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18084
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When successive variable values approach a fixed value, that is its 'limit' [Cauchy]
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Full Idea:
When the values successively attributed to the same variable approach indefinitely a fixed value, eventually differing from it by as little as one could wish, that fixed value is called the 'limit' of all the others.
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From:
Augustin-Louis Cauchy (Cours d'Analyse [1821], p.19), quoted by Philip Kitcher - The Nature of Mathematical Knowledge 10.4
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A reaction:
This seems to be a highly significan proposal, because you can now treat that limit as a number, and adds things to it. It opens the door to Cantor's infinities. Is the 'limit' just a fiction?
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20344
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Music is not an expressive art, because it expresses no familiar emotions [Hanslick, by Wollheim]
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Full Idea:
Hanslick concluded from the fact that music doesn't express definite feelings like piety, love, joy, or sadness, that it isn't an art of expression.
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From:
report of Eduard Hanslick (The Beautiful in Music [1854]) by Richard Wollheim - Art and Its Objects 48
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A reaction:
Whether music is 'expressive' (which it may not be) should not be confused with whether it is emotional, which it clearly is, even in its coolest examples. Hanslick viewed music as a code, not a language.
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22251
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Liberalism may fail because it neglects the shared nature of what we pursue and protect [Haldane]
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Full Idea:
I am interested in the claim that liberalism fails inasmuch as it neglects, and cannot accommodate, the fact that some or all of the goods we pursue, and which a system of rights is concerned to protect, are goods possessed in common.
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From:
John Haldane (The Individual, the State, and the Common Good [1996], III)
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A reaction:
It depends how individualistic we take liberalism to be. Extreme individualism (Nozick) strikes me as crazy. If 'we' erect a statue to some dubious politicians, it might be presented as a common good, but actually be despised by many.
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