Circular Discernment in Completely Extensive Structures and How to Avoid such Circles Generally

Autor:	Muller, F.A., History and Foundations of Science, Dep Natuurkunde
Přispěvatelé:	Erasmus School of Philosophy, History and Foundations of Science, Dep Natuurkunde
Jazyk:	angličtina
Rok vydání:	2012
Předmět:	Pure mathematics History and Philosophy of Science Logic Structuralism (philosophy of mathematics) Structure (category theory) Calculus Discernment Mathematical structure Mathematics
Zdroj:	Studia Logica, 100(5), 947. Springer Netherlands Studia Logica (Warszawa), 100(5), 947-952. Springer Netherlands
ISSN:	0039-3215
Popis:	In this journal, D. Rizza [11] (p. 176) expounded a solution of what he called "the indiscernibility problem for ante rem structuralism", which is the problem to make sense of the presence, in structures, of objects that are indiscernible yet distinct, by only appealing to what that structure provides. We argue that Rizza's solution is circular and expound a different solution that not only solves the problem for completely extensive structures, treated by Rizza, but for nearly (but not) all mathematical structures.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_dedup___::2debfe1dc463f075224b1d982dd81545 https://dspace.library.uu.nl/handle/1874/269220 Zobrazit plný text záznamu Full text from SpringerLink