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Deductive Pluralism

Hosack, John M. (2019) Deductive Pluralism. [Preprint]

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Abstract

This paper proposes an approach to the philosophy of
mathematics, deductive pluralism, that satisfies the
criterion of inclusiveness of mathematical practice.
The basic argument is as follows: there are existing
varieties of mathematics with incompatible foundations;
given these varieties, a philosophy of mathematics should
be inclusive; the criterion of inclusiveness and the fact
of incompatible varieties implies a pluralistic philosophy;
this in turn requires a deductivist approach within each
variety; thus deductive pluralism. The advantages of deductive pluralism include the elimination of ontological
problems, epistemological clarity, and objectivity.


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Item Type: Preprint
Creators:
CreatorsEmailORCID
Hosack, John M.hosack@alumni.caltech.edu
Keywords: mathematics, deductivism, pluralism
Subjects: Specific Sciences > Mathematics > Foundations
Specific Sciences > Mathematics > Ontology
Depositing User: Dr. John Hosack
Date Deposited: 08 Mar 2019 22:54
Last Modified: 08 Mar 2019 22:54
Item ID: 15805
Subjects: Specific Sciences > Mathematics > Foundations
Specific Sciences > Mathematics > Ontology
Date: 7 March 2019
URI: http://philsci-archive.pitt.edu/id/eprint/15805

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