![]() “The mathematically provable idea that something exists but is unknowable has clear philosophical and theological implications.” But we can prove that even though Chaitin’s number exists, we can also prove it is unknowable. It’s a feature of your computer programming language. If you write programs in C++, Python, or Matlab, your computer language has a Chaitin number. ![]() ![]() Marks): “Chaitin’s number is an intellectually stunning piece of mathematics, ranking with Cantor’s model of the infinite and Shannon’s theory of information in terms of mind-bending brilliance. Note: To get some sense of Chaitin’s work, see “Things exist that are unknowable: A tutorial on Chaitin’s number” (Robert J. Professor Chaitin is also the recipient of a handful of honorary doctorates and a medallion for his landmark work. Professor Chaitin is a co-founder of the Field of Algorithmic Information Theory that explores the properties of computer programs. We are really fortunate today to talk to Gregory Chaitin (pictured) who has that distinction. Marks: There are few people who can be credited without any controversy with the founding of a game changing field of mathematics. ![]()
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