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bayesing

2024-02-10 View on smbc-comics.com → 1 revision
bayesing
Votey panel for bayesing
This explanation is incomplete or may contain errors. It was generated by AI and has not yet been reviewed by a human editor.

Explanation

This comic tackles Bayesian reasoning and its implications for arguments about the existence of God (or similar metaphysical claims).

In the first panel, one character says: "I think we should all try to be Bayesian." Another responds with a challenge: "Suppose your prior probability that 0 equals 1 is precisely 0."

The comic then walks through the logical consequence: if you take a field observation and find that it updates your probability that 0 equals 1, "everyone would point out they can't because the observation contradicts a logical certainty." No observation can make you believe 0 equals 1 because the prior is absolute zero.

But then the punchline: "Your argument re: the Bayes theorem can't account for this well-known fact" -- and therefore "this cannot be a complete description of our universe."

The humor is rooted in a genuine philosophical debate about Bayesianism. Strict Bayesian reasoning says you should never assign a prior probability of exactly 0 or 1 to anything, because no amount of evidence can ever update those priors (since Bayes' theorem multiplies by the prior, and anything times zero is zero). The comic cleverly uses the example of logical certainties (like 0 not equaling 1) to demonstrate a real limitation of naive Bayesianism: there ARE things we hold to be absolutely certain, and a framework that cannot accommodate certainty is incomplete. It is a nerdy but pointed critique of people who invoke Bayesian reasoning as a universal answer to epistemology, showing that even this sophisticated framework has edge cases it cannot handle gracefully.

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