, often giving little-known alternative versions. Herodotus in particular, searched the various traditions he encountered and found the historical or mythological roots in the confrontation between Greece and the East. Herodotus attempted to reconcile origins and the blending of differing cultural concepts. The poetry of
5900-416: The ISBN is less than eleven digits long and because 11 is a prime number ). The ISBN check digit method therefore ensures that it will always be possible to detect these two most common types of error, i.e., if either of these types of error has occurred, the result will never be a valid ISBN—the sum of the digits multiplied by their weights will never be a multiple of 11. However, if the error were to occur in
6018-543: The Olympians, the Greeks worshipped various gods of the countryside, the satyr-god Pan , Nymphs (spirits of rivers), Naiads (who dwelled in springs), Dryads (who were spirits of the trees), Nereids (who inhabited the sea), river gods, Satyrs , and others. In addition, there were the dark powers of the underworld, such as the Erinyes (or Furies), said to pursue those guilty of crimes against blood-relatives. In order to honor
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#17328485688686136-617: The Perseus Digital Library Pausanias, Graeciae Descriptio. 3 vols . Leipzig, Teubner. 1903. Greek text available at the Perseus Digital Library . Quintus Smyrnaeus , Posthomerica , edited and translated by Neil Hopkinson, Loeb Classical Library No. 19, Cambridge, Massachusetts, Harvard University Press , 2018. ISBN 978-0-674-99716-5 . Online version at Harvard University Press . [REDACTED] [REDACTED] This article includes
6254-518: The Perseus Digital Library. Greek text available from the same website . The Orphic Argonautica , translated by Jason Colavito. © Copyright 2011. Online version at the Topos Text Project. Pausanias , Description of Greece with an English Translation by W.H.S. Jones, Litt.D., and H.A. Ormerod, M.A., in 4 Volumes. Cambridge, MA, Harvard University Press; London, William Heinemann Ltd. 1918. ISBN 0-674-99328-4 . Online version at
6372-736: The Roman writer styled as Pseudo- Hyginus , the Imagines of Philostratus the Elder and Philostratus the Younger , and the Descriptions of Callistratus . Finally, several Byzantine Greek writers provide important details of myth, much derived from earlier now lost Greek works. These preservers of myth include Arnobius , Hesychius , the author of the Suda , John Tzetzes , and Eustathius . They often treat mythology from
6490-652: The Topos Text Project. Apollonius Rhodius, Argonautica . George W. Mooney. London. Longmans, Green. 1912. Greek text available at the Perseus Digital Library . Gaius Julius Hyginus , Fabulae from The Myths of Hyginus translated and edited by Mary Grant. University of Kansas Publications in Humanistic Studies. Online version at the Topos Text Project. Hesiod , Shield of Heracles from The Homeric Hymns and Homerica with an English Translation by Hugh G. Evelyn-White, Cambridge, MA.,Harvard University Press; London, William Heinemann Ltd. 1914. Online version at
6608-514: The Trojan cycle, as well as the adventures of Heracles. These visual representations of myths are important for two reasons. Firstly, many Greek myths are attested on vases earlier than in literary sources: of the twelve labors of Heracles, for example, only the Cerberus adventure occurs in a contemporary literary text. Secondly, visual sources sometimes represent myths or mythical scenes that are not attested in any extant literary source. In some cases,
6726-456: The age when gods lived alone and the age when divine interference in human affairs was limited was a transitional age in which gods and mortals moved together. These were the early days of the world when the groups mingled more freely than they did later. Most of these tales were later told by Ovid's Metamorphoses and they are often divided into two thematic groups: tales of love, and tales of punishment. Tales of love often involve incest, or
6844-657: The allocations of ISBNs that they make to publishers. For example, a large publisher may be given a block of ISBNs where fewer digits are allocated for the registrant element and many digits are allocated for the publication element; likewise, countries publishing many titles have few allocated digits for the registration group identifier and many for the registrant and publication elements. Here are some sample ISBN-10 codes, illustrating block length variations. English-language registration group elements are 0 and 1 (2 of more than 220 registration group elements). These two registration group elements are divided into registrant elements in
