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David Hilbert

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To new concepts correspond, necessarily, new signs. These we choose in such a way that they remind us of the phenomena which were the occasion for the formation of the new concepts.

 
David Hilbert

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That immense framework and planking of concepts to which the needy man clings his whole life long in order to preserve himself is nothing but a scaffolding and toy for the most audacious feats of the liberated intellect. And when it smashes this framework to pieces, throws it into confusion, and puts it back together in an ironic fashion, pairing the most alien things and separating the closest, it is demonstrating that it has no need of these makeshifts of indigence and that it will now be guided by intuitions rather than by concepts. There is no regular path which leads from these intuitions into the land of ghostly schemata, the land of abstractions. There exists no word for these intuitions; when man sees them he grows dumb, or else he speaks only in forbidden metaphors and in unheard — of combinations of concepts. He does this so that by shattering and mocking the old conceptual barriers he may at least correspond creatively to the impression of the powerful present intuition.

 
Friedrich Nietzsche
 

Nothing is more important than the formation of fictional concepts, which teach us at last to understand our own.

 
Ludwig Wittgenstein
 

We are saddled with a culture that hasn't advanced as far as science. Scientific man is already on the moon, and yet we are still living with the moral concepts of Homer. Hence this upset, this disequilibrium that makes weaker people anxious and apprehensive, that makes it so difficult for them to adapt to the mechanism of modern life. ... We live in a society that compels us to go on using these concepts, and we no longer know what they mean. In the future — not soon, perhaps by the twenty-fifth century — these concepts will have lost their relevance. I can never understand how we have been able to follow these worn-out tracks, which have been laid down by panic in the face of nature. When man becomes reconciled to nature, when space becomes his true background, these words and concepts will have lost their meaning, and we will no longer have to use them.

 
Michelangelo Antonioni
 

None of the Marxist concepts (literally – not a single one!) matches the logical rules of scientific concepts.

 
Aleksandr Zinovyev
 

All significant concepts of the modern theory of the state are secularized theological concepts not only because of their historical development—in which they were transferred from theology to the theory of the state, whereby, for example, the omnipotent God became the omnipotent lawgiver—but also because of their systematic structure, the recognition of which is necessary for a sociological consideration of these concepts. The exception in jurisprudence is analogous to the miracle in theology.

 
Carl Schmitt
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