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I find that subtitle a bit strange. It implies that the article is talking about the limitations of 'reasoning' as traditionally conceived, but the article is more about how human reasoning in practice isn't like the traditional notion of reasoning.

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I think you are substituting reasoning with deduction.

Reasoning is the human process of deciding what one ought do. Deduction is a mechanical process of discovering what follows from axioms.

Human reasoning is often fails by not being perfectly deductive.

I'll grant that you might think I'm nitpicking on definitions.

Not that I suppose it matters that much, but I mean reasoning not deduction

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