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

Preview

Text dedplural_post_v2.pdf - Updated Version Download (273kB) | Preview

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.

---

Export/Citation:

EndNote | BibTeX | Dublin Core | ASCII/Text Citation (Chicago) | HTML Citation | OpenURL

Social Networking:

Share |

---

Item Type:	Preprint
Creators:	Creators Email ORCID 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:	https://philsci-archive.pitt.edu/id/eprint/15805

Available Versions of this Item

• Deductive Pluralism. (deposited 25 Jul 2016 17:05)
  • Deductive Pluralism. (deposited 08 Mar 2019 22:54) [Currently Displayed]

Monthly Views for the past 3 years

Monthly Downloads for the past 3 years

Plum Analytics

Actions (login required)

View Item