Dichotomy Paradox
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Dichotomy Paradox
Zeno's paradoxes are a set of philosophical problems generally thought to have been devised by Greek philosopher Zeno of Elea (c. 490–430 BC) to support Parmenides' doctrine that contrary to the evidence of one's senses, the belief in plurality and change is mistaken, and in particular that motion is nothing but an illusion. It is usually assumed, based on Plato's ''Parmenides'' (128a–d), that Zeno took on the project of creating these paradoxes because other philosophers had created paradoxes against Parmenides' view. Thus Plato has Zeno say the purpose of the paradoxes "is to show that their hypothesis that existences are many, if properly followed up, leads to still more absurd results than the hypothesis that they are one." Plato has Socrates claim that Zeno and Parmenides were essentially arguing exactly the same point. Some of Zeno's nine surviving paradoxes (preserved in Aristotle's ''Physics''
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Philosophy
Philosophy (from , ) is the systematized study of general and fundamental questions, such as those about existence, reason, knowledge, values, mind, and language. Such questions are often posed as problems to be studied or resolved. Some sources claim the term was coined by Pythagoras ( BCE), although this theory is disputed by some. Philosophical methods include questioning, critical discussion, rational argument, and systematic presentation. in . Historically, ''philosophy'' encompassed all bodies of knowledge and a practitioner was known as a ''philosopher''."The English word "philosophy" is first attested to , meaning "knowledge, body of knowledge." "natural philosophy," which began as a discipline in ancient India and Ancient Greece, encompasses astronomy, medicine, and physics. For example, Newton's 1687 ''Mathematical Principles of Natural Philosophy'' later became classified as a book of physics. In the 19th century, the growth of modern research universiti ...
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Carl Boyer
Carl Benjamin Boyer (November 3, 1906 – April 26, 1976) was an American historian of sciences, and especially mathematics. Novelist David Foster Wallace called him the "Gibbon of math history". It has been written that he was one of few historians of mathematics of his time to "keep open links with contemporary history of science." Life and career Boyer was valedictorian of his high school class. He received a B.A. from Columbia College in 1928 and an M.A. in 1929. He received his Ph.D. in Mathematics from Columbia University in 1939. He was a full professor of Mathematics at the City University of New York's Brooklyn College from 1952 until his death, although he had begun tutoring and teaching at Brooklyn College in 1928. Along with Carolyn Eisele of CUNY's Hunter College; C. Doris Hellman of the Pratt Institute, and later CUNY's Queens College; and Lynn Thorndike of Columbia University, Boyer was instrumental in the 1953 founding of the Metropolitan New York Section of t ...
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Zeno Achilles Paradox
Zeno ( grc, Ζήνων) may refer to: People * Zeno (name), including a list of people and characters with the name Philosophers * Zeno of Elea (), philosopher, follower of Parmenides, known for his paradoxes * Zeno of Citium (333 – 264 BC), founder of the Stoic school of philosophy * Zeno of Tarsus (3rd century BC), Stoic philosopher * Zeno of Sidon (1st century BC), Epicurean philosopher * Zeno of Rhodes (not later than 220 BC), historian and politician. Other persons of antiquity * Zeno of Caunus (3rd century BC), finance minister to the Ptolemies, whose papyri letters (the "Zenon archive") were discovered in the 20th century * Zeno (physician) (3rd and 2nd centuries BC), Greek physician * Zeno of Cyprus (4th century), Greek physician * Zeno of Gaza (died c. 362), early Christian martyr * Zeno of Verona (4th century), saint commemorated in the place name Basilica of San Zeno, Verona, Italy * Zeno the Hermit (4th century?) disciple of St. Basil and saint * Zeno (consul 44 ...
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Asymptote
In analytic geometry, an asymptote () of a curve is a line such that the distance between the curve and the line approaches zero as one or both of the ''x'' or ''y'' coordinates tends to infinity. In projective geometry and related contexts, an asymptote of a curve is a line which is tangent to the curve at a point at infinity. The word asymptote is derived from the Greek ἀσύμπτωτος (''asumptōtos'') which means "not falling together", from ἀ priv. + σύν "together" + πτωτ-ός "fallen". The term was introduced by Apollonius of Perga in his work on conic sections, but in contrast to its modern meaning, he used it to mean any line that does not intersect the given curve. There are three kinds of asymptotes: ''horizontal'', ''vertical'' and ''oblique''. For curves given by the graph of a function , horizontal asymptotes are horizontal lines that the graph of the function approaches as ''x'' tends to Vertical asymptotes are vertical lines near which the fun ...
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Stanford Encyclopedia Of Philosophy
The ''Stanford Encyclopedia of Philosophy'' (''SEP'') combines an online encyclopedia of philosophy with peer-reviewed publication of original papers in philosophy, freely accessible to Internet users. It is maintained by Stanford University. Each entry is written and maintained by an expert in the field, including professors from many academic institutions worldwide. Authors contributing to the encyclopedia give Stanford University the permission to publish the articles, but retain the copyright to those articles. Approach and history As of August 5th, 2022, the ''SEP'' has 1,774 published entries. Apart from its online status, the encyclopedia uses the traditional academic approach of most encyclopedias and academic journals to achieve quality by means of specialist authors selected by an editor or an editorial committee that is competent (although not necessarily considered specialists) in the field covered by the encyclopedia and peer review. The encyclopedia was created in 1 ...
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Finite
Finite is the opposite of infinite. It may refer to: * Finite number (other) * Finite set, a set whose cardinality (number of elements) is some natural number * Finite verb, a verb form that has a subject, usually being inflected or marked for person and/or tense or aspect * "Finite", a song by Sara Groves from the album ''Invisible Empires'' See also * * Nonfinite (other) Nonfinite is the opposite of finite * a nonfinite verb A nonfinite verb is a derivative form of a verb unlike finite verbs. Accordingly, nonfinite verb forms are inflected for neither number nor person, and they cannot perform action as the root ... {{disambiguation fr:Fini it:Finito ...
