Award Date

11-2014

Degree Type

Honors Thesis

Department

Philosophy

Advisor 1

Ian Dove

Advisor 2

James Woodbridge

Advisor 3

Marta Meana

Number of Pages

38

Abstract

Classical mathematics is a form of mathematics that has a large range of application; however, its application has boundaries. In this paper, I show that Sperber and Wilson’s concept of relevance can demarcate classical mathematics’ range of applicability by demarcating classical logic’s range of applicability. Furthermore, I introduce how to systematize Sperber and Wilson’s concept of relevance into a quasi-classical logic that can explain classical logic’s and classical mathematics’ range of applicability.

Keywords

Logic, Symbolic and mathematical; Mathematics; Mathematics--Philosophy

Disciplines

Logic and Foundations | Mathematics

Language

English


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