By Gregory J. Chaitin

This publication is the ultimate model of a direction on algorithmic details idea and the epistemology of arithmetic and physics. It discusses Einstein and Goedel's perspectives at the nature of arithmetic within the mild of data concept, 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 offered on the author's site. The designated characteristic of this booklet is that it provides a brand new "hands on" didatic technique utilizing LISP and Mathematica software program. The reader should be in a position to derive an realizing of the shut dating among arithmetic and physics. "The Limits of Mathematics is a truly own and idiosyncratic account of Greg Chaitin's complete profession in constructing algorithmic details idea. the mix of the edited transcripts of his 3 introductory lectures keeps all of the strength and content material of the oral displays, whereas the fabric on AIT itself supplies a whole clarification of the way to enforce Greg's rules on actual pcs should you are looking to try out their hand at furthering the theory." John Casti, Santa Fe Institute

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