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17807
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To study formal systems, look at the whole thing, and not just how it is constructed in steps [Curry]
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Full Idea:
In the study of formal systems we do not confine ourselves to the derivation of elementary propositions step by step. Rather we take the system, defined by its primitive frame, as datum, and then study it by any means at our command.
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From:
Haskell B. Curry (Remarks on the definition and nature of mathematics [1954], 'The formalist')
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A reaction:
This is what may potentially lead to an essentialist view of such things. Focusing on bricks gives formalism, focusing on buildings gives essentialism.
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17806
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It is untenable that mathematics is general physical truths, because it needs infinity [Curry]
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Full Idea:
According to realism, mathematical propositions express the most general properties of our physical environment. This is the primitive view of mathematics, yet on account of the essential role played by infinity in mathematics, it is untenable today.
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From:
Haskell B. Curry (Remarks on the definition and nature of mathematics [1954], 'The problem')
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A reaction:
I resist this view, because Curry's view seems to imply a mad metaphysics. Hilbert resisted the role of the infinite in essential mathematics. If the physical world includes its possibilities, that might do the job. Hellman on structuralism?
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7903
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The six perfections are giving, morality, patience, vigour, meditation, and wisdom [Nagarjuna]
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Full Idea:
The six perfections are of giving, morality, patience, vigour, meditation, and wisdom.
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From:
Nagarjuna (Mahaprajnaparamitashastra [c.120], 88)
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A reaction:
What is 'morality', if giving is not part of it? I like patience and vigour being two of the virtues, which immediately implies an Aristotelian mean (which is always what is 'appropriate').
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20759
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Feelings are prior to intelligence; we should be content to live with our simplest feelings [Rousseau]
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Full Idea:
To exist is to feel, our feeling is undoubtedly earlier than our intelligence, and we had feelings before we had ideas. …Let us be simpler and less pretentious; let us be content with the first feelings we experience in ourselves.
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From:
Jean-Jacques Rousseau (Emile: treatise on education [1762], p.210), quoted by Kevin Aho - Existentialism: an introduction 6 'Moods'
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A reaction:
Beginning of the sentimental movement, and precursor to romanticism, but here seen as the basis for the existentialist concept of authenticity. Wallowing in emotions doesn't appeal to me, but you have to make space for them. Rousseau loved walking.
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19854
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We all owe labour in return for our keep, and every idle citizen is a thief [Rousseau]
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Full Idea:
In a society where a man has to live at others' expense, he owes in labour the price of his keep; and that is without exception. Work, then, is an indispensable social obligation. Rich or poor, powerful or weak, every idle citizen is a thief.
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From:
Jean-Jacques Rousseau (Emile: treatise on education [1762], Bk III)
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A reaction:
Presumably rich landowners who live on rents can justify their position by good husbandry, at a higher level than tilling the soil. But Bertie Wooster won't last long in Rousseau's new world. This is a big challenge to the welfare state.
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