Monthly Archives: January 2014

All bets are off, to disprove the strong physical Church-Turing Thesis (foundations of probability, digital physics and Laplacian determinism 3)

(continued from previous post) Let H0 be the hypothesis: `the real world is non-computable’ (popularly speaking, see previous post), and H1 be PCTT+ (also see the previous post). For comparison we introduce the hypothesis H2: `the real world produces only … Continue reading

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An experiment to (dis)prove the strong physical Church-Turing Thesis (foundations of probability, digital physics and Laplacian determinism 2)

There seems to be a pervasive role of `information’ in probability, entropy and hence in physics. But the precise nature of this role escapes me, I’m afraid. I may have said before somewhere in this thread that I do not … Continue reading

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Foundations of probability, digital physics and Laplacian determinism

In this thread of posts from 2012, the possibility of drawing a natural number at random was discussed. In the previous post I rediscussed an entropy-related solution giving relative chances. This solution also explains Benford’s law. In the 2012 thread, … Continue reading

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An entropy-related derivation of Benford’s law

In this thread of posts from 2012, the possibility of drawing a natural number at random was discussed. A solution offering relative chances was given, and stated to be in accordance with Benford’s law. Then, due to unforeseen circumstances, the … Continue reading

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