6962-476: The appropriation or invention of some important cultural artifact, as when Prometheus steals fire from the gods, when Tantalus steals nectar and ambrosia from Zeus' table and gives it to his subjects—revealing to them the secrets of the gods, when Prometheus or Lycaon invents sacrifice, when Demeter teaches agriculture and the Mysteries to Triptolemus , or when Marsyas invents the aulos and enters into
7080-605: The army of the dead." Another important difference between the hero cult and the cult of gods is that the hero becomes the centre of local group identity. The monumental events of Heracles are regarded as the dawn of the age of heroes. To the Heroic Age are also ascribed three great events: the Argonautic expedition, the Theban Cycle , and the Trojan War . Some scholars believe that behind Heracles' complicated mythology there
7198-450: The arrival of Dionysus to establish his cult in Thrace was also the subject of an Aeschylean trilogy. In another tragedy, Euripides' The Bacchae , the king of Thebes , Pentheus , is punished by Dionysus, because he disrespected the god and spied on his Maenads , the female worshippers of the god. In another story, based on an old folktale-motif, and echoing a similar theme, Demeter
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#17328485688687316-577: The basis for the collection; however, the "Library" discusses events that occurred long after his death, hence the name Pseudo-Apollodorus. Among the earliest literary sources are Homer 's two epic poems, the Iliad and the Odyssey . Other poets completed the Epic Cycle , but these later and lesser poems now are lost almost entirely. Despite their traditional name, the Homeric Hymns have no direct connection with Homer. The oldest are choral hymns from
7434-409: The beginnings of the universe in human language. The most widely accepted version at the time, although a philosophical account of the beginning of things, is reported by Hesiod , in his Theogony . He begins with Chaos , a yawning nothingness. Next comes Gaia (Earth), "the ever-sure foundation of all", and then Tartarus , "in the depth of the wide-pathed Earth", and Eros (Love), "fairest among
7552-461: The check digit itself). Each digit, from left to right, is alternately multiplied by 1 or 3, then those products are summed modulo 10 to give a value ranging from 0 to 9. Subtracted from 10, that leaves a result from 1 to 10. A zero replaces a ten, so, in all cases, a single check digit results. For example, the ISBN-13 check digit of 978-0-306-40615- ? is calculated as follows: Thus, the check digit
7670-419: The check digit must equal either 0 or 11. Therefore, the check digit is (11 minus the remainder of the sum of the products modulo 11) modulo 11. Taking the remainder modulo 11 a second time accounts for the possibility that the first remainder is 0. Without the second modulo operation, the calculation could result in a check digit value of 11 − 0 = 11 , which is invalid. (Strictly speaking, the first "modulo 11"
7788-411: The complete sequence is ISBN 0-306-40615-2. If the value of x 10 {\displaystyle x_{10}} required to satisfy this condition is 10, then an 'X' should be used. Alternatively, modular arithmetic is convenient for calculating the check digit using modulus 11. The remainder of this sum when it is divided by 11 (i.e. its value modulo 11), is computed. This remainder plus
7906-502: The composition of the story of the Argonauts is earlier than Odyssey , which shows familiarity with the exploits of Jason (the wandering of Odysseus may have been partly founded on it). In ancient times, the expedition was regarded as a historical fact, an incident in the opening up of the Black Sea to Greek commerce and colonization. It was also extremely popular, forming a cycle to which
8024-447: The concept and ritual. The age in which the heroes lived is known as the Heroic age . The epic and genealogical poetry created cycles of stories clustered around particular heroes or events and established the family relationships between the heroes of different stories; they thus arranged the stories in sequence. According to Ken Dowden (1992), "there is even a saga effect: We can follow
