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Posted inPhilosophy Statistics

Replacements for Representation: Bayes From the Ground Up

A primary justification for Bayesian probability is De Finetti's representation theorem, which is stated like this. You are to observe a sequence of 0s and 1s, "failures" and "successes" if…
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Posted inPhilosophy Statistics

Finitism, Physics, Cellular Automata: The Universe as Logic

In no way is this article meant to be complete. It is more in the way of musings---a crude introduction---so that we can see where to go. Is the universe…
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Posted inPhilosophy Statistics

Postmodernism and the Proceedings of the National Academy of Science

Since I am, by nature, a compassionate individual, I had been thinking of how we might Sokal the Proceedings of the National Academy of Science (PNAS). It is for their…
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Posted inPhilosophy Statistics

The Two-Envelope Problem Solution: Part II

Read Part I first. We are in the peek first game here. The distribution of N When X is odd, and all X are discrete, we know we should always…
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Posted inPhilosophy Statistics

The Two-Envelope Problem Solution: Part I

Another probability "paradox", the two-envelope problem1, goes like this: Before you are two envelopes, A and B. One of them contains $X and the other $2X (which is equivalent to…
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Posted inCulture Philosophy

‘The Most Dangerous Philosopher in the West’

Extremely busy day, today. I have time for only the merest sketch of a post. The title is not mine, but a label given to Slavoj Zizek, the rock-star communist…
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Posted inPhilosophy Statistics

Symmetry, Priors, Logical Probability, Infinities, and Needless Paradoxes

One reason why some reject the notions of logical probability and Bayesian statistics is because it is said that assignments of probability under symmetry generate paradoxes. However, as I will…
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Posted inPhilosophy Statistics

In Defense of Dogmatism

In so far as I have a coherent philosophy of statistics, I hope it is "robust" enough to cope in principle with the whole of statistics, and sufficiently undogmatic not…
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