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10838
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To explain a concept, we need its purpose, not just its rules of usage [Dummett]
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Full Idea:
We cannot in general suppose that we give a proper account of a concept by describing those circumstance in which we do, and those in which we do not, make use of the relevant word. We explain the point of the concept, what we use the word for.
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From:
Michael Dummett (Truth [1959], p.231)
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A reaction:
Well said. I am beginning to develop a campaign to make sure that analytical philosophy focuses on understanding concepts (in a full 'logos' sort of way), and doesn't just settle for logical form or definition or rules of usage.
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10840
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We must be able to specify truths in a precise language, like winning moves in a game [Dummett]
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Full Idea:
For a particular bounded language, if it is free of ambiguity and inconsistency, it must be possible to characterize the true sentences of the language; somewhat as, for a given game, we can say which moves are winning moves.
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From:
Michael Dummett (Truth [1959], p.237)
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A reaction:
The background of this sounds rather like Tarski, with truth just being a baton passed from one part of the language to another, though Dummett adds the very un-Tarskian notion that truth has a value.
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9545
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Late in life Frege abandoned logicism, and saw the source of arithmetic as geometrical [Frege, by Chihara]
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Full Idea:
Near the end of his life, Frege completely abandoned his logicism, and came to the conclusion that the source of our arithmetical knowledge is what he called 'the Geometrical Source of Knowledge'.
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From:
report of Gottlob Frege (Sources of Knowledge of Mathematics [1922]) by Charles Chihara - A Structural Account of Mathematics Intro n3
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A reaction:
We have, rather crucially, lost touch with the geometrical origins of arithmetic (such as 'square' numbers), which is good news for the practice of mathematics, but probably a disaster for the philosophy of the subject.
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14296
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Dispositions are physical states of mechanism; when known, these replace the old disposition term [Quine]
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Full Idea:
Each disposition, in my view, is a physical state or mechanism. ...In some cases nowadays we understand the physical details and set them forth explicitly in terms of the arrangement and interaction of small bodies. This replaces the old disposition.
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From:
Willard Quine (The Roots of Reference [1990], p.11), quoted by Stephen Mumford - Dispositions 01.3
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A reaction:
A challenge to the dispositions and powers view of nature, one which rests on the 'categorical' structural properties, rather than the 'hypothetical' dispositions. But can we define a mechanism without mentioning its powers?
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