A Quote by Morris Kline
Mathematicians create by acts of insights and intuition. Logic then sanctions the conquests of intuition.
Related Quotes
Logic merely sanctions the conquests of the intuition.
Intuition is a combination of insight and imagination that was once attributed to spiritual communication. Mathematicians call it 'fuzzy logic,' drawing conclusions from vague or subjective input. The mind becomes aware without the direct intervention of reasoning. Once you can imagine something you can begin the process of creating it. Executives use intuition to make many product, investment, and hiring decisions, even if they deny it. Success in business may depend on an accurate gut.
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.
Intuition is the innate ability in everyone to perceive truth directly - not by reason, logic, or analysis, but by a simple knowing from within. That is the very meaning of the word "intuition": to know, or understand from within - from one's own self, and from the heart of whatever one is trying to understand. Intuition is the inner ability to see behind the outer forms of things to their inner essence.
A scientist works largely by intuition. Given enough experience, a scientist examining a problem can leap to an intuition as to what the solution 'should look like.' ... Science is ultimately based on insight, not logic.
It is not rational to assume, without evidence, that rationality can disclose everything about the world, just because it can disclose some things. Our intuition in favour of rationality, where we are inclined to use it, is just that - an intuition. Reason is founded in intuition and ends in intuition, like a pair of massive bookends.
Leaders trust their guts. "Intuition" is one of those good words that has gotten a bad rap. For some reason, intuition has become a "soft" notion. Garbage! Intuition is the new physics. It's an Einsteinian, seven-sense, practical way to make tough decisions. Bottom line, circa 2001 to 2010: The crazier the times are, the more important it is for leaders to develop and to trust their intuition.
'Arrival' talks very little about language and how to precisely dissect a foreign language. It's more a film on intuition and communication by intuition, the language of intuition.
Method helps intuition when it is not transformed into dictatorship. Intuition augments method if it does not instill anarchy. In every moment of our semiotic existence, method and intuition complement one another.
When one devotes oneself to meditation, mental burdens, unnecessary worries, and wandering thoughts drop off one by one; life seems to run smoothly and pleasantly. A student may now depend on intuition to make decisions. As one acts on intuition, second thought, with its dualism, doubt and hesitation, does not arise.
I'm saying that we should trust our intuition. I believe that the principles of universal evolution are revealed to us through intuition. And I think that if we combine our intuition and our reason, we can respond in an evolutionary sound way to our problems.
Intuition comes from the whole person, from a place that includes the conscious and the unconscious. The total result of all feelings and perceptions manifests spontaneously through intuition. Intuition gives expression to the feelings; that expression is unique and perfectly fitted to the needs of the moment.
The more that you act on your intuition fearlessly, the more your intuition will serve you. Intuition is the ear of the soul.
I would say, if you're a musician then you probably have some capacity and some intuition. You've got to trust that intuition and be true to what compels you. There will be a lot of things along the way that will try to remove you from that, and if you do, then I think you are diminished. If you stay with it, then you have something that's real.
If your intuition is telling you not to do something, then don't. Your intuition is not stupid.
Angels can help us understand what intuition means in a personal way. Angels are actually in charge of a large part of our intuitive self. Viewing intuition from the perspective of angel consciousness, we can say that intuition is our way of tapping into a higher power for guidance and awareness.
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