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

Studia Logica 100 (5):947-952 (2012)
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Abstract

In this journal (Studia Logica), D. Rizza [2010: 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

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F. A. Muller
Erasmus University Rotterdam

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What numbers could not be.Paul Benacerraf - 1965 - Philosophical Review 74 (1):47-73.
Philosophy of mathematics: structure and ontology.Stewart Shapiro - 1997 - New York: Oxford University Press.
Mathematics as a science of patterns.Michael David Resnik - 1997 - New York ;: Oxford University Press.
Frege.Michael Dummett - 1973 - Cambridge, Mass.: Harvard University Press.

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