A Quote by Henri Poincare

Mathematical discoveries, small or great are never born of spontaneous generation They always presuppose a soil seeded with preliminary knowledge and well prepared by labour, both conscious and subconscious.
Mathematical discoveries, small or great are never born of spontaneous generation.
We have to understand there are two parts of our mind, there's the conscious and the subconscious. It's the subconscious that controls our behavior. It's the conscious mind where the intellect is resident. So the conscious mind is understanding information, but it's not internalizing it.
If theory is the role of the architect, then such beautiful proofs are the role of the craftsman. Of course, as with the great renaissance artists, such roles are not mutually exclusive. A great cathedral has both structural impressiveness and delicate detail. A great mathematical theory should similarly be beautiful on both large and small scales.
It is only through your conscious mind that you can reach the subconscious. Your conscious mind is the porter at the door, the watchman at the gate. It is to the conscious mind that the subconscious looks for all its impressions.
Genius consists not in making great discoveries, but in seeing the connection between small discoveries.
Imitation both unconscious and conscious is par excellence the educational method of the family. It is plain that a considerable part of the adaptation of living beings to their environment, i.e., of beings that are born plastic, is passed on from generation to generation through imitation. Were this not so, much if not all of the road traversed by one generation would have to be travelled by the next generation from the very beginning and without short-cuts. Consequently there would be little chance for the novel adaptation, the propitious individual variation, that constitutes progress.
One has only to contemplate the magnitude of this task to concede that the spontaneous generation of a living organism is impossible. Yet here we are-as a result, I believe, of spontaneous generation.
The seeds of great discoveries are constantly floating around us, but they only take root in minds well-prepared to receive them.
Every day, my daddy told me the same thing. 'Once a task is just begun, never leave it till it's done. Be the labour great or small, do it well or not at all.'
The soil needs the seed and the seed needs the soil. The one only has meaning with the other. It is the same thing with human beings. When male knowledge joins with female transformation, then the great magical union is created, and its name is wisdom. Wisdom means both to know and to transform.
One of the things meditation gives you is creativity because creativity really comes from the subconscious brain - intuition, imagination - so it's not like you can go there and say, I'm going to go be creative now. Maybe you can, but the real way you get creativity is, you know, you're taking a hot shower and great ideas come to you from the subconscious. Essentially, meditation opens a pipeline between the conscious and the subconscious.
Even as a very young man, I knew that my family is like a plant. Uproot it, and it will wilt. Pluck away at it, and it will die. But leave it to thrive in the soil, untouched, and it will weather both gods and winds. It is born with the soil, and it will live so long as the soil shall live.
... mathematical knowledge ... is, in fact, merely verbal knowledge. "3" means "2+1", and "4" means "3+1". Hence it follows (though the proof is long) that "4" means the same as "2+2". Thus mathematical knowledge ceases to be mysterious.
My opinion - nay more, my conviction - is that, in the present state of science, as you rightly say, spontaneous generation is a chimera; and it would be impossible for you to contradict me, for my experiments all stand forth to prove that spontaneous generation is a chimera.
Well organised displays of spontaneous support is one of the New Labour machine's specialities.
Knowledge is being applied to knowledge itself. It is now fast becoming the one factor in production, sidelining both capital and labour.
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