9766
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Study vagueness first by its logic, then by its truth-conditions, and then its metaphysics [Fine,K]
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Full Idea:
My investigation of vagueness began with the question 'What is the correct logic of vagueness?', which led to the further question 'What are the correct truth-conditions for a vague language?', which led to questions of meaning and existence.
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From:
Kit Fine (Vagueness, Truth and Logic [1975], Intro)
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A reaction:
This is the most perfect embodiment of the strategy of analytical philosophy which I have ever read. It is the strategy invented by Frege in the 'Grundlagen'. Is this still the way to go, or has this pathway slowly sunk into the swamp?
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9775
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Excluded Middle, and classical logic, may fail for vague predicates [Fine,K]
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Full Idea:
Maybe classical logic fails for vagueness in Excluded Middle. If 'H bald ∨ ¬(H bald)' is true, then one disjunct is true. But if the second is true the first is false, and the sentence is either true or false, contrary to the borderline assumption.
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From:
Kit Fine (Vagueness, Truth and Logic [1975], 4)
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A reaction:
Fine goes on to argue against the implication that we need a special logic for vague predicates.
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9768
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Vagueness is semantic, a deficiency of meaning [Fine,K]
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Full Idea:
I take vagueness to be a semantic feature, a deficiency of meaning. It is to be distinguished from generality, undecidability, and ambiguity.
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From:
Kit Fine (Vagueness, Truth and Logic [1975], Intro)
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A reaction:
Sounds good. If we cut nature at the joints with our language, then nature is going to be too subtle and vast for our finite and gerrymandered language, and so it will break down in tricky situations. But maybe epistemology precedes semantics?
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9776
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A thing might be vaguely vague, giving us higher-order vagueness [Fine,K]
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Full Idea:
There is a possibility of 'higher-order vagueness'. The vague may be vague, or vaguely vague, and so on. If J has few hairs on his head than H, then he may be a borderline case of a borderline case.
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From:
Kit Fine (Vagueness, Truth and Logic [1975], 5)
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A reaction:
Such slim grey areas can also be characterised as those where you think he is definitely bald, but I am not so sure.
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9770
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Logical connectives cease to be truth-functional if vagueness is treated with three values [Fine,K]
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Full Idea:
With a three-value approach, if P is 'blob is pink' and R is 'blob is red', then P&P is indefinite, but P&R is false, and P∨P is indefinite, but P∨R is true. This means the connectives & and ∨ are not truth-functional.
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From:
Kit Fine (Vagueness, Truth and Logic [1975], 1)
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A reaction:
The point is that there could then be no logic in any way classical for vague sentences and three truth values. A powerful point.
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9773
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With the super-truth approach, the classical connectives continue to work [Fine,K]
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Full Idea:
With the super-truth approach, if P is 'blob is pink' and R is 'blob is red', then P&R is false, and P∨R is true, since one of P and R is true and one is false in any complete and admissible specification. It encompasses all 'penumbral truths'.
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From:
Kit Fine (Vagueness, Truth and Logic [1975], 3)
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A reaction:
[See Idea 9767 for the super-truth approach, and Idea 9770 for a contrasting view] The approach, which seems quite appealing, is that we will in no circumstances give up basic classical logic, but we will make maximum concessions to vagueness.
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16620
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A chair is wood, and its shape is the form; it isn't 'compounded' of the matter and form [Hobbes]
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Full Idea:
Nothing can be compounded of matter and form. The matter of a chair is wood; the form is the figure it has, apt for the intended use. Does his Lordship think the chair compounded of the wood and the figure?
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From:
Thomas Hobbes (Letter to Bramhall [1650], 4:302), quoted by Robert Pasnau - Metaphysical Themes 1274-1671 07.1
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A reaction:
Aristotle does use the word 'shape' [morphe] when he is discussing hylomorphism, and the statue example seems to support it, but elsewhere the form is a much deeper principle of individuation.
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16622
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Essence is just an artificial word from logic, giving a way of thinking about substances [Hobbes]
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Full Idea:
Essence and all other abstract names are words artificial belonging to the art of logic, and signify only the manner how we consider the substance itself.
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From:
Thomas Hobbes (Letter to Bramhall [1650], 4:308), quoted by Robert Pasnau - Metaphysical Themes 1274-1671
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A reaction:
I sympathise quite a lot with this view, but not with its dismissive tone. The key question I take to be: if you reject essences entirely (having read too much physics), how are we going to think about entities in the world in future?
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11214
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We learn 'not' along with affirmation, by learning to either affirm or deny a sentence [Rumfitt]
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Full Idea:
The standard view is that affirming not-A is more complex than affirming the atomic sentence A itself, with the latter determining its sense. But we could learn 'not' directly, by learning at once how to either affirm A or reject A.
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From:
Ian Rumfitt ("Yes" and "No" [2000], IV)
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A reaction:
[compressed] This seems fairly anti-Fregean in spirit, because it looks at the psychology of how we learn 'not' as a way of clarifying what we mean by it, rather than just looking at its logical behaviour (and thus giving it a secondary role).
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