Combining Texts

Ideas for 'Confessions of a Philosopher', 'The Metaphysic of Abstract Particulars' and 'Philosophy of Logic'

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2 ideas

5. Theory of Logic / E. Structures of Logic / 5. Functions in Logic

18961	We can identify functions with certain sets - or identify sets with certain functions [Putnam]
	Full Idea: Instead of identifying functions with certain sets, I might have identified sets with certain functions.
	From: Hilary Putnam (Philosophy of Logic [1971], Ch.9)

5. Theory of Logic / E. Structures of Logic / 6. Relations in Logic

8525	Relations need terms, so they must be second-order entities based on first-order tropes [Campbell,K]
	Full Idea: Because there cannot be relations without terms, in a meta-physic that makes first-order tropes the terms of all relations, relational tropes must belong to a second, derivative order.
	From: Keith Campbell (The Metaphysic of Abstract Particulars [1981], §8)
	A reaction: The admission that there could be a 'derivative order' may lead to trouble for trope theory. Ostrich Nominalists could say that properties themselves are derivative second-order abstractions from indivisible particulars. Russell makes them first-order.