Thursday, January 23, 2025

Some Remarks on 'Logical' Reflection

 Abstract:

Cezary Cieśliński has proved a result shows that highlights `logical reflection': The principle that every logically provable sentence is true. He suggests further that this result has a good deal of philosophical significance, specifically for the so-called `conservativeness argument' against deflationism. This note discusses the question to what extent Cieśliński's result generalizes, and just how strong `logical reflection' is, and suggests that the answers to these questions call the philosophical (though not the technical) significance of Cieśliński's result into doubt.  

On my website: http://rkheck.frege.org/pdf/unpublished/CieslinskiNote.pdf

On PhilPapers: https://philpapers.org/rec/HECSRO

This is a short paper, under 4000 words, which I will probably submit to Thought or Analysis. But mostly it's a kind of appendix to an in-progress paper on the question whether there can be a 'cogent' consistency proof. That one will be posted before long.

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