Picture 1 of 1
Stock photo
Picture 1 of 1
Stock photo
On the Brink of Paradox : Highlights from the Intersection of Philosophy and Mathematics by Agustin Rayo (2019, Hardcover)
bellwetherbooks_usa (207384)
99.7% positive feedback
Price:
US $25.30
(inclusive of GST)
ApproximatelyS$ 32.56
+ $22.67 shipping
Returns:
30 days return. Buyer pays for return shipping. If you use an eBay shipping label, it will be deducted from your refund amount.
Condition:
Oops! Looks like we're having trouble connecting to our server.
Refresh your browser window to try again.
About this product
Product Identifiers
PublisherMIT Press
ISBN-100262039419
ISBN-139780262039413
eBay Product ID (ePID)22038746073
Product Key Features
Number of Pages320 Pages
LanguageEnglish
Publication NameOn the Brink of Paradox : Highlights from the Intersection of Philosophy and Mathematics
Publication Year2019
SubjectGeneral, Study & Teaching, Logic
TypeTextbook
AuthorAgustin Rayo
Subject AreaMathematics, Philosophy
FormatHardcover
Dimensions
Item Height0.9 in
Item Weight23.6 Oz
Item Length9.2 in
Item Width7.3 in
Additional Product Features
Intended AudienceTrade
LCCN2018-023088
Dewey Edition23
ReviewsOn the Brink of Paradox is a surprisingly delightful read. The book contains an amazing amount of accesible material even to college mathematics majors, while offering value or review for mathematicians, but never in a stale way.-- Mathematical Association of America --
IllustratedYes
Dewey Decimal510
SynopsisAn 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 G del'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., 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 G del'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.
LC Classification NumberQA11.2.R39 2019
All listings for this product
Be the first to write a review
