Bayesian probability theory is the quantitative logic of which Aristotle's qualitative logic is a special case
Are there any great explanations that show why this is true? Something that shows how to derive Aristotelian logic from the axioms of Bayesian probability theory?
A somewhat more detailed derivation was made in this post by komponisto. He derived the analogues of modus ponens and modus tollens from Bayes' theorem. If you want even more detail, the first couple of chapters of Probability Theory: The Logic of Science discuss it.
Today's post, Guardians of Ayn Rand was originally published on 18 December 2007. A summary (taken from the LW wiki):
Discuss the post here (rather than in the comments to the original post).
This post is part of the Rerunning the Sequences series, where we'll be going through Eliezer Yudkowsky's old posts in order so that people who are interested can (re-)read and discuss them. The previous post was Guardians of the Gene Pool, and you can use the sequence_reruns tag or rss feed to follow the rest of the series.
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