On Non-Eliminative Structuralism. Unlabeled Graphs as a Case Study, Part B

Leitgeb, Hannes (2021): On Non-Eliminative Structuralism. Unlabeled Graphs as a Case Study, Part B. In: Philosophia Mathematica, Bd. 29, Nr. 1: S. 64-87

Abstract

This is Part B of an article that defends non-eliminative structuralism about mathematics by means of a concrete case study: a theory of unlabeled graphs. Part A motivated an understanding of unlabeled graphs as structures sui generis and developed a corresponding axiomatic theory of unlabeled graphs. Part B turns to the philosophical interpretation and assessment of the theory: it points out how the theory avoids well-known problems concerning identity, objecthood, and reference that have been attributed to non-eliminative structuralism. The part concludes by explaining how the theory relates to set theory, and what remains to be accomplished for non-eliminative structuralists.

• Dokumententyp: Zeitschriftenartikel
• Fakultät: Philosophie, Wissenschaftstheorie und Religionswissenschaft
• Themengebiete: 100 Philosophie und Psychologie > 100 Philosophie
• ISSN: 0031-8019
• Sprache: Englisch