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Ideas for 'Introduction to Russell's Theory of Types', 'Mechanisms' and 'Causation and Laws of Nature'

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2 ideas

4. Formal Logic / D. Modal Logic ML / 3. Modal Logic Systems / d. System T

14607	T adds □p→p for reflexivity, and is ideal for modeling lawhood [Schaffer,J]
	Full Idea: System T is a normal modal system augmented with the reflexivity-generating axiom □p→p, and is, I think, the best modal logic for modeling lawhood.
	From: Jonathan Schaffer (Causation and Laws of Nature [2008], n46)
	A reaction: Schaffer shows in the article why transitivity would not be appropriate for lawhood.

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

18170	The Axiom of Reducibility is self-effacing: if true, it isn't needed [Quine]
	Full Idea: The Axiom of Reducibility is self-effacing: if it is true, the ramification it is meant to cope with was pointless to begin with.
	From: Willard Quine (Introduction to Russell's Theory of Types [1967], p.152), quoted by Penelope Maddy - Naturalism in Mathematics I.1
	A reaction: Maddy says the rejection of Reducibility collapsed the ramified theory of types into the simple theory.