The Infinite Tortoise

The Infinite Tortoise

Author: Joel Levy

Publisher: Michael O'Mara Books

Published: 2016-09-29

Total Pages: 189

ISBN-13: 1782436383

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A clear, concise and fascinating guide to philosophical thought experiments and how they've shaped our understanding of the world.


What the Tortoise Said to Achilles

What the Tortoise Said to Achilles

Author: Lewis Carroll

Publisher: Lindhardt og Ringhof

Published: 2021-09-06

Total Pages: 9

ISBN-13: 8726645726

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When a tortoise challenges a great Greek hero to use his logic in order to decipher a simple philosophical argument, slight chaos ensues. ‘What the Tortoise Said to Achilles’ is an endless cycle of suppositions and deductions. A refined piece of philosophical writing, Caroll’s discussion was one of the first steps towards paradoxically explaining logical truth. His clever prose makes this novel an essential read for budding philosophers and logic aficionados. Lewis Caroll (1832-1898) was a British author. He was famed for his novel ‘Alice in Wonderland' and its sequel ‘Through the Looking-Glass’. Both of which have been successfully adapted to film and stage. Aside from this, he was also a mathematician, professional photographer, and clergyman. His colorful plotlines, powerful imagery, and endless imagination earned him the title of one of the most notable authors of the nineteenth century. Among his other notable works are the poetic collection "Phantasmagoria and Other Poems", the poem "The Hunting of the Snark", and the fairy novel "Sylvie and Bruno".


The Tortoise and Achilles

The Tortoise and Achilles

Author: Larry Ottman

Publisher:

Published: 2011-02

Total Pages: 132

ISBN-13: 9781882564248

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Calculus is the study of the infinite and since much of secondary mathematics is designed to prepare one for the study of calculus, wrestling with the ideas of the infinite, even if informally, is extremely important for a student's mathematical development. That is the purpose of this book. Among the first to discuss these ideas was the Greek philosopher / mathematician Zeno, and not long after him, Archimedes came the closest to "discovering" Calculus without the tools of modern mathematics. Though none of Zeno's actual writings survive, Aristotle recorded accounts of Zeno's thoughts on the infinite, time and space in what have come to be known as Zeno's Paradoxes. One of those specifically involves the idea of a race in which a slower runner is given a head start and investigates the possibilities of the faster runner "catching up." This has come to be known as "Achilles and the Tortoise." These characters are our hosts as we use Geometry Expressions to investigate Archimedes methods, ideas of the infinite, and Zeno's Paradoxes in an introduction to Calculus, without using Calculus.


The Infinite Book

The Infinite Book

Author: John D. Barrow

Publisher: Vintage

Published: 2007-12-18

Total Pages: 293

ISBN-13: 0307428761

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For a thousand years, infinity has proven to be a difficult and illuminating challenge for mathematicians and theologians. It certainly is the strangest idea that humans have ever thought. Where did it come from and what is it telling us about our Universe? Can there actually be infinities? Is matter infinitely divisible into ever-smaller pieces? But infinity is also the place where things happen that don't. All manner of strange paradoxes and fantasies characterize an infinite universe. If our Universe is infinite then an infinite number of exact copies of you are, at this very moment, reading an identical sentence on an identical planet somewhere else in the Universe. Now Infinity is the darling of cutting edge research, the measuring stick used by physicists, cosmologists, and mathematicians to determine the accuracy of their theories. From the paradox of Zeno’s arrow to string theory, Cambridge professor John Barrow takes us on a grand tour of this most elusive of ideas and describes with clarifying subtlety how this subject has shaped, and continues to shape, our very sense of the world in which we live. The Infinite Book is a thoroughly entertaining and completely accessible account of the biggest subject of them all–infinity.


The Motion Paradox

The Motion Paradox

Author: Joseph Mazur

Publisher: Penguin

Published: 2007

Total Pages: 278

ISBN-13: 9780525949923

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Traces the epic history of Greek philosopher Zeno's yet-unsolved paradox of motion, citing the contributions of top minds to the scientific community's understanding of the elusive basic structure of time and space.


The Riddle of the Infinite or Ananta

The Riddle of the Infinite or Ananta

Author: Jayant Burde

Publisher: Motilal Banarsidass

Published: 2019

Total Pages: 189

ISBN-13: 8120841689

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This book explores the bizarre but fascinating world of infinity in different disciplines of knowledge; mathematics, science, philosophy and religion. It projects the views of eastern as well as western scholars. This world is not only mysterious but also treacherous and conceals many conundrums such as a multitude of infinities, the mystic's experience of the infinite, conception of God as absolute infinity. The author also discusses many paradoxes relating to space and time. It is interesting to discover that some eastern philosophies try to reconcile two opposite concepts of sunya (zero) and Ananta (the infinite). The author also ventures to address a difficult question: Does infinity exist as a physical reality?


Great Ideas V the Perpetual Race of Achilles and the Tortoise

Great Ideas V the Perpetual Race of Achilles and the Tortoise

Author: Jorge Luis Borges

Publisher: National Geographic Books

Published: 2010-09-21

Total Pages: 0

ISBN-13: 0141192941

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In this collection of wise, witty and fascinating essays, Borges discusses the existence (or non-existence) of Hell, the flaws in English literary detectives, the philosophy of contradictions, and the many translators of 1001 Nights. Varied and enthralling, these pieces examine the very nature of our lives, from cinema and books to history and religion. GREAT IDEAS. Throughout history, some books have changed the world. They have transformed the way we see ourselves - and each other. They have inspired debate, dissent, war and revolution. They have enlightened, outraged, provoked and comforted. They have enriched lives - and destroyed them. Now Penguin brings you the works of the great thinkers, pioneers, radicals and visionaries whose ideas shook civilization and helped make us who we are.


Practical Tortoise Raising

Practical Tortoise Raising

Author: Simon Blackburn

Publisher: Oxford University Press

Published: 2010-09-30

Total Pages: 349

ISBN-13: 0199548056

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Simon Blackburn presents a selection of his philosophical essays from 1995 to 2010. He offers engaging and illuminating discussions of a wide range of topics, including moral philosophy, the theory of meaning, pragmatism, and the theory of reason and reasoning.


Plato's Parmenides

Plato's Parmenides

Author: Samuel Scolnicov

Publisher: Univ of California Press

Published: 2003-07-08

Total Pages: 207

ISBN-13: 0520925114

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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.


The Infinite Resource

The Infinite Resource

Author: Ramez Naam

Publisher: UPNE

Published: 2013

Total Pages: 362

ISBN-13: 1611683769

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A surprising, convincing, and optimistic argument for meeting the crisis of scarcity with the power of ideas