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Posted inPhilosophy Statistics

Contingency, Causality, Determinism, And Free Will

In thinking about what probability means, it's important to sort out what is contingent and what relationship contingent events have to causality. Contingency simply means that what is could have…
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Posted inPhilosophy Statistics

Inuitionist Math & Probability: Riemann Hypothesis Example

The principium tertii exclusi, the principle or law of the excluded middle, what is that? If there is a proposition B then it is either the case that B is…
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Posted inPhilosophy Statistics

What Is A True Model? What Makes A Good One?: Part I

The rules of logic are simple. Use whatever evidence you have, and no other, to figure the probability of a conclusion. These rules are all we need to understand what…
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Posted inFun Philosophy

The Red-Ball-In-The-Box Fallacy

Okay, friends, I need your help. One day last year, shortly after I had arrived in Taiwan, I awoke from a fitful, jet-lagged sleep at 2 a.m. with the argument…
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Posted inPhilosophy Statistics

What Is A True Model? What Makes A Good One?: Part II

The models in Part I might not have "felt right" to you. But if that is so it is because your diet of probability examples has been too narrowly constricted.…
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Posted inPhilosophy Statistics

What Is A True Model? What Makes A Good One?: Part III

We have had two cases so far: arbitrary models for counterfactual Martians (Part I) and a deduced model for an urn holding dichotomous objects (Part II). The logic was identical…
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Posted inPhilosophy Statistics

What Is A True Model? What Makes A Good One?: Part IV

In Part I we had the simplest kind of model. We complicated it in Part II, built more structure in Part III, and today finally come to the most used…
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Posted inPhilosophy Statistics

What Is A True Model? What Makes A Good One?: Part V

We have in our hands (via the predictive posterior) the probabilities that Susy's GPA is less than any number between 0 and 4, given that we accept the normal model…
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