TY  - BOOK
AU  - Rayo, Agustín
TI  - On the brink of paradox : : highlights from the intersection of philosophy and mathematics
SN  - 9780262039413
U1  - 510  
PY  - 2019///
CY  - USA
PB  - MIT Press
KW  - Mathematics
KW  - Logic, Symbolic and mathematical
KW  - Paradoxes
N2  - 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
ER  -