8142-400: The culture, arts, and literature of Western civilization and remains part of Western heritage and language. Poets and artists from ancient times to the present have derived inspiration from Greek mythology and have discovered contemporary significance and relevance in the themes. Greek mythology is known today primarily from Greek literature and representations on visual media dating from
8260-457: The dead. Influences from other cultures always afforded new themes. According to Classical-era mythology, after the overthrow of the Titans, the new pantheon of gods and goddesses was confirmed. Among the principal Greek gods were the Olympians, residing on Mount Olympus under the eye of Zeus. (The limitation of their number to twelve seems to have been a comparatively modern idea.) Besides
8378-507: The deathless gods". Without male assistance, Gaia gave birth to Uranus (the Sky) who then fertilized her. From that union were born first the Titans —six males: Coeus , Crius , Cronus , Hyperion , Iapetus , and Oceanus ; and six females: Mnemosyne , Phoebe , Rhea , Theia , Themis , and Tethys . After Cronus was born, Gaia and Uranus decreed no more Titans were to be born. They were followed by
8496-467: The decoration of votive gifts and many other artifacts. Geometric designs on pottery of the eighth century BC depict scenes from the Epic Cycle as well as the adventures of Heracles . In the succeeding Archaic , Classical , and Hellenistic periods, Homeric and various other mythological scenes appear, supplementing the existing literary evidence. Greek mythology has had an extensive influence on
8614-471: The details of over one million ISBN prefixes and publishers in the Global Register of Publishers . This database is freely searchable over the internet. Publishers receive blocks of ISBNs, with larger blocks allotted to publishers expecting to need them; a small publisher may receive ISBNs of one or more digits for the registration group identifier, several digits for the registrant, and a single digit for
8732-610: The divine-focused Theogony and Homeric Hymns in both size and popularity. Under the influence of Homer the "hero cult" leads to a restructuring in spiritual life, expressed in the separation of the realm of the gods from the realm of the dead (heroes), of the Chthonic from the Olympian. In the Works and Days , Hesiod makes use of a scheme of Four Ages of Man (or Races): Golden, Silver, Bronze, and Iron. These races or ages are separate creations of
8850-476: The earlier part of the so-called Lyric age . Hesiod , a possible contemporary with Homer, offers in his Theogony ( Origin of the Gods ) the fullest account of the earliest Greek myths, dealing with the creation of the world, the origin of the gods, Titans , and Giants , as well as elaborate genealogies, folktales, and aetiological myths. Hesiod's Works and Days , a didactic poem about farming life, also includes
8968-437: The end, as shown above (in which case s could hold a value as large as 496, for the invalid ISBN 99999-999-9-X), or s and t could be reduced by a conditional subtract after each addition. Appendix 1 of the International ISBN Agency's official user manual describes how the 13-digit ISBN check digit is calculated. The ISBN-13 check digit, which is the last digit of the ISBN, must range from 0 to 9 and must be such that
9086-468: The evolution of their culture, of which mythology, both overtly and in its unspoken assumptions, is an index of the changes. In Greek mythology's surviving literary forms, as found mostly at the end of the progressive changes, it is inherently political, as Gilbert Cuthbertson (1975) has argued. The earlier inhabitants of the Balkan Peninsula were an agricultural people who, using animism , assigned
9204-405: The fates of some families in successive generations." After the rise of the hero cult, gods and heroes constitute the sacral sphere and are invoked together in oaths and prayers which are addressed to them. Burkert (2002) notes that "the roster of heroes, again in contrast to the gods, is never given fixed and final form. Great gods are no longer born, but new heroes can always be raised up from
9322-504: The first known representation of a myth in geometric art predates its first known representation in late archaic poetry, by several centuries. In the Archaic ( c. 750 – c. 500 BC ), Classical ( c. 480 –323 BC), and Hellenistic (323–146 BC) periods, Homeric and various other mythological scenes appear, supplementing the existing literary evidence. Greek mythology has changed over time to accommodate
