9390
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Logic guides thinking, but it isn't a substitute for it [Rumfitt]
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Full Idea:
Logic is part of a normative theory of thinking, not a substitute for thinking.
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From:
Ian Rumfitt (The Logic of Boundaryless Concepts [2007], p.13)
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A reaction:
There is some sort of logicians' dream, going back to Leibniz, of a reasoning engine, which accepts propositions and outputs inferences. I agree with this idea. People who excel at logic are often, it seems to me, modest at philosophy.
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9389
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Vague membership of sets is possible if the set is defined by its concept, not its members [Rumfitt]
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Full Idea:
Vagueness in respect of membership is consistency with determinacy of the set's identity, so long as a set's identity is taken to consist, not in its having such-and-such members, but in its being the extension of a concept.
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From:
Ian Rumfitt (The Logic of Boundaryless Concepts [2007], p.5)
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A reaction:
I find this view of sets much more appealing than the one that identifies a set with its members. The empty set is less of a problem, as well as non-existents. Logicians prefer the extensional view because it is tidy.
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15251
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The attribution of necessity to causation is either primitive animism, or confusion with logical necessity [Ayer]
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Full Idea:
How are we to explain the word 'must' [about causation]? The answer is, I think, that it is either a relic of animism, or else reveals an inclination to treat causal connexion as if it were a form of logical necessity.
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From:
A.J. Ayer (The Foundations of Empirical Knowledge [1940], IV.18)
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A reaction:
The animism proposal just about makes sense (as a primitive feature of minds), but why would anyone, if they had the time and understanding, dream of treating a regular connection as a 'logical' necessity?
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