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Ideas for 'Reply to Fourth Objections', 'Substitutional Classes and Relations' and 'Rearrangement of Particles'

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4. Formal Logic / F. Set Theory ST / 4. Axioms for Sets / p. Axiom of Reducibility

18130	Axiom of Reducibility: there is always a function of the lowest possible order in a given level [Russell, by Bostock]
	Full Idea: Russell's Axiom of Reducibility states that to any propositional function of any order in a given level, there corresponds another which is of the lowest possible order in the level. There corresponds what he calls a 'predicative' function of that level.
	From: report of Bertrand Russell (Substitutional Classes and Relations [1906]) by David Bostock - Philosophy of Mathematics 8.2