by Jean Barbet | Jun 24, 2020 | Set Theory
Naive set theory or “potato science” is the natural (and understandable!) foundation of mathematical science. “I know what time is. If you ask me, I don’t know anymore.” Augustine. This insightful quote from Augustine emphasises that... 
by Jean Barbet | Jun 22, 2020 | Number Theory, Set Theory
Mathematical science does not seek to define the notion of a natural number, but to understand the set of natural numbers. “Natural numbers have been made by God, everything else is the work of men”. Leopold Kronecker 1.We don’t define the natural... 
by Jean Barbet | Jun 20, 2020 | Number Theory, Set Theory
The real numbers are all the “quantities” that we can order, and we can “construct” them in various ways thanks to set theory. “Numbers govern the world.” Pythagoras The real numbers idealise all the “points” of the...