We unfold out of the Idea of Space the propositions of geometry, which are plainly truths of the most rigorous necessity and universality. But if the idea of space were merely collected from observation of the external world, it could never enable or entitle us to assert such propositions: it could never authorize us to say that not merely some lines, but all lines, not only have, but must have, those properties which geometry teaches. Geometry in every proposition speaks a language which experience never dares to utter; and indeed of which she but half comprehends the meaning.
William WhewellRelated topics
experience geometry half idea language meaning necessity space unfold universalityRelated quotes
The mathematical thermology created by Fourier may tempt us to hope that, as he has estimated the temperature of the space in which we move, me may in time ascertain the mean temperature of the heavenly bodies: but I regard this order of facts as for ever excluded from our recognition. We can never learn their internal constitution, nor, in regard to some of them, how heat is absorbed by their atmosphere. We may therefore define Astronomy as the science by which we discover the laws of the geometrical and mechanical phenomena presented by the heavenly bodies.
Auguste Comte
Some students of philosophy have unreasonably high expectations of the subject. They expect it to provide them with a complete and detailed picture of the human predicament. They think that philosophy will reveal to them the meaning of life, and explain to them every facet of our complex existences. Now, although studying philosophy can illuminate fundamental questions about our lives, it does not provide anything like a complete picture, if indeed there could be such a thing. Studying philosophy isn't an alternative to studying art, literature, history, psychology, anthropology, sociology, politics, and science.
Nigel Warburton
Cheap music, childish images, the vulgate in language, in its crassest sense, can penetrate to the deeps of our necessities and dreams. It can assert irrevocable tenure there. The opening bars, the hammer-beat accelerando of Edith Piaf's Je ne regrette rien - the text is infantile, the tune stentorian, and the politics which enlisted the song unattractive - tempt every nerve in me, touch the bone with a cold burn and draw me into God knows what infidelities to reason, each time I hear the song, and hear it, uncalled for, recurrent inside me.
George Steiner
If every day a man takes orders in silence from an incompetent superior, if every day he solemnly performs ritual acts which he privately finds ridiculous, if he unhesitatingly gives answers to questionnaires which are contrary to his real opinions and is prepared to deny his own self in public, if he sees no difficulty in feigning sympathy or even affection where, in fact, he feels only indifference or aversion, it still does not mean that he has entirely lost the use of one of the basic human senses, namely, the sense of humiliation.
Václav Havel
Dialectical logic undoes the abstractions of formal logic and of transcendental philosophy, but it also denies the concreteness of immediate experience. To the extent to which this experience comes to rest with the things as they appear and happen to be, it is a limited and even false experience. It attains its truth if it has freed itself from the deceptive objectivity which conceals the factors behind the facts - that is, if it understands its world as a historical universe, in which the established facts are the work of the historical practice of man.
Herbert Marcuse