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Non‐factualism Versus Nominalism
Author(s) -
Plebani Matteo
Publication year - 2017
Publication title -
pacific philosophical quarterly
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.914
H-Index - 32
eISSN - 1468-0114
pISSN - 0279-0750
DOI - 10.1111/papq.12116
Subject(s) - nominalism , platonism , epistemology , philosophy , philosophy of mathematics , position (finance) , originality , philosophy of mind , metaphysics , sociology , social science , economics , qualitative research , finance
The platonism/nominalism debate in the philosophy of mathematics concerns the question whether numbers and other mathematical objects exist. Platonists believe the answer to be in the positive, nominalists in the negative. According to non‐factualists (about mathematical objects), the question is ‘moot’, in the sense that it lacks a correct answer. Elaborating on ideas from Stephen Yablo, this article articulates a non‐factualist position in the philosophy of mathematics and shows how the case for non‐factualism entails that standard arguments for rival positions fail. In particular, showing how and why non‐factualists reject nominalism illuminates the originality and interest of their position.