Documents Incomputability, Undecidability and Nondeterminism: from formal systems to human minds Filippo...

Slide 1Incomputability, Undecidability and Nondeterminism: from formal systems to human minds Filippo Cacace Università Campus Biomedico, Roma [email protected] Ponte…

Documents Russell’s Paradox and the Halting Problem Lecture 24 Section 5.4 Wed, Feb 23, 2005.

Russell’s Paradox and the Halting Problem Lecture 24 Section 5.4 Wed, Feb 23, 2005 Trends Homework Trend 0% 10% 20% 30% 40% 50% 60% 70% 80% 90% 100% 1 2 3 4 Assignment…

Documents Russell’s Paradox and the Halting Problem

Set Theory Russell’s Paradox Let S = {A | A  A}. Let P(x) be the predicate “x  x.” Is S  S? If S  S, then S satisfies the predicate. So P(S) is true. But…