![]() ![]() 2 In the philosophy of science, according to Weyl, complexity is essential in understanding the concept of a law of nature. It is made up of lectures Weyl gave in 1932 at Yale University. His smaller book on philosophy is entitled The Open World. Weyl wrote on mathematics, general relativity, and quantum mechanics, as well as on art and philosophy. H ermann Weyl was both a mathematician and a mathematical physicist. ![]() In this area, as in so many others, Gottfried Leibniz put his finger on the basic issue. Mathematics contains a great deal of complexity. The main application of these concepts is in meta-mathematics, where one deals with incompleteness and the limits of pure thought. In this essay, my subject is conceptual complexity, the complexity of ideas. Leibniz, Discours de métaphysique, VI 1ī etween the physics of the very small (particle or high energy physics) and the physics of the very large (cosmology) lie complex systems like us. Mais quand une regle est fort composée, ce qui lui est conforme passe pour irregulier. ![]() Dieu a choisi celui qui est le plus parfait, c’est à dire celui qui est en même temps le plus simple en hypotheses, et le plus riche en phenomenes. ![]()
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