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All great men are gifted with intuition. They know without reasoning or analysis, what they need to know. |
| by Alexis Carrel |
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All perceiving is also thinking, all reasoning is also intuition, all observation is also invention.- Rudolf Arnheim
An absolute can only be given in an intuition, while all the rest has to do with analysis.
Mathematical reasoning may be regarded rather schematically as the exercise of a combination of two facilities, which we may call intuition and ingenuity.
I studied economics and made it my career for two reasons. The subject was and is intellectually fascinating and challenging, particularly to someone with taste and talent for theoretical reasoning and quantitative analysis.
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.
