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A reprint of the Bobbs-Merrill edition of 1970.

These essays lead the reader through the land of the wonderful shrinking genie to the warehouse where the "infinity machines" are kept. By careful examination of a lamp that is switched on and off infinitely many times, or the workings of a machine that prints out an infinite decimal expansion of pi, we begin to understand how it is possible for Achilles to overtake the tortoise. The concepts that form the basis of modern science-space, time, motion, change, infinity-are examined and explored in this edition. Includes an updated bibliography. ... Read more

Customer Reviews (2)

Great Investigation of the Notion of Infinity
I really enjoyed this book.It's a great survey of the notion of infinity, and the quality of the prose is, for the most part, very good.I would definitely recommend this book to anyone interested in philosophy, mathematics, or the history of thought.

Good Survey of Modern Reaction
This is a great introduction to the modern reaction to Zeno's paradoxes. The most important articles from Russell to the debates on infinity machines are included. The bibliography, at over 200 works, is the best I've seen. There is a mathematical bent to most of the articles, usually in the form of questions of infinity, or measure theory. Nonetheless, there are articles by philosophers who reject the idea of a completed infinity. I did a semester-long college project on Zeno's paradoxes, focusing on mathematical implications, and this was the most useful sourcebook by far. ... Read more

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Chapters: Ancient Eleates, Ancient Metapontines, Parmenides, Zeno of Elea, Hippasus, Aesara, Asteas, Ocellus Lucanus, Aulus Licinius Archias. Source: Wikipedia. Pages: 37. Not illustrated. Free updates online. Purchase includes a free trial membership in the publisher's book club where you can select from more than a million books without charge. Excerpt: Aesara of Lucania (or Aisara, Greek: ; 4th or 3rd century BC) was a Pythagorean philosopher, who wrote a work On Human Nature, of which a fragment is preserved by Stobaeus. Nothing is known about the life of Aesara, she is known only from a one-page fragment of her philosophical work entitled On Human Nature preserved by Stobaeus. Lucania, where she came from, was an ancient district of southern Italy and part of Magna Graecia where many Pythagorean communities existed. It has been conjectured that her name is a variation on the name Aresa, who, according to one minor tradition, was a daughter of Pythagoras and Theano. A male writer from Lucania called Aresas is also mentioned by Iamblichus in his Life of Pythagoras. On Human Nature is written in the Doric prose characteristic of the 3rd century BC or earlier, although that doesn't exclude the possibility that it was written later in an archaic style. It has been argued that the fragment is a Neopythagorean forgery dating from the Roman era, although this at least implies that there was an earlier Pythagorean called Aesara of Lucania worth imitating. It has also been suggested that the fragment is pseudonymous, and comes from a textbook produced by one of the dissenting successor schools to Archytas of Tarentum in Italy in the 4th or 3rd century BC. In the absence of any strong evidence supporting either hypothesis, there is no reason to suppose that the fragment was not written by a woman philosopher called Aesara in the 4th or 3rd centuries BC. Aesara argues that it is by studying our own human nature (and specifically th...More: http://booksllc.net/?id=611036 ... Read more

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In the 5th century BC Zeno of Elea propounded four arguments about motion leading to paradoxical propositions: that a finite distance cannot be traversed by a moving object, that a faster runner cannot overtake a slower one. that an arrow flight is at rest, that half a given time is equal to the whole. These paradoxes were intended as support for the doctrine of Parmenides that all apparent motion is illusory, and of the attempts that have been made to show wherein they are fallacious none has met with universal acceptance. In this work solutions are suggested for the first three paradoxes. There is an exposition of the atomic theory of space and time which has been thought to underlie the fourth, and attempts which some commentators have made to explain the fourth on that basis are examined. ... Read more

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Zeno of Eleawas a pre-Socratic Greek philosopher of southern Italy and a member of the Eleatic School founded by Parmenides. Aristotle called him the inventor of the dialectic. He is best known for his paradoxes, which Bertrand Russell has described as "immeasurably subtle and profound".Little is known for certain about Zeno's life. Although written nearly a century after Zeno's death, the primary source of biographical information about Zeno is the dialogue of Plato called the Parmenides. In the dialogue, Plato describes a visit to Athens by Zeno and Parmenides, at a time when Parmenides is "about 65," Zeno is "nearly 40" (Parmenides 127b) and Socrates is "a very young man" (Parmenides 127c). Assuming an age for Socrates of around 20, and taking the date of Socrates' birth as 470 BC, gives an approximate date of birth for Zeno of 490 BC. ... Read more

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This digital document is an article from Science and Its Times, brought to you by Gale®, a part of Cengage Learning, a world leader in e-research and educational publishing for libraries, schools and businesses.The length of the article is 678 words.The article is delivered in HTML format and is available in your Amazon.com Digital Locker immediately after purchase.You can view it with any web browser.The histories of science, technology, and mathematics merge with the study of humanities and social science in this interdisciplinary reference work. Essays on people, theories, discoveries, and concepts are combined with overviews, bibliographies of primary documents, and chronological elements to offer students a fascinating way to understand the impact of science on the course of human history and how science affects everyday life. Entries represent people and developments throughout the world, from about 2000 B.C. through the end of the twentieth century. ... Read more

