By Gregory J. Chaitin

This ebook is the ultimate model of a path on algorithmic info concept and the epistemology of arithmetic and physics. It discusses Einstein and Goedel's perspectives at the nature of arithmetic within the gentle of knowledge conception, and sustains the thesis that arithmetic is quasi-empirical. there's a foreword by way of Cris Calude of the collage of Auckland, and supplementary fabric is on the market on the author's site. The distinctive function of this publication is that it offers a brand new "hands on" didatic method utilizing LISP and Mathematica software program. The reader should be in a position to derive an knowing of the shut courting among arithmetic and physics. "The Limits of Mathematics is a really own and idiosyncratic account of Greg Chaitin's whole occupation in constructing algorithmic info thought. the mix of the edited transcripts of his 3 introductory lectures continues the entire power and content material of the oral shows, whereas the fabric on AIT itself supplies an entire rationalization of the way to enforce Greg's rules on genuine pcs should you are looking to attempt their hand at furthering the theory." John Casti, Santa Fe Institute

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