The Limits of Mathematics

A Course on Information Theory and the Limits of Formal Reasoning

Gregory J. Chaitin (Autor)

Buch | Hardcover

160 Seiten

1997
Springer Verlag, Singapore
978-981-3083-59-2 (ISBN)

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Final version of a course on algorithmic information theory and the epistemology of mathematics and physics. The book presents a "hands on" didactic approach using LISP and Mathematica software, enabling the reader to derive an understanding of the relationship between mathematics and physics.

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.

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.

Reihe/Serie	Discrete Mathematics and Theoretical Computer Science
Zusatzinfo	1 colour figure
Verlagsort	Singapore
Sprache	englisch
Themenwelt	Informatik ► Grafik / Design ► Digitale Bildverarbeitung
	Mathematik / Informatik ► Informatik ► Programmiersprachen / -werkzeuge
	Informatik ► Theorie / Studium ► Algorithmen
	Mathematik / Informatik ► Mathematik ► Analysis
	Mathematik / Informatik ► Mathematik ► Logik / Mengenlehre
	Mathematik / Informatik ► Mathematik ► Wahrscheinlichkeit / Kombinatorik
ISBN-10	981-3083-59-X / 981308359X
ISBN-13	978-981-3083-59-2 / 9789813083592
Zustand	Neuware