Tag Archives: random natural number
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 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 (6)
To illustrate what I mean with entropy (I’m not sure how well this corresponds with usual interpretations), let’s consider the throwing of a traditional die (marked with 1 through 6). It is seemingly borne out by experience that the odds … Continue reading
Drawing a natural number at random, foundations of probability, determinism, Laplace (5)
(I suddenly doubted the previous post, and had to look and think twice again. I discovered that I need to look more in detail at Benford’s law, because certain aspects of the relation between the solution of the previous post … Continue reading
Drawing a natural number at random, foundations of probability, determinism, Laplace (4)
(OK, enough apologized for all my shortcomings. From now on mostly math and philosophical thoughts on physics.) Back to the two fundamental questions which I deem relevant for the question of drawing a natural number at random. QUESTION 1 Is … 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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