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Chapters: 430 Bc Deaths, Empedocles, Zeno of Elea. Source: Wikipedia. Pages: 22. Not illustrated. Free updates online. Purchase includes a free trial membership in the publisher's book club where you can select from more than a million books without charge. Excerpt: Empedocles (Ancient Greek: ; ca. 490430 BC) was a Greek pre-Socratic philosopher and a citizen of Agrigentum, a Greek city in Sicily. Empedocles' philosophy is best known for being the origin of the cosmogenic theory of the four Classical elements. He also proposed powers called Love and Strife which would act as forces to bring about the mixture and separation of the elements. These physical speculations were part of a history of the universe which also dealt with the origin and development of life. Influenced by the Pythagoreans, he supported the doctrine of reincarnation. Empedocles is generally considered the last Greek philosopher to record his ideas in verse. Some of his work still survives today, more so than in the case of any other Presocratic philosopher. Empedocles' death was mythologized by ancient writers, and has been the subject of a number of literary treatments. The temple of Hera at Agrigentum, built when Empedocles was a young man, c. 470 BC.Empedocles was born, c. 490 BC, at Agrigentum (Acragas) in Sicily to a distinguished family. Very little is known about his life. His father Meto seems to have been instrumental in overthrowing the tyrant of Agrigentum, presumably Thrasydaeus in 470 BC. Empedocles continued the democratic tradition of his house by helping to overthrow the succeeding oligarchic government. He is said to have been magnanimous in his support of the poor; severe in persecuting the overbearing conduct of the aristocrats; and he even declined the sovereignty of the city when it was offered to him. His brilliant oratory, his penetrating knowledge of nature, and the reputation of his marvellous powers, including the curing of disease...More: http://booksllc.net/?id=9553 ... Read more

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Chapters: Parmenides, Zeno of Elea. Source: Wikipedia. Pages: 22. Not illustrated. Free updates online. Purchase includes a free trial membership in the publisher's book club where you can select from more than a million books without charge. Excerpt: Parmenides of Elea (Greek: ; fl. early 5th century BCE) was an ancient Greek philosopher born in Elea, a Greek city on the southern coast of Italy. He was the founder of the Eleatic school of philosophy. The single known work of Parmenides is a poem which has survived only in fragmentary form. In this poem, Parmenides describes two views of reality. In The Way of Truth (a part of the poem), he explains how reality is one, change is impossible, and existence is timeless, uniform, and unchanging. In The Way of Opinion, he explains the world of appearances, which is false and deceitful. These thoughts strongly influenced Plato, and through him, the whole of Western philosophy. Parmenides was born in the Greek colony of Elea (now Ascea), which, according to Herodotus, had been founded shortly before 535 BCE. He was descended from a wealthy and illustrious family. His dates are uncertain; according to Diogenes Laërtius, he flourished just before 500 BCE, which would put his year of birth near 540 BCE, but Plato has him visiting Athens at the age of 65, when Socrates was a young man, c. 450 BCE, which, if true, suggests a year of birth of c. 515 BCE. He was said to have been a pupil of Xenophanes, and regardless of whether they actually knew each other, Xenophanes' philosophy is the most obvious influence on Parmenides. Diogenes Laërtius also describes Parmenides as a disciple of "Ameinias, son of Diochaites, the Pythagorean"; but there are no obvious Pythagorean elements in his thought. The first hero cult of a philosopher we know of was Parmenides' dedication of a heroon to his teacher Ameinias in Elea. Parmenides was the founder of the School of Elea, which also included Zeno of El...More: http://booksllc.net/?id=23575 ... Read more

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Chapters: Parmenides, Empedocles, Dicaearchus, Aristoxenus, Zeno of Elea, Aristocles of Messene, Clinomachus,. Source: Wikipedia. Pages: 48. Not illustrated. Free updates online. Purchase includes a free trial membership in the publisher's book club where you can select from more than a million books without charge. Excerpt: Parmenides of Elea (Greek: ; fl. early 5th century BCE) was an ancient Greek philosopher born in Elea, a Greek city on the southern coast of Italy. He was the founder of the Eleatic school of philosophy. The single known work of Parmenides is a poem which has survived only in fragmentary form. In this poem, Parmenides describes two views of reality. In The Way of Truth (a part of the poem), he explains how reality is one, change is impossible, and existence is timeless, uniform, and unchanging. In The Way of Opinion, he explains the world of appearances, which is false and deceitful. These thoughts strongly influenced Plato, and through him, the whole of Western philosophy. Parmenides was born in the Greek colony of Elea (now Ascea), which, according to Herodotus, had been founded shortly before 535 BCE. He was descended from a wealthy and illustrious family. His dates are uncertain; according to Diogenes Laërtius, he flourished just before 500 BCE, which would put his year of birth near 540 BCE, but Plato has him visiting Athens at the age of 65, when Socrates was a young man, c. 450 BCE, which, if true, suggests a year of birth of c. 515 BCE. He was said to have been a pupil of Xenophanes, and regardless of whether they actually knew each other, Xenophanes' philosophy is the most obvious influence on Parmenides. Diogenes Laërtius also describes Parmenides as a disciple of "Ameinias, son of Diochaites, the Pythagorean"; but there are no obvious Pythagorean elements in his thought. The first hero cult of a philosopher we know of was Parmenides' dedication of a heroon to his teacher Ameinias in Elea. Parmenides ...http://booksllc.net/?id=23575 ... Read more

