Combining Texts

Ideas for 'fragments/reports', 'The Philosophy of Nature: new essentialism' and 'A Structural Account of Mathematics'

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2 ideas

19. Language / B. Reference / 3. Direct Reference / b. Causal reference
Mathematical entities are causally inert, so the causal theory of reference won't work for them [Chihara]
     Full Idea: Causal theories of reference seem doomed to failure for the case of reference to mathematical entities, since such entities are evidently causally inert.
     From: Charles Chihara (A Structural Account of Mathematics [2004], 01.3)
     A reaction: Presumably you could baptise a fictional entity such as 'Polonius', and initiate a social causal chain, with a tradition of reference. You could baptise a baby in absentia.
19. Language / C. Assigning Meanings / 3. Predicates
Predicates assert properties, values, denials, relations, conventions, existence and fabrications [Ellis, by PG]
     Full Idea: As well as properties, predicates can assert evaluation, denial, relations, conventions, existence or fabrication.
     From: report of Brian Ellis (The Philosophy of Nature: new essentialism [2002], Ch.3) by PG - Db (ideas)
     A reaction: This seems important, in order to disentangle our ontological commitments from our language, which was a confusion that ran throughout twentieth-century philosophy. A property is a real thing in the world, not a linguistic convention.