id	author	title	date	pages	extension	mime	words	sentences	flesch	summary	cache	txt
work_o5lpmfijtnhvxmu5i3hqzf3tgm	Benjamin Eva	Category theory and physical structuralism	2016	16	.pdf	application/pdf	8342	462	57	Abstract As a metaphysical theory, radical ontic structural realism (ROSR) is characterised mainly in terms of the ontological primacy it places on relations and Bain's first observation is that category theory allows us to reformulate (and generalise) many traditional set-theoretic notions that would normally require reference sets, since the morphisms of HILB are 'not simply functions that preserve the relevant set-theoretic notion of structure associated with them.' In particular, he notes The most straightforward and popular way of defining relations in category theory is a direct generalisation of the set theoretic notion. in set theory are subsets of the Cartesian product of the relevant domains of quantification, the category theoretic generalisation defines relations to be subobjects of the So the morphisms do not preserve all of the relevant physical structure (as Bain would put it, FHILB is not a 'category of structured sets').	./cache/work_o5lpmfijtnhvxmu5i3hqzf3tgm.pdf	./txt/work_o5lpmfijtnhvxmu5i3hqzf3tgm.txt