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  

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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://philsciarchive.pitt.edu/id/eprint/15626 
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