Download or read book Undecidability and Randomness in Pure Mathematics written by International Business Machines Corporation. Research Division and published by . This book was released on 1989 with total page 7 pages. Available in PDF, EPUB and Kindle. Book excerpt: Abstract: "I have shown that God not only plays dice in physics, but even in pure mathematics, in elementary number theory, in arithmetic! My work is a fundamental extension of the work of Gödel and Turing on undecidability in pure mathematics. I show that not only does undecidability occur, but in fact sometimes there is complete randomness, and mathematical truth becomes a perfect coin toss. (This is a lecture that was given 28 September 1989 at the EUROPALIA 89 Conference on Self-Organization in Brussels. The lecture was filmed by EuroPACE; this is an edited transcript.)."