Georg Cantor
Father of set theory, Georg Cantor proves to be one of the pioneers of a reflection on the foundations of mathematics that will contribute to shifting the history of sciences. At the heart of conjectures, some of which are still unresolved today, sometimes rejected by mathematicians of his time, he will remain the man who sought to tame the infinite. Multiplicity of infinities, continuum hypothesis, unexpected relations between certain sets of numbers, sufficient conditions for there to exist bijections between two sets or, on the contrary, that there are none...\r\nCantor frenetically clears all the groundwork, sometimes making a few errors or being unable to explain certain paradoxes, but he opens the door to a new approach to the foundation of mathematics that will survive him for a long time!
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A journey into infinity | Tangente
While many mathematicians toiled in the footsteps of their predecessors, Cantor opened up an entirely new field that many of his colleagues refused to enter. This journey through the different infinities proved to be both fascinating and fruitful.
Cantor−Bernstein:
Georg Cantor left his mark on the history of mathematics through his study of infinite sets. The Cantor–Bernstein theorem shows how a few results that are obvious for finite sets generalize to infinite sets… provided one takes a serious look at the question.
A passion for Goldbach's conjecture | Tangente
In set theory, which Cantor founded, intuition has little place. Yet his approach to open mathematical problems relied more on intuition than on rigorous reasoning. His interest in Goldbach's conjecture is a case in point.
The barber was a woman
The barber paradox is said to be just the thing for dazzling people at parties. Although it serves an educational purpose by illustrating one of the most fundamental results in set theory, taken out of context it may well backfire on you!