No one will expel us from the paradise that Cantor has created for us.
TOPICS: infinity, Cantor
The finest product of mathematical genius and one of the supreme achievements of purely intellectual human activity.
TOPICS: Cantor, genius, infinity, set theory
Hilbert was referring specifically to Cantor’s set theory, which for the first time allowed a mathematically rigorous definition of infinity.
Zeno was concerned with three problems… These are the problem of the infinitesimal, the infinite, and continuity…From his to our own day, the finest intellects of each generation in turn attacked these problems, but achieved broadly speaking nothing…Weierstrass, Dedekind, and Cantor,…have completely solved them. Their…solutions are so clear as to leave no longer the slightest doubt or difficulty. This achievement is probably the greatest of which our age can boast.
TOPICS: Cantor, infinity