9440-466: The gods, the Golden Age belonging to the reign of Cronos, the subsequent races to the creation of Zeus . The presence of evil was explained by the myth of Pandora , when all of the best of human capabilities, save hope, had been spilled out of her overturned jar. In Metamorphoses , Ovid follows Hesiod's concept of the four ages. "Myths of origin" or " creation myths " represent an attempt to explain
9558-530: The heel. Achilles' heel was the only part of his body which was not invulnerable to damage by human weaponry. Before they could take Troy, the Greeks had to steal from the citadel the wooden image of Pallas Athena (the Palladium ). Finally, with Athena's help, they built the Trojan Horse . Despite the warnings of Priam's daughter Cassandra , the Trojans were persuaded by Sinon , a Greek who feigned desertion, to take
9676-709: The highest social prestige through his appointment as official ancestor of the Dorian kings. This probably served as a legitimation for the Dorian migrations into the Peloponnese . Hyllus , the eponymous hero of one Dorian phyle , became the son of Heracles and one of the Heracleidae or Heraclids (the numerous descendants of Heracles, especially the descendants of Hyllus —other Heracleidae included Macaria , Lamos, Manto , Bianor , Tlepolemus , and Telephus ). These Heraclids conquered
9794-420: The horse inside the walls of Troy as an offering to Athena; the priest Laocoon, who tried to have the horse destroyed, was killed by sea-serpents. At night the Greek fleet returned, and the Greeks from the horse opened the gates of Troy. In the total sack that followed, Priam and his remaining sons were slaughtered; the Trojan women passed into slavery in various cities of Greece. The adventurous homeward voyages of
9912-469: The lives and activities of deities , heroes , and mythological creatures ; and the origins and significance of the ancient Greeks' cult and ritual practices. Modern scholars study the myths to shed light on the religious and political institutions of ancient Greece, and to better understand the nature of mythmaking itself. The Greek myths were initially propagated in an oral-poetic tradition most likely by Minoan and Mycenaean singers starting in
10030-576: The middle of the Archaic period, myths about relationships between male gods and male heroes became more and more frequent, indicating the parallel development of pedagogic pederasty ( παιδικὸς ἔρως , eros paidikos ), thought to have been introduced around 630 BC. By the end of the fifth-century BC, poets had assigned at least one eromenos , an adolescent boy who was their sexual companion, to every important god except Ares and many legendary figures. Previously existing myths, such as those of Achilles and Patroclus , also then were cast in
10148-564: The myth of the voyage of Jason and the Argonauts to retrieve the Golden Fleece from the mythical land of Colchis . In the Argonautica , Jason is impelled on his quest by king Pelias , who receives a prophecy that a man with one sandal would be his nemesis . Jason loses a sandal in a river, arrives at the court of Pelias, and the epic is set in motion. Nearly every member of the next generation of heroes, as well as Heracles, went with Jason in
10266-475: The mythological details about gods and heroes. The evidence about myths and rituals at Mycenaean and Minoan sites is entirely monumental, as the Linear B script (an ancient form of Greek found in both Crete and mainland Greece) was used mainly to record inventories, although certain names of gods and heroes have been tentatively identified. Geometric designs on pottery of the eighth-century BC depict scenes from
10384-525: The myths of Prometheus , Pandora , and the Five Ages . The poet advises on the best way to succeed in a dangerous world, rendered yet more dangerous by its gods. Lyrical poets often took their subjects from myth, but their treatment became gradually less narrative and more allusive. Greek lyric poets, including Pindar , Bacchylides and Simonides , and bucolic poets such as Theocritus and Bion , relate individual mythological incidents. Additionally, myth
10502-560: The nine-digit SBN code until 1974. ISO has appointed the International ISBN Agency as the registration authority for ISBN worldwide and the ISBN Standard is developed under the control of ISO Technical Committee 46/Subcommittee 9 TC 46/SC 9 . The ISO on-line facility only refers back to 1978. An SBN may be converted to an ISBN by prefixing the digit "0". For example, the second edition of Mr. J. G. Reeder Returns , published by Hodder in 1965, has "SBN 340 01381 8" , where "340" indicates
