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History and Culture
A genius off the beaten track
In the scientific world, Bertrand Russell is known first and foremost as a logician and philosopher. His contribution cannot be understood without grasping the major shift then taking place in the development of mathematics: this was the era of the "foundational crisis."
BERTRAND HAUCHECORNEJun 21, 2022
History and Culture
Wittgenstein and the philosophy of mathematics | Tangente
The relationship between language and reality lies at the heart of Wittgenstein's thought. The issue takes on its full significance when it comes to mathematical entities. What if philosophers speculating about the rigorous logical foundations of these abstractions were on the wrong track?
REMY ROMAINApr 25, 2023
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Those darn paradoxes! (2) — Mathematical note | Tangente
God exists because mathematics is consistent, and the devil exists because we cannot prove it...
PHILIPPE BOULANGEROct 7, 2016
Math for everyone
The paradoxes that shook mathematics
What a devilish theory Georg Cantor created with set theory! So thought some mathematicians at the turn of the 20th century, when a series of paradoxes seemed to threaten the foundations of mathematics. This prompted a reassessment of the role of logic.
BERTRAND HAUCHECORNEJan 22, 2020