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Hace 3 días · A generalized form of the diagonal argument was used by Cantor to prove Cantor's theorem: for every set S, the power set of S—that is, the set of all subsets of S (here written as P(S))—cannot be in bijection with S itself.
Hace 6 días · Between the years 1874 and 1897, the German mathematician and logician Georg Cantor created a theory of abstract sets of entities and made it into a mathematical discipline. This theory grew out of his investigations of some concrete problems regarding certain types of infinite sets of real numbers.
Hace 4 días · Georg Cantor, expandió el infinito, ese concepto abstracto, fantasioso que servía para expresar algo del más allá. Cantor podría demostrar que había tantos puntos en una línea de un centímetro como a lo largo de todo el espacio.
Hace 3 días · It is also known as the Cantor–Bernstein theorem or Cantor–Schröder–Bernstein theorem, after Georg Cantor, who first published it (albeit without proof).
Hace 5 días · German mathematician Georg Cantor (1845–1918) was the creator of set theory and introduced the concept of transfinite numbers. Today his theories form the foundation of mathematics, but in his lifetime they were considered controversial.
4 de ago. de 2024 · Cantor. All of these debates came together through the pioneering work of the German mathematician Georg Cantor on the concept of a set. Cantor had begun work in this area because of his interest in Riemann’s theory of trigonometric series, but the problem of what characterized the set of all real numbers came to occupy him more ...
Hace 3 días · The modern study of set theory was initiated by Georg Cantor and Richard Dedekind in the 1870s. However, the discovery of paradoxes in naive set theory, such as Russell's paradox, led to the desire for a more rigorous form of set theory that was free of these paradoxes.
