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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12434
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Why is this necessary, and what is necessity in general; why is this necessary truth true, and why necessary? [Hale]
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Full Idea:
We must distinguish between explaining particular necessities and explaining necessity in general; and we ought to distinguish between explaining, in regard to any necessary truth, why it is true, and explaining why it is necessary.
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From:
Bob Hale (The Source of Necessity [2002], p.308)
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A reaction:
Useful. The pluralist view I associate with Fine says we can explain types of necessity, but not necessity in general. If we seek truthmakers, there is a special case of what adds the necessity to the truth.
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12433
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If necessity rests on linguistic conventions, those are contingent, so there is no necessity [Hale]
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Full Idea:
If the alleged necessity, e,g, 2+2=4, really does depend upon a convention governing the use of the words in which we state it, and the existence of that convention is merely a contingent matter, then it can't after all be necessary.
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From:
Bob Hale (The Source of Necessity [2002], p.302)
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A reaction:
[Hale is citing Blackburn for this claim] Hale suggests replies, by keeping truth and meaning separate, and involving laws of logic. Blackburn clearly has a good point.
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12436
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Concept-identities explain how we know necessities, not why they are necessary [Hale]
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Full Idea:
It seems to me that identity-relations among concepts have more to do with explaining how we know that vixens are female foxes etc., than with explaining why it is necessary, and, more generally, with explaining why some necessities are knowable a priori.
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From:
Bob Hale (The Source of Necessity [2002], P.313)
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A reaction:
Hale rejects the conceptual and conventional accounts of necessity, in favour of the essentialist view. This strikes me as a good suggestion of Hale's, since I agree with him about the essentialism.
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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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16764
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The soul conserves the body, as we see by its dissolution when the soul leaves [Toletus]
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Full Idea:
Every accident of a living thing, as well as all its organs and temperaments and its dispositions are conserved by the soul. We see this from experience, since when that soul recedes, all these dissolve and become corrupted.
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From:
Franciscus Toletus (Commentary on 'De Anima' [1572], II.1.1), quoted by Robert Pasnau - Metaphysical Themes 1274-1671 24.5
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A reaction:
A nice example of observing a phenemonon, but not being able to observe the dependence relation the right way round. Compare Descartes in Idea 16763.
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