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10180
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Mathematicians do not study objects, but relations between objects [Poincaré]
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Full Idea:
Mathematicians do not study objects, but relations between objects; it is a matter of indifference if the objects are replaced by others, provided the relations do not change. They are interested in form alone, not matter.
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From:
Henri Poincaré (Science and Hypothesis [1902], p.20), quoted by E Reck / M Price - Structures and Structuralism in Phil of Maths §6
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A reaction:
This connects modern structuralism with Aritotle's interest in the 'form' of things. Contrary to the views of the likes of Frege, it is hard to see that the number '7' has any properties at all, apart from its relations. A daffodil would do just as well.
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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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7071
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Life and rationality are pointless if we can only contemplate the freedom of our own ego [Jacobi]
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Full Idea:
If the highest upon which I can reflect, what I can contemplate, is my empty and pure, naked and mere ego, with its autonomy and freedom: then rational self-contemplation, then rationality is for me a curse - I deplore my existence.
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From:
Friedrich Jacobi (Letters to Fichte [1799], Ch.2), quoted by Simon Critchley - Continental Philosophy - V. Short Intro
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A reaction:
This is a rebellion against Fichte's interpretation of Kant. It is a lovely cry from the heart on behalf of everyone who resents lines of philosophical thinking that seem to imprison the mind and cut us off from the ordinary world and real life.
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