Thus, in a sense, mathematics has been most advanced by those who distinguished themselves by intuition rather than by rigorous proofs.

The developing science departs at the same time more and more from its original scope and purpose and threatens to sacrifice its earlier unity and split into diverse branches.

The greatest mathematicians, as Archimedes, Newton, and Gauss, always united theory and applications in equal measure.

Everyone knows what a curve is, until he has studied enough mathematics to become confused through the countless number of possible exceptions.

Thus, in a sense, mathematics has been most advanced by those who distinguished themselves by intuition rather than by rigorous proofs.

Every one who understands the subject will agree that even the basis on which the scientific explanation of nature rests is intelligible only to those who have learned at least the elements of the differential and integral calculus as well as analytical geometry.

Projective geometry has opened up for us with the greatest facility new territories in our science and has rightly been called the royal road to our particular field of knowledge.

No matter how deep a study you make. What you really have to rely on is your own intuition and when it comes down to it, you really don't know what's going to happen until you do it.

Listen to your intuition. It will tell you everything you need to know.

It is always with excitement that I wake up in the morning wondering what my intuition will toss up to me, like gifts from the sea. I work with it and rely on it. It's my partner.

Walt had a marvelous intuition. And because he understood people very well, liked them and had great respect for people, there was nothing cynical about Walt.

I may have been lucky with some sort of intuition, but I believe in training a great deal.

Intuition is the clear conception of the whole at once.

Intuition is a spiritual faculty and does not explain, but simply points the way.

A woman uses her intelligence to find reasons to support her intuition.

He did not arrive at this conclusion by the decent process of quiet, logical deduction, nor yet by the blinding flash of glorious intuition, but by the shoddy, untidy process halfway between the two by which one usually gets to know things.

All great men are gifted with intuition. They know without reasoning or analysis, what they need to know.

Faith is a passionate intuition.

The smallest flower is a thought, a life answering to some feature of the Great Whole, of whom they have a persistent intuition.

I feel there are two people inside me - me and my intuition. If I go against her, she'll screw me every time, and if I follow her, we get along quite nicely.

Roosevelt's humor was broad, his manner friendly. Of wit there was little; of philosophy, none. What did he possess? Intuition, inspiration, love of adventure.

As you see, I do not treat the creation of fiction, that to say the invention and development of fantasies, as a form of abstract thought. I dont wish to deny the uses of the intellect, but sometimes one has the intuition that the intellect by itself will lead one nowhere.

When a scientist is ahead of his times, it is often through misunderstanding of current, rather than intuition of future truth. In science there is never any error so gross that it won't one day, from some perspective, appear prophetic.

Conversion for me was not a Damascus Road experience. I slowly moved into an intellectual acceptance of what my intuition had always known.

Men have been found to deny woman intellect; they have credited her with instinct, with intuition, with a capacity to correlate cause and effect much as a dog connects its collar with a walk.

The creative is the place where no one else has ever been. You have to leave the city of your comfort and go into the wilderness of your intuition.

Good design begins with honesty, asks tough questions, comes from collaboration and from trusting your intuition.

Mathematics as an expression of the human mind reflects the active will, the contemplative reason, and the desire for aesthetic perfection. Its basic elements are logic and intuition, analysis and construction, generality and individuality.

A lady is smarter than a gentleman, maybe, she can sew a fine seam, she can have a baby, she can use her intuition instead of her brain, but she can't fold a paper in a crowded train.

An absolute can only be given in an intuition, while all the rest has to do with analysis.

Intuition is a suspension of logic due to impatience.

Intuition is reason in a hurry.

All perceiving is also thinking, all reasoning is also intuition, all observation is also invention.

The intuition of free will gives us the truth.

Mathematical reasoning may be regarded rather schematically as the exercise of a combination of two facilities, which we may call intuition and ingenuity.

Trusting our intuition often saves us from disaster.

The reason is that they define how I have gone about my business. I have trusted to intuition. I did it at the beginning. I do it even now. I have no idea how things might turn out, where in my writing I might go next.

God gave women intuition and femininity. Used properly, the combination easily jumbles the brain of any man I've ever met.

It is through science that we prove, but through intuition that we discover.

But, you know, when I choose a film I need to believe in it and believe I can do something special with it, and after a while that means not trying to judge or analyze why I should do it. You have to follow this intuition thing, which is a mystery to me.

Sex and beauty are inseparable, like life and consciousness. And the intelligence which goes with sex and beauty, and arises out of sex and beauty, is intuition.

Intuition does not in itself amount to knowledge, yet cannot be disregarded by philosophers and psychologists.

You have to leave the city of your comfort and go into the wilderness of your intuition. What you'll discover will be wonderful. What you'll discover is yourself.

The only real valuable thing is intuition.

Thus, in a sense, mathematics has been most advanced by those who distinguished themselves by intuition rather than by rigorous proofs.

There is no logical way to the discovery of these elemental laws. There is only the way of intuition, which is helped by a feeling for the order lying behind the appearance.

Cease trying to work everything out with your minds. It will get you nowhere. Live by intuition and inspiration and let your whole life be Revelation.

I never took sheet music seriously. I could do better myself just by listening to other people and using my own intuition.

What's better, a poetic intuition or an intellectual work? I think they complement each other.