000 01440nam a2200181Ia 4500
008 210916s9999 xx 000 0 und d
020 _a9780262039413
082 _a510
_bRAY
100 _aRayo, Agustín
_96306
245 0 _aOn the brink of paradox :
_bhighlights from the intersection of philosophy and mathematics
260 _aUSA
_bMIT Press
_c2019
300 _a302p.
520 _aAn 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.
650 _aMathematics
_9435
650 _aLogic, Symbolic and mathematical
_93534
650 _aParadoxes
_96307
942 _cBK
999 _c6358
_d6358