philosophers. Cantor's theorem implies that there are sets having cardinality greater than the infinite cardinality of the set of natural numbers. Cantor's argument...

philosophical objections; see Controversy over Cantor's theory. Cantor, a devout Lutheran Christian, believed the theory had been communicated to him by...

Controversy over Cantor's theory). Dedekind's algebraic style only began to find followers in the 1890s Despite the controversy, Cantor's set theory gained...

for the comprehension scheme. Cantor's first uncountability proof Continuum hypothesis Controversy over Cantor's theory Diagonal lemma the diagonalisation...

Schröder–Bernstein theorem Cantor's first uncountability proof Controversy over Cantor's theory Abhijit Dasgupta (2013). Set Theory: With an Introduction to...

mathematics Mathematical logic Brouwer–Hilbert controversy Church–Turing thesis Controversy over Cantor's theory Epistemology Euclid's Elements Hilbert's problems...

supported by David Hilbert. See Controversy over Cantor's theory for more. Within the framework of Zermelo–Fraenkel set theory, the axiom of power set guarantees...

and Gottfried Wilhelm Leibniz over who had first discovered calculus. The question was a major intellectual controversy, beginning in 1699 and reaching...

excluded middle..." Rejecting the law of the excluded middle, as extended over Cantor's completed infinite, implied rejecting Hilbert's axiomatic system, in...

Leibniz independently of each other. An argument over priority led to the Leibniz–Newton calculus controversy which continued until the death of Leibniz in...

creation–evolution controversy began in Europe and North America in the late 18th century, when new interpretations of geological evidence led to various theories of...

this are said to be "uncountable". Cantor's set theory led to the axiomatic system of Zermelo–Fraenkel set theory (ZFC), now the most common foundation...

a contradiction in his set theory. 1904 - Edward Vermilye Huntington develops the back-and-forth method to prove Cantor's result that countable dense...

threads. There are three historical roots of group theory: the theory of algebraic equations, number theory and geometry. Joseph Louis Lagrange, Niels Henrik...

also since rejected Cantor's arguments, including David Abulafia and Robert E. Lerner. Conrad Leyser, summarizing the controversy in his 2016 introduction...

theories 1941 Pearl Harbor advance-knowledge conspiracy theory 2004 Madrid train bombings controversies 2005 London July bombings conspiracy theories...

appeared separately as Georg Cantor Leipzig: B. G. Teubner and is abridged in Cantor's Gesammelte Abhandlungen. 1930–1931 (5691). "אמונות ודעות לאור מדעי הטבע"...

information theory, and brought it to immediate worldwide attention, was the publication of Claude E. Shannon's classic paper "A Mathematical Theory of Communication"...

foundations of mathematics (particularly proof theory). He adopted and defended Georg Cantor's set theory and transfinite numbers. In 1900, he presented...

implies different sizes of infinity, per Cantor's diagonal argument. This led to the controversy over Cantor's set theory. In the same period, various areas...

all of mathematics on Cantor's set theory. Here, the emergence of Russell's paradox and similar antinomies of naïve set theory raised the possibility...

introduction to Cantor's mathematics of infinite sets. Infinite Reflections Archived 2009-11-05 at the Wayback Machine, by Peter Suber. How Cantor's mathematics...

second group of logicians, the set-theorists, emerged with Georg Cantor's "set theory" (1870–1890) but were driven forward partly as a result of Russell's...

and age of transition. Blanchard's typology has attracted significant controversy, especially following the 2003 publication of J. Michael Bailey's book...

the prime number theorem. 1908 – Ernst Zermelo axiomizes set theory, thus avoiding Cantor's contradictions. 1908 – Josip Plemelj solves the Riemann problem...

The Investiture Controversy or Investiture Contest (Latin: Controversia de Investitura, German: Investiturstreit, pronounced [ɪnvɛstiˈtuːɐ̯ˌʃtʁaɪt] )...

included an analysis of Dilworth's "A correction in set theory", an attempted refutation of Cantor's diagonal method. The suit was dismissed in 1996 due to...

A timeline of events related to  information theory,  quantum information theory and statistical physics,  data compression,  error correcting codes and...

infinity and has become the common language of nearly all mathematics. Cantor's set theory, and the rise of mathematical logic in the hands of Peano, L.E.J...

axiom of power set; a vital part of Zermelo–Fraenkel set theory. Moreover, in 1899, Cantor's paradox was discovered. It postulates that there is no set...