10620-485: The one-eyed Cyclopes and the Hecatoncheires or Hundred-Handed Ones, who were both thrown into Tartarus by Uranus. This made Gaia furious. Cronus ("the wily, youngest and most terrible of Gaia 's children") was convinced by Gaia to castrate his father. He did this and became the ruler of the Titans with his sister-wife, Rhea, as his consort, and the other Titans became his court. A motif of father-against-son conflict
10738-468: The only general mythographical handbook to survive from Greek antiquity was the Library of Pseudo-Apollodorus. This work attempts to reconcile the contradictory tales of the poets and provides a grand summary of traditional Greek mythology and heroic legends. Apollodorus of Athens lived from c. 180 BC to c. 125 BC and wrote on many of these topics. His writings may have formed
10856-684: The origin of sacrificial practices. Myths are also preserved in the Homeric Hymns , in fragments of epic poems of the Epic Cycle , in lyric poems , in the works of the tragedians and comedians of the fifth century BC, in writings of scholars and poets of the Hellenistic Age , and in texts from the time of the Roman Empire by writers such as Plutarch and Pausanias . Aside from this narrative deposit in ancient Greek literature , pictorial representations of gods, heroes, and mythic episodes featured prominently in ancient vase paintings and
10974-454: The problem of the devolution of power and of the mode of accession to sovereignty. The twins Atreus and Thyestes with their descendants played the leading role in the tragedy of the devolution of power in Mycenae. The Theban Cycle deals with events associated especially with Cadmus , the city's founder, and later with the doings of Laius and Oedipus at Thebes; a series of stories that lead to
11092-502: The publication element. Once that block of ISBNs is used, the publisher may receive another block of ISBNs, with a different registrant element. Consequently, a publisher may have different allotted registrant elements. There also may be more than one registration group identifier used in a country. This might occur once all the registrant elements from a particular registration group have been allocated to publishers. By using variable block lengths, registration agencies are able to customise
11210-428: The publishing house and remain undetected, the book would be issued with an invalid ISBN. In contrast, it is possible for other types of error, such as two altered non-transposed digits, or three altered digits, to result in a valid ISBN (although it is still unlikely). Each of the first nine digits of the 10-digit ISBN—excluding the check digit itself—is multiplied by its (integer) weight, descending from 10 to 2, and
11328-497: The publishing industry is within a country. The first version of the ISBN identification format was devised in 1967, based upon the 9-digit Standard Book Numbering ( SBN ) created in 1966. The 10-digit ISBN format was developed by the International Organization for Standardization (ISO) and was published in 1970 as international standard ISO 2108 (any 9-digit SBN can be converted to a 10-digit ISBN by prefixing it with
11446-475: The ranges will vary depending on the number of books and the number, type, and size of publishers that are active. Some ISBN registration agencies are based in national libraries or within ministries of culture and thus may receive direct funding from the government to support their services. In other cases, the ISBN registration service is provided by organisations such as bibliographic data providers that are not government funded. A full directory of ISBN agencies
11564-405: The same book must each have a different ISBN assigned to it. The ISBN is thirteen digits long if assigned on or after 1 January 2007, and ten digits long if assigned before 2007. An International Standard Book Number consists of four parts (if it is a 10-digit ISBN) or five parts (for a 13-digit ISBN). Section 5 of the International ISBN Agency's official user manual describes the structure of
11682-504: The seduction or rape of a mortal woman by a male god, resulting in heroic offspring. The stories generally suggest that relationships between gods and mortals are something to avoid; even consenting relationships rarely have happy endings. In a few cases, a female divinity mates with a mortal man, as in the Homeric Hymn to Aphrodite , where the goddess lies with Anchises to produce Aeneas . The second type (tales of punishment) involves
