Dictionaries

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

The post Henri Poincaré, The logic of infinity: The use of infinity appeared first on SetThings.

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

The post Global warming and gender equality are the priorities of Ursula von der Leyen appeared first on SetThings.

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

The post Henri Poincaré, The logic of infinity: The memory of Mr. Zermelo appeared first on SetThings.

“The Reddish Polyergus, the most powerful ants of France by their courage in the fighting, form a people composed of four orders of citizens: males, females, neutrals or warriors … and slaves, workers conquered on suitable species. I am neutral, … Read More

The post The Adventures of a Red Ant appeared first on SetThings.

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

The post Henri Poincaré, The logic of infinity: Axiom of reducibility appeared first on SetThings.

On July 9, in Iaşi, a loud noise was heard as to be caused by the fall of a body from the sky. Silviu Gurlui, a professor at the Physics Faculty of Iasi, says that the shock was caused by … Read More

The post Meteorite fallen in Iasi, Romania appeared first on SetThings.

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

The post Henri Poincaré, The logic of infinity: The memory of Mr. Russel appeared first on SetThings.

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

The post Henri Poincaré, The logic of infinity: The cardinal number appeared first on SetThings.

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

The post Henri Poincaré, The logic of infinity: What a classification must be appeared first on SetThings.

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

The post Henri Poincaré, Why space with three dimensions – Analysis Situs and intuition appeared first on SetThings.