I'll tell the dramatic story of the recent disputes over the foundations of mathematics. I'll start with the problems in Cantor's theory of infinite sets and then discuss the work... Watch Video
... Watch Video
I will discuss Leibniz's ideas on complexity (Discours de metaphysique, 1686), leading to modern work on program-size complexity, the halting probability and incompleteness. Leibniz... Watch Video
This is an ultra short interview where the posed question is the one that even Gottfried Wilhelm Leibniz posed to himself "What is the pattern" and what research did Gregory... Watch Video
Information, Complexity, Patterns, Randomness and Compression. And how these ideas can be traced back through Hermann Weyl to Leibniz in 1686, and connect them with Godel & Turing... Watch Video
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