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Chapters: 430 Bc Deaths, 432 Bc Deaths, 436 Bc Deaths, 437 Bc Deaths, 439 Bc Deaths, Empedocles, Zeno of Elea, Zengcius, Cleostratus, Tissa of Sri Lanka, Spurius Maelius. Source: Wikipedia. Pages: 31. Not illustrated. Free updates online. Purchase includes a free trial membership in the publisher's book club where you can select from more than a million books without charge. Excerpt: Empedocles (Ancient Greek: ; ca. 490430 BC) was a Greek pre-Socratic philosopher and a citizen of Agrigentum, a Greek city in Sicily. Empedocles' philosophy is best known for being the origin of the cosmogenic theory of the four Classical elements. He also proposed powers called Love and Strife which would act as forces to bring about the mixture and separation of the elements. These physical speculations were part of a history of the universe which also dealt with the origin and development of life. Influenced by the Pythagoreans, he supported the doctrine of reincarnation. Empedocles is generally considered the last Greek philosopher to record his ideas in verse. Some of his work still survives today, more so than in the case of any other Presocratic philosopher. Empedocles' death was mythologized by ancient writers, and has been the subject of a number of literary treatments. The temple of Hera at Agrigentum, built when Empedocles was a young man, c. 470 BC.Empedocles was born, c. 490 BC, at Agrigentum (Acragas) in Sicily to a distinguished family. Very little is known about his life. His father Meto seems to have been instrumental in overthrowing the tyrant of Agrigentum, presumably Thrasydaeus in 470 BC. Empedocles continued the democratic tradition of his house by helping to overthrow the succeeding oligarchic government. He is said to have been magnanimous in his support of the poor; severe in persecuting the overbearing conduct of the aristocrats; and he even declined the sovereignty of the city when it was offered to him. His brilliant or...More: http://booksllc.net/?id=9553 ... Read more

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TAM1) - Cambridge - A text, with Translation and Notes - Contiene 125 páginas - Encuadernado en tela - Tapas poseen manchas de óxido - Buen estado ... Read more

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This digital document is an article from Encyclopedia of Philosophy, brought to you by Gale®, a part of Cengage Learning, a world leader in e-research and educational publishing for libraries, schools and businesses.The length of the article is 6654 words.The article is delivered in HTML format and is available in your Amazon.com Digital Locker immediately after purchase.You can view it with any web browser.Explores major marketing and advertising campaigns from 1999-2006. Entries profile recent print, radio, television, billboard and Internet campaigns. Each essay discusses the historical context of the campaign, the target market, the competition, marketing strategy, and the outcome. ... Read more

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"Parmenides" is generally recognized as Plato's most difficult dialogue. This work argues that the key to unlocking the puzzles of "Parmenides II" lies in the proper interpretive pairing of the eight hypotheses under which its arguments are grouped. ... Read more

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Of all Plato's dialogues, the Parmenides is notoriously the most difficult to interpret. Scholars of all periods have disagreed about its aims and subject matter. The interpretations have ranged from reading the dialogue as an introduction to the whole of Platonic metaphysics to seeing it as a collection of sophisticated tricks, or even as an elaborate joke. This work presents an illuminating new translation of the dialogue together with an extensive introduction and running commentary, giving a unified explanation of the Parmenides and integrating it firmly within the context of Plato's metaphysics and methodology.

Scolnicov shows that in the Parmenides Plato addresses the most serious challenge to his own philosophy: the monism of Parmenides and the Eleatics. In addition to providing a serious rebuttal to Parmenides, Plato here re-formulates his own theory of forms and participation, arguments that are central to the whole of Platonic thought, and provides these concepts with a rigorous logical and philosophical foundation. In Scolnicov's analysis, the Parmenides emerges as an extension of ideas from Plato's middle dialogues and as an opening to the later dialogues.

Scolnicov's analysis is crisp and lucid, offering a persuasive approach to a complicated dialogue. This translation follows the Greek closely, and the commentary affords the Greekless reader a clear understanding of how Scolnicov's interpretation emerges from the text. This volume will provide a valuable introduction and framework for understanding a dialogue that continues to generate lively discussion today. ... Read more