THE LIMITS OF MATHEMATICS.: A course on information theory and the limits of formal reasoning - Rilegato

Chaitin, Gregory-J

Rilegato

ISBN 10: 981308359X ISBN 13: 9789813083592

Casa editrice: Springer Verlag Singapour, 1997

Riassunto

This text is the final version of a course on algorithmic information theory and the epistemology of mathematics and physics. It discusses Einstein and Goedel's views on the nature of mathematics in the light of information theory, and sustains the thesis that mathematics is quasi-empirical. The book presents a "hands on" didatic approach using LISP and Mathematica software, and the reader should be able to derive an understanding of the close relationship between mathematics and physics.

Su questo libro

Recensione

"...a very personal and idiosyncratic account of Greg Chaitins entire career in developing algorithmic information theory. The combination of the edited transcripts of his three introductory lectures maintains all the energy and content of the oral presentations, while the material on AIT itself gives a full explanation of how to implement Gregs ideas on real computers ..." John Casti, Santa Fe Institute

Contenuti

The Decline and Fall of Reductionalism.- Elegant LISP Programs.- An Invitation to Algorithmic Information Theory.- The Limits of Mathematics: examples.r, utm.r, godel2.r, omega.r, omega2.r, omega3.r, godel3.r.- Appendix: LISP interpreter in Mathematica.

Dettagli dell'edizione

• Editore: Springer Verlag Singapour
• Data di pubblicazione: 1997
• Lingua: Inglese
• ISBN 10: 981308359X
• ISBN 13: 9789813083592
• Rilegatura: Copertina rigida
• Numero edizione: 1
• Numero di pagine: 160
• Contatto del produttore: non disponibile
• Persona responsabile: CMN Printpool Inh. Mathis Neumann; https://www.also.com/ec/cms5/en_6000/6000/index.jsp; ; Friedrich-Karl-Str. 9; Hamburg; Germania