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.
Michael D. Resnik: ‘Mathematics as a Science of Patterns: Ontology and Reference’ (via fuckyeahphilosophy)
Source: fuckyeahphilosophy
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