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Description On the Brink of Paradox: Highlights from the Intersection of Philosophy and Mathematics (The MIT Press)
An introduction to awe-inspiring ideas at the brink of paradox: infinities of different sizes, time travel, probability and measure theory, and computability theory.This book introduces the reader to awe-inspiring issues at the intersection of philosophy and mathematics. It explores ideas at the brink of paradox: infinities of different sizes, time travel, probability and measure theory, computability theory, the Grandfather Paradox, Newcomb's Problem, the Principle of Countable Additivity. The goal is to present some exceptionally beautiful ideas in enough detail to enable readers to understand the ideas themselves (rather than watered-down approximations), but without supplying so much detail that they abandon the effort. The philosophical content requires a mind attuned to subtlety; the most demanding of the mathematical ideas require familiarity with college-level mathematics or mathematical proof.The book covers Cantor's revolutionary thinking about infinity, which leads to the result that some infinities are bigger than others; time travel and free will, decision theory, probability, and the Banach-Tarski Theorem, which states that it is possible to decompose a ball into a finite number of pieces and reassemble the pieces so as to get two balls that are each the same size as the original. Its investigation of computability theory leads to a proof of Gödel's Incompleteness Theorem, which yields the amazing result that arithmetic is so complex that no computer could be programmed to output every arithmetical truth and no falsehood. Each chapter is followed by an appendix with answers to exercises. A list of recommended reading points readers to more advanced discussions. The book is based on a popular course (and MOOC) taught by the author at MIT.
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On the Brink of Paradox / The MIT Press ~ An introduction to awe-inspiring ideas at the brink of paradox: infinities of different sizes, time travel, probability and measure theory, and computability theory. This book introduces the reader to awe-inspiring issues at the intersection of philosophy and mathematics. It explores ideas at the brink of paradox: infinities of different sizes, time travel, probability and measure theory .
On the Brink of Paradox: Highlights from the Intersection ~ On the Brink of Paradox: Highlights from the Intersection of Philosophy and Mathematics - Kindle edition by Rayo, Agustin. Download it once and read it on your Kindle device, PC, phones or tablets. Use features like bookmarks, note taking and highlighting while reading On the Brink of Paradox: Highlights from the Intersection of Philosophy and Mathematics.
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[PDF] On The Brink Of Paradox Full Download-BOOK ~ Author: Agustin Rayo Publisher: MIT Press ISBN: 0262351382 Size: 49.53 MB Format: PDF, ePub, Docs View: 513 Get Books. On The Brink Of Paradox On The Brink Of Paradox by Agustin Rayo, On The Brink Of Paradox Books available in PDF, EPUB, Mobi Format. Download On The Brink Of Paradox books, An introduction to awe-inspiring ideas at the brink of paradox: infinities of different sizes, time .
On the brink of paradox : highlights from the intersection ~ Get this from a library! On the brink of paradox : highlights from the intersection of philosophy and mathematics. [AgustĂn Rayo; Damien Rochford] -- An introduction to awe-inspiring ideas at the brink of paradox: infinities of different sizes, time travel, probability and measure theory, and computability theory.
On the Brink of Paradox: Highlights from the Intersection ~ An introduction to awe-inspiring ideas at the brink of paradox: infinities of different sizes, time travel, probability and measure theory, and computability theory.This book introduces the reader to awe-inspiring issues at the intersection of philosophy and mathematics. It explores ideas at the brink of paradox: infinities of different sizes, time travel, probability and measure theory .
On the Brink of Paradox / The MIT Press ~ This book introduces the reader to awe-inspiring issues at the intersection of philosophy and mathematics. It explores ideas at the brink of paradox: infinities of different sizes, time travel, probability and measure theory, computability theory, the Grandfather Paradox, Newcomb's Problem, the Principle of Countable Additivity.
The MIT Press: free download. Ebooks library. On-line ~ The world's largest ebook library . General Search; . On the Brink of Paradox: Highlights from the Intersection of Philosophy and Mathematics (The MIT Press) The MIT Press. AgustĂn Rayo. Year: 2019. Language: english. File: EPUB, 6.24 MB. 212.
On the Brink of Paradox: Highlights from the Intersection ~ On the Brink of Paradox: Highlights from the Intersection of Philosophy and Mathematics (English Edition) eBook: Rayo, Agustin: .nl: Kindle Store Selecteer uw cookievoorkeuren We gebruiken cookies en vergelijkbare tools om uw winkelervaring te verbeteren, onze services aan te bieden, te begrijpen hoe klanten onze services gebruiken zodat .
AgustĂn Rayo / The MIT Press ~ On the Brink of Paradox. Highlights from the Intersection of Philosophy and Mathematics. AgustĂn Rayo 2019. An introduction to awe-inspiring ideas at the brink of paradox: infinities of different sizes, time travel, probability and measure theory, and computability theory. This book introduces the reader to awe-inspiring issues at the intersection of philosophy and mathematics.
On the Brink of Paradox by Agustin Rayo: 9780262039413 ~ About On the Brink of Paradox. An introduction to awe-inspiring ideas at the brink of paradox: infinities of different sizes, time travel, probability and measure theory, and computability theory. This book introduces the reader to awe-inspiring issues at the intersection of philosophy and mathematics.
On the Brink of Paradox: Highlights from the Intersection ~ This award-winning book introduces the reader to awe-inspiring issues at the intersection of philosophy and mathematics. It explores ideas at the brink of paradox: infinities of different sizes, time travel, probability and measure theory, computability theory, the Grandfather Paradox, Newcomb's Problem, the Principle of Countable Additivity.
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[PDF] Paradoxes In Mathematics / Download Full eBooks for Free ~ Exploring more than seventy-five well-known paradoxes in mathematics, philosophy, physics, and the social sciences showing how reason and logic can dispel the illusion of contradiction. Paradox is a sophisticated kind of magic trick. A magician's purpose is to create the appearance of impossibility, to pull a rabbit from an empty hat.
Paradox and Infinity - MIT OpenCourseWare ~ On the Brink of Paradox: Highlights from the Intersection of Philosophy and Mathematics. MIT Press, 2019. ISBN: 9780262039413. [Preview with Google Books] The following document should also be utilized: On the Brink of Paradox: List of Known Errors (PDF).
On the Brink of Paradox by Agustin Rayo / Waterstones ~ This book introduces the reader to awe-inspiring issues at the intersection of philosophy and mathematics. It explores ideas at the brink of paradox: infinities of different sizes, time travel, probability and measure theory, computability theory, the Grandfather Paradox, Newcomb's Problem, the Principle of Countable Additivity.
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Agustin Rayo wins 2020 PROSE Award / PressReleasePoint ~ Among the winners is âOn the Brink of Paradox: Highlights from the Intersection of Philosophy and Mathematicsâ (MIT Press, 2019) by AgustĂn Rayo, author and professor of philosophy at MIT. The book won for the textbook/humanities category.
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