11800-575: The ship Argo to fetch the Golden Fleece. This generation also included Theseus , who went to Crete to slay the Minotaur ; Atalanta , the female heroine, and Meleager , who once had an epic cycle of his own to rival the Iliad and Odyssey . Pindar , Apollonius and the Bibliotheca endeavor to give full lists of the Argonauts. Although Apollonius wrote his poem in the 3rd century BC,
11918-483: The society while the beliefs were held. After they ceased to become religious beliefs, few would have known the rites and rituals. Allusions often existed, however, to aspects that were quite public. Images existed on pottery and religious artwork that were interpreted and more likely, misinterpreted in many diverse myths and tales. A few fragments of these works survive in quotations by Neoplatonist philosophers and recently unearthed papyrus scraps. One of these scraps,
12036-601: The stone, which had been sitting in Cronus's stomach all this time. Zeus then challenged Cronus to war for the kingship of the gods. At last, with the help of the Cyclopes (whom Zeus freed from Tartarus), Zeus and his siblings were victorious, while Cronus and the Titans were hurled down to imprisonment in Tartarus . Zeus was plagued by the same concern, and after a prophecy that the offspring of his first wife, Metis , would give birth to
12154-406: The stony hearts of the underworld gods in his descent to Hades . When Hermes invents the lyre in the Homeric Hymn to Hermes , the first thing he does is sing about the birth of the gods. Hesiod's Theogony is not only the fullest surviving account of the gods but also the fullest surviving account of the archaic poet's function, with its long preliminary invocation to the Muses . Theogony also
12272-415: The sum of all the thirteen digits, each multiplied by its (integer) weight, alternating between 1 and 3, is a multiple of 10 . As ISBN-13 is a subset of EAN-13 , the algorithm for calculating the check digit is exactly the same for both. Formally, using modular arithmetic , this is rendered: The calculation of an ISBN-13 check digit begins with the first twelve digits of the 13-digit ISBN (thus excluding
12390-430: The sum of these nine products found. The value of the check digit is simply the one number between 0 and 10 which, when added to this sum, means the total is a multiple of 11. For example, the check digit for an ISBN-10 of 0-306-40615- ? is calculated as follows: Adding 2 to 130 gives a multiple of 11 (because 132 = 12×11)—this is the only number between 0 and 10 which does so. Therefore, the check digit has to be 2, and
12508-469: The tale known to us through tragedy (e.g. Sophocles' Oedipus Rex ) and later mythological accounts. Greek mythology culminates in the Trojan War, fought between Greece and Troy , and its aftermath. In Homer's works, such as the Iliad , the chief stories have already taken shape and substance, and individual themes were elaborated later, especially in Greek drama. The Trojan War also elicited great interest in
12626-564: The war of the Seven against Thebes and the eventual pillage of that city at the hands of the Epigoni . (It is not known whether the Seven figured in early epic.) As far as Oedipus is concerned, early epic accounts seem to have him continuing to rule at Thebes after the revelation that Iokaste was his mother, and subsequently marrying a second wife who becomes the mother of his children—markedly different from
12744-434: The world" may be divided into three or four broader periods: While the age of gods often has been of more interest to contemporary students of myth, the Greek authors of the archaic and classical eras had a clear preference for the age of heroes, establishing a chronology and record of human accomplishments after the questions of how the world came into being were explained. For example, the heroic Iliad and Odyssey dwarfed
12862-537: Was by far the biggest user of the ISBN identifier in 2020, followed by the Republic of Korea (329,582), Germany (284,000), China (263,066), the UK (188,553) and Indonesia (144,793). Lifetime ISBNs registered in the United States are over 39 million as of 2020. A separate ISBN is assigned to each edition and variation (except reprintings) of a publication. For example, an ebook, audiobook , paperback, and hardcover edition of
