Mathematics is (mostly) analytic / Gregory Lavers.

Format:

Book

Author/Creator:

Lavers, Gregory, author.

Series:

Cambridge elements. Elements in the philosophy of mathematics, 2399-2883.

Cambridge elements. Elements in the philosophy of mathematics, 2399-2883

Language:

English

Subjects (All):

Mathematical analysis.

Physical Description:

1 online resource (61 pages) : digital, PDF file(s).

Edition:

First edition.

Place of Publication:

Cambridge : Cambridge University Press, 2024.

Summary:

This Element outlines and defends an account of analyticity according to which mathematics is, for the most part, analytic. The author begins by looking at Quine's arguments against the concepts of analyticity. He shows how Quine's position on analyticity is related to his view on explication and shows how this suggests a way of defining analyticity that would meet Quine's own standards for explication. The author then looks at Boghossian and his distinction between epistemic and metaphysical accounts of analyticity. Here he argues that there is a straightforward way of eliminating the confusion Boghossian sees with what he calls metaphysical accounts. The author demonstrates that the epistemic dimension of his epistemic account is almost entirely superfluous. The author then discusses how analyticity is related to truth, necessity, and questions of ontology. Finally, he discusses the vagueness of analyticity and also the relation of analyticity to the axiomatic method in mathematics.

Contents:

Introduction

Quine and analyticity

Boghossian and truth in virtue of meaning

Analyticity and its relation to other concepts

The analyticity of mathematics : final thoughts

Conclusions.

Notes:

Title from publisher's bibliographic system (viewed on 10 Jan 2025).

Includes bibliographical references.

ISBN:

9781009118385

1009118382

9781009118187

1009118188

9781009109925

1009109928