10438
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Definite descriptions are usually rigid in subject, but not in predicate, position [Sainsbury]
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Full Idea:
Definite descriptions used with referential intentions (usually in subject position) are normally rigid, ..but in predicate position they are normally not rigid, because there is no referential intention.
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From:
Mark Sainsbury (The Essence of Reference [2006], 18.5)
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A reaction:
'The man in the blue suit is the President' seems to fit, but 'The President is the head of state' doesn't. Seems roughly right, but language is always too complex for philosophers.
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3425
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Reduction has been defined as deriving one theory from another by logic and maths [Nagel,E, by Kim]
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Full Idea:
Ernest Nagel defines reduction as the possibility of deriving all laws of one theory by logic and mathematics to another theory, with appropriate 'bridging principles' (either definitions, or empirical laws) connecting the expressions of the two theories.
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From:
report of Ernest Nagel (The Structure of Science [1961]) by Jaegwon Kim - Philosophy of Mind p.213
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A reaction:
This has been labelled as 'weak' reduction, where 'strong' reduction would be identity, as when lightning is reduced to electrical discharge. You reduce x by showing that it is y in disguise.
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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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10431
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Things are thought to have a function, even when they can't perform them [Sainsbury]
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Full Idea:
On one common use of the notion of a function, something can possess a function which it does not, or even cannot, perform. A malformed heart is to pump blood, even if such a heart cannot in fact pump blood.
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From:
Mark Sainsbury (The Essence of Reference [2006], 18.2)
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A reaction:
One might say that the heart in a dead body had the function of pumping blood, but does it still have that function? Do I have the function of breaking the world 100 metres record, even though I can't quite manage it? Not that simple.
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