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
No path of flowers leads to glory, I only want Hercules and his works to be a witness. (La Fountaine.) The first event I remembered was a terrible cataclysm that deprived me of all of my family at once, and … Read More
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
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
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
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
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
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
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
“Lovely luck! Here I am aboard, at the moment when I had no desire to embark! That’s fine, life is safe … but where are we going on this unknown ship? …..” Such was my monologue, hiding me as close … Read More
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
We were together further than I expected. Orienting myself as best as I could, I returned straight to our beautiful anthill, when I met a deserted, mountainous, arid place, in which I had to run the greatest dangers. It was … Read More
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