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"Thus, in a sense, mathematics has been most advanced by those who distinguished themselves by intuition rather than by rigorous proofs."
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"Gytha Ogg, you wouldn't be a witch if you couldn't jump to conclusions, right? Nanny nodded. "Oh, yes. There was no shame in it. Sometimes there wasn't time to do anything else but take a flying leap. Sometimes you had to trust to experience and intuition and general awareness and take a running jump. Nanny herself could clear quite a tall conclusion from a standing start."

"Intuition is unconscious accumulated experience informing judgement in real time."

"HOW CAN YOU KNOW THIS? the Voice demanded."I look at things and think about them, Folly replied. "And use my intuition, of course, and deduction and induction, as well as any historical or theoretical models that seem to apply."

"I'd just like to reiterate that intuition and feeling are two different things. "Feeling" describes the product of emotions while "intuition" describes a honed internal skill of knowing. While feelings will change as emotions come and go; intuition is a description of a known truth whether or not tangible to logic or reason, at the moment."

"You can find the answers to the most complicated questions of life from your deepest self. Pay attention and listen."
Explore more quotes by Felix Klein

"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."

"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."

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