On Non-Eliminative Structuralism. Unlabeled Graphs as a Case Study, Part B†
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.
Keyword(s):
Keyword(s):
2011 ◽
pp. 299-321
◽
Keyword(s):
2019 ◽
Vol 11
(7)
◽
pp. 2963-2986
◽
Keyword(s):
Keyword(s):