24.118 Paradox & Infinity, Spring 2013
Author(s) •
Rayo, Agustin
Evans, Owain R.
Alternative Title
Paradox & Infinity
Date Issued
June 2013
Abstract
This course explores different kinds of infinity; the paradoxes of set theory; the reduction of arithmetic to logic; formal systems; paradoxes involving the concept of truth; Gödel’s incompleteness theorems; the nonformalizable nature of mathematical truth; and Turing machines.
Subjects
time travel
free will
Newcomb
Newcomb's Paradox
probability
Zeno
Zeno's Paradox
infinity
axiom of choice
computability
Godel
Godel's theorem
prisoner's dilemma
higher infinite
MIT Department
Massachusetts Institute of Technology. Department of Linguistics and Philosophy
Terms of Use
This site (c) Massachusetts Institute of Technology 2019. Content within individual courses is (c) by the individual authors unless otherwise noted. The Massachusetts Institute of Technology is providing this Work (as defined below) under the terms of this Creative Commons public license ("CCPL" or "license") unless otherwise noted. The Work is protected by copyright and/or other applicable law. Any use of the work other than as authorized under this license is prohibited. By exercising any of the rights to the Work provided here, You (as defined below) accept and agree to be bound by the terms of this license. The Licensor, the Massachusetts Institute of Technology, grants You the rights contained here in consideration of Your acceptance of such terms and conditions.
Persistent DSpace Link