10152
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Set theory and logic are fairy tales, but still worth studying [Tarski]
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Full Idea:
People have asked me, 'How can you, a nominalist, do work in set theory and in logic, which are theories about things you do not believe in?' ...I believe that there is a value even in fairy tales and the study of fairy tales.
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From:
Alfred Tarski (talk [1965]), quoted by Feferman / Feferman - Alfred Tarski: life and logic
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A reaction:
This is obviously an oversimplification. I don't think for a moment that Tarski literally believed that the study of fairy tales had as much value as the study of logic. Why do we have this particular logic, and not some other?
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9216
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Each area of enquiry, and its source, has its own distinctive type of necessity [Fine,K]
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Full Idea:
The three sources of necessity - the identity of things, the natural order, and the normative order - have their own peculiar forms of necessity. The three main areas of human enquiry - metaphysics, science and ethics - each has its own necessity.
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From:
Kit Fine (The Varieties of Necessity [2002], 6)
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A reaction:
I would treat necessity in ethics with caution, if it is not reducible to natural or metaphysical necessity. Fine's proposal is interesting, but I did not find it convincing, especially in its view that metaphysical necessity doesn't intrude into nature.
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9215
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Causation is easier to disrupt than logic, so metaphysics is part of nature, not vice versa [Fine,K]
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Full Idea:
It would be harder to break P-and-Q implying P than the connection between cause and effect. This difference in strictness means it is more plausible that natural necessities include metaphysical necessities, than vice versa.
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From:
Kit Fine (The Varieties of Necessity [2002], 6)
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A reaction:
I cannot see any a priori grounds for the claim that causation is more easily disrupted than logic. It seems to be based on the strategy of inferring possibilities from what can be imagined, which seems to me to lead to wild misunderstandings.
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