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Zeno Dichotomy Paradox Alt
Zeno ( grc, Ζήνων) may refer to: People * Zeno (name), including a list of people and characters with the name Philosophers * Zeno of Elea (), philosopher, follower of Parmenides, known for his paradoxes * Zeno of Citium (333 – 264 BC), founder of the Stoic school of philosophy * Zeno of Tarsus (3rd century BC), Stoic philosopher * Zeno of Sidon (1st century BC), Epicurean philosopher * Zeno of Rhodes (not later than 220 BC), historian and politician. Other persons of antiquity * Zeno of Caunus (3rd century BC), finance minister to the Ptolemies, whose papyri letters (the "Zenon archive") were discovered in the 20th century * Zeno (physician) (3rd and 2nd centuries BC), Greek physician * Zeno of Cyprus (4th century), Greek physician * Zeno of Gaza (died c. 362), early Christian martyr * Zeno of Verona (4th century), saint commemorated in the place name Basilica of San Zeno, Verona, Italy * Zeno the Hermit (4th century?) disciple of St. Basil and saint * Zeno (consul 44 ...
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Atalanta
Atalanta (; grc-gre, Ἀταλάντη, Atalantē) meaning "equal in weight", is a heroine in Greek mythology. There are two versions of the huntress Atalanta: one from Arcadia, whose parents were Iasus and Clymene and who is primarily known from the tales of the Calydonian boar hunt and the Argonauts; and the other from Boeotia, who is the daughter of King Schoeneus and is primarily noted for her skill in the footrace. In both versions, Atalanta was a local figure allied to the goddess Artemis; in such oral traditions, minor characters were often assigned different names, resulting in minor regional variations. Mythology Early life At birth, Atalanta was taken to Mount Parthenion to be exposed because her father had desired a son. A she-bear—one of the symbols of Artemis—whose cubs had been recently killed by hunters came upon Atalanta and nursed her until those same hunters discovered her and raised her themselves in the mountains. Atalanta then grew up to be a swif ...
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Aristotle
Aristotle (; grc-gre, Ἀριστοτέλης ''Aristotélēs'', ; 384–322 BC) was a Greek philosopher and polymath during the Classical period in Ancient Greece. Taught by Plato, he was the founder of the Peripatetic school of philosophy within the Lyceum and the wider Aristotelian tradition. His writings cover many subjects including physics, biology, zoology, metaphysics, logic, ethics, aesthetics, poetry, theatre, music, rhetoric, psychology, linguistics, economics, politics, meteorology, geology, and government. Aristotle provided a complex synthesis of the various philosophies existing prior to him. It was above all from his teachings that the West inherited its intellectual lexicon, as well as problems and methods of inquiry. As a result, his philosophy has exerted a unique influence on almost every form of knowledge in the West and it continues to be a subject of contemporary philosophical discussion. Little is known about his life. Aristotle was born in th ...
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Favorinus
Favorinus (c. 80 – c. 160 AD) was a Roman sophist and academic skeptic philosopher who flourished during the reign of Hadrian and the Second Sophistic. Early life He was of Gaulish ancestry, born in Arelate (Arles). He received a refined education, first in Gallia Narbonensis and then in Rome, and at an early age began his lifelong travels through Greece, Italy and the East. Career Favorinus had extensive knowledge, combined with great oratorical powers, that raised him to eminence both in Athens and in Rome. He lived on close terms with Plutarch, with Herodes Atticus, to whom he bequeathed his library in Rome, with Demetrius the Cynic, Cornelius Fronto, Aulus Gellius, and with the emperor Hadrian. His great rival was Polemon of Smyrna, whom he vigorously attacked in his later years. He knew Greek very well. After being silenced by Hadrian in an argument in which the sophist might easily have refuted his adversary, Favorinus subsequently explained that it was foolish t ...
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Diogenes Laërtius
Diogenes Laërtius ( ; grc-gre, Διογένης Λαέρτιος, ; ) was a biographer of the Ancient Greece, Greek philosophers. Nothing is definitively known about his life, but his surviving ''Lives and Opinions of Eminent Philosophers'' is a principal source for the history of ancient Greek philosophy. His reputation is controversial among scholars because he often repeats information from his sources without critically evaluating it. He also frequently focuses on trivial or insignificant details of his subjects' lives while ignoring important details of their philosophical teachings and he sometimes fails to distinguish between earlier and later teachings of specific philosophical schools. However, unlike many other ancient secondary sources, Diogenes Laërtius generally reports philosophical teachings without attempting to reinterpret or expand on them, which means his accounts are often closer to the primary sources. Due to the loss of so many of the primary sources on whic ...
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Metaphysics
Metaphysics is the branch of philosophy that studies the fundamental nature of reality, the first principles of being, identity and change, space and time, causality, necessity, and possibility. It includes questions about the nature of consciousness and the relationship between mind and matter, between substance and attribute, and between potentiality and actuality. The word "metaphysics" comes from two Greek words that, together, literally mean "after or behind or among he study ofthe natural". It has been suggested that the term might have been coined by a first century CE editor who assembled various small selections of Aristotle's works into the treatise we now know by the name ''Metaphysics'' (μετὰ τὰ φυσικά, ''meta ta physika'', 'after the ''Physics'' ', another of Aristotle's works). Metaphysics studies questions related to what it is for something to exist and what types of existence there are. Metaphysics seeks to answer, in an abstract and fu ...
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