6862
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Fuzzy logic uses a continuum of truth, but it implies contradictions [Williamson]
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Full Idea:
Fuzzy logic is based on a continuum of degrees of truth, but it is committed to the idea that it is half-true that one identical twin is tall and the other twin is not, even though they are the same height.
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From:
Timothy Williamson (Interview with Baggini and Stangroom [2001], p.154)
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A reaction:
Maybe to be shocked by a contradiction is missing the point of fuzzy logic? Half full is the same as half empty. The logic does not say the twins are different, because it is half-true that they are both tall, and half-true that they both aren't.
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6861
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What sort of logic is needed for vague concepts, and what sort of concept of truth? [Williamson]
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Full Idea:
The problem of vagueness is the problem of what logic is correct for vague concepts, and correspondingly what notions of truth and falsity are applicable to vague statements (does one need a continuum of degrees of truth, for example?).
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From:
Timothy Williamson (Interview with Baggini and Stangroom [2001], p.153)
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A reaction:
This certainly makes vagueness sound like one of the most interesting problems in all of philosophy, though also one of the most difficult. Williamson's solution is that we may be vague, but the world isn't.
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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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6860
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How can one discriminate yellow from red, but not the colours in between? [Williamson]
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Full Idea:
If one takes a spectrum of colours from yellow to red, it might be that given a series of colour samples along that spectrum, each sample is indiscriminable by the naked eye from the next one, though samples at either end are blatantly different.
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From:
Timothy Williamson (Interview with Baggini and Stangroom [2001], p.151)
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A reaction:
This seems like a nice variant of the Sorites paradox (Idea 6008). One could demonstrate it with just three samples, where A and C seemed different from each other, but other comparisons didn't.
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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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