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In Defense of Mathematical Inferentialism

Park, Seungbae (2017) In Defense of Mathematical Inferentialism.

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Abstract

I defend a new position in philosophy of mathematics that I call mathematical inferentialism. It holds that a mathematical sentence can perform the function of facilitating deductive inferences from some concrete sentences to other concrete sentences, that a mathematical sentence is true if and only if all of its concrete consequences are true, that the abstract world does not exist, and that we acquire mathematical knowledge by confirming concrete sentences. Mathematical inferentialism has several advantages over mathematical realism and fictionalism.


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Item Type: Published Article or Volume
Creators:
CreatorsEmailORCID
Park, Seungbae
Keywords: Concrete Adequacy, Mathematical Fictionalism, Mathematical Inferentialism, Mathematical Realism
Subjects: Specific Sciences > Mathematics > Epistemology
Specific Sciences > Mathematics > Ontology
Depositing User: Dr. Seungbae Park
Date Deposited: 21 Jan 2019 01:08
Last Modified: 21 Jan 2019 01:08
Item ID: 15626
Subjects: Specific Sciences > Mathematics > Epistemology
Specific Sciences > Mathematics > Ontology
Date: 2017
URI: http://philsci-archive.pitt.edu/id/eprint/15626

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