On the brink of paradox : highlights from the intersection of philosophy and mathematics

By:

Rayo, Agustín

Material type: Text

TextPublication details: USA MIT Press 2019Description: 302pISBN:

9780262039413

Subject(s):

DDC classification:

510 RAY

Summary: 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.

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Holdings
Item type	Current library	Collection	Call number	Status	Date due	Barcode
Book	Plaksha University Library	Mathematics	510 RAY (Browse shelf(Opens below))	Available		000974

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Previous	510 MAL S. Chands ICSE mathematics : book 2 class X	510 MEL Companion to concrete mathematics : two volumes bound as one	510 NAT Mathematics : textbook for class X	510 RAY On the brink of paradox : highlights from the intersection of philosophy and mathematics	510 STR The joy of X : a guided tour of mathematics, from one to infinity	510 STR The joy of X : a guided tour of mathematics, from one to infinity	510 STR The joy of X : a guided tour of mathematics, from one to infinity	Next

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.

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