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Hume on Principles and Perceptual Ability

open access: yesThe Journal of Aesthetics and Art Criticism, 1979
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Finitude and Hume’s Principle

Journal of Philosophical Logic, 1997
Let FA be the extension of second-order logic with the so-called Hume's principle HP, i.e. the claim that the number of a concept \(F\) is equal to the number of a concept \(G\) iff \(F\) and \(G\) are equinumerous (i.e. there is a bijection between the collection of objects falling under \(F\) and those falling under \(G\)).
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Hume’s principle: a plea for austerity

Synthese, 2019
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The Hume–Edwards Principle

Religious Studies, 1995
In such a chain too, or succession of objects, each part is caused by that which preceded it, and causes that which succeeds it. Where then is the difficulty? But the WHOLE, you say, wants a cause. I answer, that the uniting of these parts into a whole, like the uniting of several distinct counties into one kingdom, or several distinct members into one
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The Proof of Hume’s Principle

2019
Beginning in Grundgesetze §53, Frege presents proofs of a set of theorems known to encompass the Peano-Dedekind axioms for arithmetic. The initial part of Frege’s deductive development of arithmetic, to theorems (32) and (49), contains fully formal proofs that had merely been sketched out in Grundlagen.
Robert C. May, Kai F. Wehmeier
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