Open Texture and Mathematics

Stewart Shapiro; Craige Roberts

doi:10.1215/00294527-2021-0007

Abstract

The purpose of this article is to explore the extent to which mathematics is subject to open texture and the extent to which mathematics resists open texture. The resistance is tied to the importance of proof and, in particular, rigor, in mathematics.

Citation

Download Citation

Stewart Shapiro. Craige Roberts. "Open Texture and Mathematics." Notre Dame J. Formal Logic 62 (1) 173 - 191, January 2021. https://doi.org/10.1215/00294527-2021-0007

Information

Received: 1 May 2019; Accepted: 2 September 2020; Published: January 2021

First available in Project Euclid: 23 March 2021

Digital Object Identifier: 10.1215/00294527-2021-0007

Subjects:

Primary: 00A30

Secondary: 03A05

Keywords: Lakatos , open texture , rigor , Waismann

Abstract

Citation

Information

KEYWORDS/PHRASES

PUBLICATION TITLE:

PUBLICATION YEARS