On the Brink of Paradox - Highlights from the Intersection of Philosophy and Mathematics Rayo AgustinPevná vazba
On the Brink of Paradox - Highlights from the Intersection of Philosophy and Mathematics Rayo AgustinPevná vazba An introduction to awe-inspiring ideas at the brink of paradox: infinities of…
Specifikacia On the Brink of Paradox - Highlights from the Intersection of Philosophy and Mathematics Rayo AgustinPevná vazba
On the Brink of Paradox - Highlights from the Intersection of Philosophy and Mathematics Rayo AgustinPevná vazba
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. 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. 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 philosophical content requires a mind attuned to subtlety; the most demanding of the mathematical ideas require familiarity with college-level