12980-593: Was central to classical Athenian drama . The tragic playwrights Aeschylus , Sophocles , and Euripides took most of their plots from myths of the age of heroes and the Trojan War. Many of the great tragic stories (e.g. Agamemnon and his children, Oedipus , Jason , Medea , etc.) took on their classic form in these tragedies. The comic playwright Aristophanes also used myths, in The Birds and The Frogs . Historians Herodotus and Diodorus Siculus , and geographers Pausanias and Strabo , who traveled throughout
13098-478: Was insured by the constant use of nectar and ambrosia , by which the divine blood was renewed in their veins. Each god descends from his or her own genealogy, pursues differing interests, has a certain area of expertise, and is governed by a unique personality; however, these descriptions arise from a multiplicity of archaic local variants, which do not always agree with one another. When these gods are called upon in poetry, prayer, or cult, they are referred to by
13216-592: Was probably a real man, perhaps a chieftain-vassal of the kingdom of Argos . Some scholars suggest the story of Heracles is an allegory for the sun's yearly passage through the twelve constellations of the zodiac. Others point to earlier myths from other cultures, showing the story of Heracles as a local adaptation of hero myths already well established. Traditionally, Heracles was the son of Zeus and Alcmene , granddaughter of Perseus . His fantastic solitary exploits, with their many folk-tale themes, provided much material for popular legend. According to Burkert (2002), "He
13334-511: Was repeated when Cronus was confronted by his son, Zeus . Because Cronus had betrayed his father, he feared that his offspring would do the same, and so each time Rhea gave birth, he snatched up the child and ate it. Rhea hated this and tricked him by hiding Zeus and wrapping a stone in a baby's blanket, which Cronus ate. When Zeus was full-grown, he fed Cronus a drugged drink which caused him to vomit, throwing up Rhea's other children, including Poseidon , Hades , Hestia , Demeter , and Hera , and
13452-524: Was required to be compatible with the EAN format, and hence could not contain the letter 'X'. According to the 2001 edition of the International ISBN Agency's official user manual, the ISBN-10 check digit (which is the last digit of the 10-digit ISBN) must range from 0 to 10 (the symbol 'X' is used for 10), and must be such that the sum of the ten digits, each multiplied by its (integer) weight, descending from 10 to 1,
13570-583: Was searching for her daughter, Persephone , having taken the form of an old woman called Doso, and received a hospitable welcome from Celeus , the King of Eleusis in Attica . As a gift to Celeus, because of his hospitality, Demeter planned to make his son Demophon a god, but she was unable to complete the ritual because his mother Metanira walked in and saw her son in the fire and screamed in fright, which angered Demeter, who lamented that foolish mortals do not understand
13688-571: Was the bow but frequently also the club. Vase paintings demonstrate the unparalleled popularity of Heracles, his fight with the lion being depicted many hundreds of times. Heracles also entered Etruscan and Roman mythology and cult, and the exclamation "mehercule" became as familiar to the Romans as "Herakleis" was to the Greeks. In Italy he was worshipped as a god of merchants and traders, although others also prayed to him for his characteristic gifts of good luck or rescue from danger. Heracles attained
13806-431: Was the goddess of love and beauty, Ares was the god of war, Hades the ruler of the underworld, and Athena the goddess of wisdom and courage. Some gods, such as Apollo and Dionysus , revealed complex personalities and mixtures of functions, while others, such as Hestia (literally "hearth") and Helios (literally "sun"), were little more than personifications. The most impressive temples tended to be dedicated to
13924-499: Was the subject of many lost poems, including those attributed to Orpheus, Musaeus , Epimenides , Abaris , and other legendary seers, which were used in private ritual purifications and mystery-rites . There are indications that Plato was familiar with some version of the Orphic theogony. A silence would have been expected about religious rites and beliefs, however, and that nature of the culture would not have been reported by members of
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