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2 ideas
18350 | Truth-maker theorists should probably reject the converse Barcan formula [Rami] |
Full Idea: There are good reasons for the truth-maker theorist to reject the converse Barcan formula. | |
From: Adolph Rami (Introduction: Truth and Truth-Making [2009], note 16) | |
A reaction: In the text (p.15) Rami cites the inference from 'necessarily everything exists' to 'everything exists necessarily'. [See Williamson 1999] |
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. |