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(1997) Philosophy of mathematics today, Dordrecht, Springer.
In mathematics, I claim, we do not have objects with an “internal” composition arranged in structures, we have only structures. The objects of mathematics, that is, the entities which our mathematical constants and quantifiers denote, are structureless points or positions in structures. As positions in structures, they have no identity or features outside of a structure.1
Publication details
DOI: 10.1007/978-94-011-5690-5_10
Full citation:
Parsons, C. (1997)., Structuralism and the concept of set, in E. Agazzi & G. Darvas (eds.), Philosophy of mathematics today, Dordrecht, Springer, pp. 171-194.