Ep 203: David Deutsch’s ”The Fabric of Reality” Chapter 10 ”The Nature of Mathematics” Part 4

Discussion on the fallibility of mathematics and the relationship between physics and mathematics. Exploring the nature of mathematics, including the irrationality of the square root of two and the abstract concept of 1. Shifting perspective from seeking ultimate truth to creating explanatory knowledge. The limitations of human knowledge and the importance of seeking knowledge over certainty. The inadequacy of traditional mathematical methods and the limitations of the Turing machine. Exploration of absolute necessary truth in mathematics and the role of proof in establishing mathematical propositions.