A Quote by Jacques Hadamard
The object of mathematical rigor is to sanction and legitimize the conquests of intuition, and there was never any other object for it.
Related Quotes
An absolute can only be given in an intuition, while all the rest has to do with analysis. We call intuition here the sympathy by which one is transported into the interior of an object in order to coincide with what there is unique andconsequently inexpressible in it. Analysis, on the contrary, is the operation which reduces the object to elements already known.
They [the mathematicians of the Enlightenment] defined their terms vaguely and used their methods loosely, and the logic of their arguments was made to fit the dictates of their intuition. In short, they broke all the laws of rigor and of mathematical decorum. The veritable orgy which followed the introduction of the infinitesimals... was but a natural reaction. Intuition had too long been held imprisoned by the severe rigor of the Greeks. Now it broke loose, and there were no Euclids to keep its romantic flight in check.
Contemplating an object fixedly with the mind, asking myself, 'What is it?' without thinking of any other object or relating it to anything else for hours on end.
Fear, as opposed to anxiety, has a definite object, which can be faced, analyzed, attacked, endured... anxiety has no object, or rather, in a paradoxical phrase, its object is the negation of every object.
As we speak of poetical beauty, so ought we to speak of mathematical beauty and medical beauty. But we do not do so; and that reason is that we know well what is the object of mathematics, and that it consists in proofs, and what is the object of medicine, and that it consists in healing. But we do not know in what grace consists, which is the object of poetry.
Go to the object. Leave your subjective preoccupation with yourself. Do not impose yourself on the object. Become one with the object. Plunge deep enough into the object to see something like a hidden glimmering there.
By the artist's seizing any one object from nature, that object no longer is part of nature. One can go so far as to say that theartist creates the object in that very moment by emphasizing its significant, characteristic, and interesting aspects or, rather, by adding the higher values.
We accepted this war for an object, a worthy object, and the war will end when that object is attained. Under God, I hope it never will until that time.
Nothing is more maddening than being questioned by the object of one's interest about the object of hers, should that object not be you.
It is necessary that the object that the artist is shaping, whether it be a vase of clay or a fishing boat, be significant of something other than itself. This object must be a sign as well as an object; a meaning must animate it, and make it say more than it is.
It is too early for politicians to presume on our forgetting that the public good, the real welfare of the great body of the people, is the supreme object to be pursued; and that no form of government whatever has any other value than as it may be fitted for the attainment of this object.
If the mind be fixed on the acquirement of any object, that object will be attained.
As soon as man applies his intelligence to any object at all, he unfailingly destroys the object.
Object in/ and space - the first impulse may be to give the object - a position - to place the object. (The object had a position to begin with.) Next - to change the position of the object. - Rauschenberg's early sculptures - A board with some rocks on it. The rocks can be anywhere on the board. - Cage's Japanese rock garden - The rocks can be anywhere (within the garden).
Well, think of what I’m doing to you right now. For me I’m the self, and you’re the object. For you, of course, it’s the exact opposite—you’re the self to you and I’m the object. And by exchanging self and object, we can project ourselves onto the other and gain self-consciousness. Volitionally.” “I still don’t get it, but it sure feels good.” “That’s the whole idea,” the girl said.
Happiness in this world, when it comes, comes incidentally. Make it the object of pursuit, and it leads us a wild-goose chase, and is never attained. Follow some other object, and very possibly we may find that we have caught happiness without dreaming of it.
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