Guessing before proving! Need I remind you that it is so that all impo…

Henri Poincare
75 citations
Guessing before proving! Need I remind you that it is so that all important discoveries have been made?
Thought
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What is a good definition? For the philosopher or the scientist, it is a definition which applies to all the objects to be defined, and applies only to them; it is that which satisfies the rules of l … ▶
Doubt everything or believe everything: these are two equally convenient strategies. With either we dispense with the need for reflection.
For a long time the objects that mathematicians dealt with were mostly ill-defined; one believed one knew them, but one represented them with the senses and imagination; but one had but a rough pictu … ▶
Intuition is more important to discovery than logic.
It is the simple hypotheses of which one must be most wary; because these are the ones that have the most chances of passing unnoticed. ✨ Thermodynamique: Leçons professées pendant le p … ▶

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