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8983
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If 'red' is vague, then membership of the set of red things is vague, so there is no set of red things [Sainsbury]
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Full Idea:
Sets have sharp boundaries, or are sharp objects; an object either definitely belongs to a set, or it does not. But 'red' is vague; there objects which are neither definitely red nor definitely not red. Hence there is no set of red things.
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From:
Mark Sainsbury (Concepts without Boundaries [1990], §2)
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A reaction:
Presumably that will entail that there IS a set of things which can be described as 'definitely red'. If we describe something as 'definitely having a hint of red about it', will that put it in a set? In fact will the applicability of 'definitely' do?
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8986
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We should abandon classifying by pigeon-holes, and classify around paradigms [Sainsbury]
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Full Idea:
We must reject the classical picture of classification by pigeon-holes, and think in other terms: classifying can be, and often is, clustering round paradigms.
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From:
Mark Sainsbury (Concepts without Boundaries [1990], §8)
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A reaction:
His conclusion to a discussion of the problem of vagueness, where it is identified with concepts which have no boundaries. Pigeon-holes are a nice exemplar of the Enlightenment desire to get everything right. I prefer Aristotle's categories, Idea 3311.
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8984
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If concepts are vague, people avoid boundaries, can't spot them, and don't want them [Sainsbury]
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Full Idea:
Vague concepts are boundaryless, ...and the manifestations are an unwillingness to draw any such boundaries, the impossibility of identifying such boundaries, and needlessness and even disutility of such boundaries.
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From:
Mark Sainsbury (Concepts without Boundaries [1990], §5)
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A reaction:
People have a very fine-tuned notion of whether the sharp boundary of a concept is worth discussing. The interesting exception are legal people, who are often forced to find precision where everyone else hates it. Who deserves to inherit the big house?
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8985
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Boundaryless concepts tend to come in pairs, such as child/adult, hot/cold [Sainsbury]
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Full Idea:
Boundaryless concepts tend to come in systems of contraries: opposed pairs like child/adult, hot/cold, weak/strong, true/false, and complex systems of colour terms. ..Only a contrast with 'adult' will show what 'child' excludes.
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From:
Mark Sainsbury (Concepts without Boundaries [1990], §5)
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A reaction:
This might be expected. It all comes down to the sorites problem, of when one thing turns into something else. If it won't merge into another category, then presumably the isolated concept stays applicable (until reality terminates it? End of sheep..).
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14712
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A sentence is a priori if no possible way the world might actually be could make it false [Chalmers]
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Full Idea:
The Core Thesis for rationalist 2D semantics is that for any sentence S, S is apriori iff S has a necessary 1-intension. (That is, there is no possible way the world might be that, if it actually obtained, would make S false).
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From:
David J.Chalmers (Epistemic Two-Dimensional Semantics [2004], p.165), quoted by Laura Schroeter - Two-Dimensional Semantics 2.3.2
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A reaction:
[The parenthesis is by Schroeter] A '1-intension' is defined by a diagonal on a 2D semantic matrix. Chalmers defends conceivability as the guide to possibility. This is a very traditional view of the a priori, expressed in modern terms.
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