Discovery is the privilege of the child: the child who has no fear of being once again wrong, of looking like an idiot, of not being serious, of not doing things like everyone else.
Alexander GrothendieckRead
The introduction of the cipher 0 or the group concept was general nonsense too, and mathematics was more or less stagnating for thousands of years because nobody was around to take such childish steps.
Interpretation
The progress of mathematics was hindered by a lack of innovative ideas and concepts, likening early mathematical developments to childish endeavors.
Alexander Grothendieck reflects on the historical stagnation in mathematics, attributing it to the absence of creativity in introducing essential concepts like the cipher 0 and group theory. He suggests that foundational ideas, which may seem trivial or childish, are crucial for the advancement of the field, emphasizing that significant progress often requires bold and innovative thinking.
In practice
In a lecture about the history of mathematics, one could use this quote to illustrate the importance of foundational concepts.
Discovery is the privilege of the child: the child who has no fear of being once again wrong, of looking like an idiot, of not being serious, of not doing things like everyone else.
If ever there was a slamming of the door in the face of constructive investigation, it is the word miracle. To a medieval peasant, a radio would have seemed like a miracle.
I did not come to NASA to make history.
It is the first duty of a hypothesis to be intelligible.
It would be wrong to assume that one must stay with a research programme until it has exhausted all its heuristic power, that one must not introduce a rival programme before everybody agrees that the point of degeneration has probably been reached.
The work of science is to substitute facts for appearances, and demonstrations for impressions.
If Providence has created the stars and the planets, man has called the cannonball into existence.
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