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Leibniz, Information, Math and Physics

by: G. J. Chaitin
(21 Jun 2003)

X Abstract

The information-theoretic point of view proposed by Leibniz in 1686 and developed by algorithmic information theory (AIT) suggests that mathematics and physics are not that different. This will be a first-person account of some doubts and speculations about the nature of mathematics that I have entertained for the past three decades, and which have now been incorporated in a digital philosophy paradigm shift that is sweeping across the sciences.

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arXiv (abstract), arXiv (PDF)

This article has been bookmarked once, on 2005-09-22.

2005-09-22 User ChaTo , 1 note

Explains AIT, Leibniz's assertion that "the notion of law becomes empty when an arbitrary complication is permitted" (if the formula is very simple, and the data is very complex, that's a real law).

"Every mind has an horizon in respect to its present intellectual capacity but not in respect to its future intellectual capacity"

"God has chosen that which is the most simple in hypotheses and the most rich in phenomena"


2005-09-22 14:16:39
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