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William M. Briggs

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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 inFun Statistics

Counterfactuals And Woodchuck Probability Distributions

I have, with mechanical aid, again winged my way across the globe in search of treasure. I landed disoriented and would not trust myself to calculate even the integral of…
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Posted inPhilosophy Statistics

Legal Standards Of Proof And Probability

Different courts and legal systems use diverse phrases about evidentiary standards of proof1. Few to none are precise in the sense that they offer a fixed probability number for this…
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Posted inPhilosophy Statistics

Logical Probability And The IPCC’s Ambiguous Forecasts

This post is inspired by Roger Pielke, Jr., as well as Bernie, Matt, and other readers who asked me to have a look at some IPCC probability statements. Roger Pielke,…
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Posted inPhilosophy Statistics

Casey Anthony And The Probability of Guilt

What is the probability that Casey Anthony is guilty of murder? High, but according to twelve men and women honest and true, not high enough. High enough is supposed to…
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Posted inStatistics

The Nature Of Probability And Statistics. Ithaca Teaching Journal, Day 1

Ithaca was once voted the "Most Enlightened City." I can't say whether this is true, but I can tell you that the Cornell's Statler hotel's refrigerator contain a placard, which…
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Posted inPhilosophy Statistics

Model Selection and the Difficulty of Falsifying Probability Models: Part III

To clarify: to prove false means to demonstrate a valid argument with a certain conclusion. If a theory/model says an event is merely unlikely---make it as unlikely as you like,…
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Posted inPhilosophy Statistics

Model Selection and the Difficulty of Falsifying Probability Models: Part II

I hope all understand that we are not just discussing statistics and probability models: what is true here is true for all theories/models (mathematics, physics, chemistry, climate, etc.). Read Part…
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  1. spaceranger on Impossible LSAT Statistics QuestionFebruary 4, 2026

    I usually go with "b." or "Asia" on those multiple choice ones.

  2. Cary D Cotterman on Polar Bears Are Doing Fine: Activists, Not So WellFebruary 4, 2026

    Polar bears have existed for at least half a million years, and possibly as long as a million. They have…

  3. Brian (bulaoren) on Polar Bears Are Doing Fine: Activists, Not So WellFebruary 4, 2026

    Dr. Briggs I was afraid I'd hijacked your subject today with my, rather dark, "Walter Lantz" cartoon. Returning to your…

  4. Brian (bulaoren) on Polar Bears Are Doing Fine: Activists, Not So WellFebruary 4, 2026

    While we're on the subject of "Ursus Maritimus"; In 1987, a group of amusement denied boys decided to make an…

  5. hudbwu on Impossible LSAT Statistics QuestionFebruary 3, 2026

    > But that’s because the setup is itself weird. It contains the implicit premise that more beliefs equals better survival,…

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