Info iconThis preview shows page 1. Sign up to view the full content.

View Full Document Right Arrow Icon
This is the end of the preview. Sign up to access the rest of the document.

Unformatted text preview: ral problems and consequences David Hilbert David Hilbert famous mathematician 23 problems founder of “metamathematics” goal to “mechanize” mathematics Kurt Gödel Kurt G Logician Proved in 1931…(age 25) “there are true propositions that there cannot be proved” (i.e., “no” to Hilbert’s program) Hilbert’s Shook the foundations of – – – – mathematics philosophy science everything Alan Turing Alan Turing British Mathematician Seminal work in Computation, AI, Cryptanalysis Subject of several books, movies A Halting Problem A Halting Problem x = input (“please enter a positive number) WHILE x > 1: IF x is even: x = x/2 ELSE: x = 3x + 1 The Halting Problem The Halting Problem Given: Program, Input to program Does the program on the input ever halt? Critical question that...
View Full Document

This document was uploaded on 04/02/2014.

Ask a homework question - tutors are online