A SOLUTION TO THE SURPRISE EXAM PARADOX IN CONSTRUCTIVE MATHEMATICS

作者:Ardeshir Mohammad*; Ramezanian Rasoul
来源:Review of Symbolic Logic, 2012, 5(4): 679-686.
DOI:10.1017/S1755020312000160

摘要

We represent the well-known surprise exam paradox in constructive and computable mathematics and offer solutions. One solution is based on Brouwer%26apos;s continuity principle in constructive mathematics, and the other involves type 2 Turing computability in classical mathematics. We also discuss the backward induction paradox for extensive form games in constructive logic.

  • 出版日期2012-12