Simon Hewitt
University of Leeds
We note that a plural version of logicism about arithmetic is suggested by the standard reading of Hume's Principle in terms of `the number of Fs/Gs'. We lay out the resources needed to prove a version of Frege's principle in plural, rather than second-order, logic. We sketch a proof of the theorem and comment philosophically on the result, which sits well with a metaphysics of natural numbers as plural properties.
Keywords neo-fregeanism  abstractionism  plural logic
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References found in this work BETA

New Work for a Theory of Universals.David Lewis - 1983 - Australasian Journal of Philosophy 61 (4):343-377.
New Work For a Theory of Universals.David Lewis - 1983 - In D. H. Mellor & Alex Oliver (eds.), Properties. Oxford University Press.
Frege Meets Dedekind: A Neologicist Treatment of Real Analysis.Stewart Shapiro - 2000 - Notre Dame Journal of Formal Logic 41 (4):335--364.

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