Generic Structures

Philosophia Mathematica 27 (3):362-380 (2019)
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Abstract

In this article ideas from Kit Fine’s theory of arbitrary objects are applied to questions regarding mathematical structuralism. I discuss how sui generis mathematical structures can be viewed as generic systems of mathematical objects, where mathematical objects are conceived of as arbitrary objects in Fine’s sense.

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10.1093/philmat/nky015

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Leon Horsten
Universität Konstanz

Citations of this work

Framing the Epistemic Schism of Statistical Mechanics.Javier Anta - 2021 - Proceedings of the X Conference of the Spanish Society of Logic, Methodology and Philosophy of Science.

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References found in this work

What numbers could not be.Paul Benacerraf - 1965 - Philosophical Review 74 (1):47-73.
Mathematics as a science of patterns.Michael David Resnik - 1997 - New York ;: Oxford University Press.
Parts of Classes.David K. Lewis - 1991 - Mind 100 (3):394-397.
Posthumous Writings.Gottlob Frege (ed.) - 1979 - Blackwell.

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