Abstract

In 1931, the great Austrian mathematician Kurt Godel proved “all consistent axiomatic formulations of number theory include undecidable propositions”. This discovery of Godel and its proof had enormous repercussions in mathematics and computer science. The proof hinged upon the writing of a self-referential mathematical statement, in the same way as the liar’s paradox — I am lying — is a self-referential statement. In this three-part article, we describe Godel’s discovery and his famous proof.

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