Henri Poincaré, The logic of infinity: The memory of Mr. Russel

Russell published in the American Journal of Mathematics, vol. XXX, under the title Mathematical Logics as Based on the Theory of Types, a memoir in which he relies on considerations quite similar to those which precede. After recalling some of … Read More

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RETURN TO THE COUNTRY – SEE AGAIN THE PORA LAND AND DIE

Everything has its reverse! Certainly, I lived in the midst of the most beautiful nature that can be seen; but already two months had passed and not without disenchantment. I will never be able to give an exact account of … Read More

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Henri Poincaré, The logic of infinity: The cardinal number

We must not forget the preceding considerations when defining the cardinal number. If we consider two collections, we may seek to establish a law of correspondence between the objects of these two collections, so that any object of the first … Read More

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Henri Poincaré, The logic of infinity: What a classification must be

Can the ordinary rules of logic be applied without change, as soon as we consider collections taking an infinite number of objects? This is a question we did not ask at first, but we were led to examine when the … Read More

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Henri Poincaré, Why space with three dimensions – Analysis Situs and intuition

I would like to add a remark which relates only indirectly to the foregoing; we have seen above the importance of the Analysis Situs and I explained that this is the real domain of geometric intuition. Does this intuition exist? … Read More

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The adventures of a red ant: XVII. VITALITY OF ANOMMAS – THE HEN PASSES IN FRONT OF THE NOSE

The adventures of a red ant: XVII. VITALITY OF ANOMMAS – THE HEN PASSES IN FRONT OF THE NOSE Before the end of the following week, I had eaten python like the others, we had surprised one in a swamp … Read More

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