Romania targets at least one important mandate of European Commissioner

Romania is interested in one of the mandates of European Commissioners for regional policy, energy, transport and the environment. “We have not finished the regional policy mandate, so we could once again ask for this very important portfolio. So, I … Read More

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Henri Poincaré, The logic of infinity: The use of infinity

Is it possible to reason about objects that can notbe defined in a finite number of words? Is it even possible to talk about it knowing what one is talking about, and by saying something other than empty words? Or … Read More

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Global warming and gender equality are the priorities of Ursula von der Leyen

Ursula Gertrud von der Leyen (born Albrecht, on October 8, 1958) is a German politician and elected president of the European Commission. She was Germany’s Defense Minister from 2013 to 2019. Member of the center-right Christian Democratic Union (CDU), she … Read More

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

It is in a totally different direction that Mr. Zermelo is seeking the solution of the difficulties we have pointed out. He tries to establish a system of axioms a priori, which must allow him to establish all the mathematical … Read More

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Henri Poincaré, The logic of infinity: Axiom of reducibility

Russell introduces a new axiom which he calls axiom of reducibility. As I’m not sure I fully understood his thought, I will let him speak. “We assume, that every function is équivalent, for ail its value to some predicative function … Read More

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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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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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