Tag Archives: foundations of probability theory
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
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
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
Drawing a natural number at random, foundations of probability, determinism, Laplace (2)
I probably 😉 chewed off more than I can swallow, certainly in one go… Still, my general lack of proficiency in probability theory should -I believe- not preclude me from asking certain questions, and offering uncertain answers. Like I stated … Continue reading
Drawing a natural number at random, foundations of probability, determinism, Laplace (1)
The question whether the question `How to draw a natural number at random?’ can make sense, has been occupying a very small part of my curiosity for a long time. This started actually already in Probability 101 (by which I … Continue reading
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