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Infinity. The ∞ symbol in several typefaces History[edit] Ancient cultures had various ideas about the nature of infinity.


The ancient Indians and Greeks did not define infinity in precise formalism as does modern mathematics, and instead approached infinity as a philosophical concept. Early Greek[edit] Infinite Ink: The Continuum Hypothesis by Nancy McGough. Continuum hypothesis. This article is about the hypothesis in set theory.

Continuum hypothesis

For the assumption in fluid mechanics, see Fluid mechanics. In mathematics, the continuum hypothesis is a hypothesis about the possible sizes of infinite sets. Watch Free Documentary Online. Georg Cantor. Georg Ferdinand Ludwig Philipp Cantor (/ˈkæntɔr/ KAN-tor; German: [ˈɡeɔʁk ˈfɛʁdinant ˈluːtvɪç ˈfɪlɪp ˈkantɔʁ]; March 3 [O.S.

Georg Cantor

February 19] 1845 – January 6, 1918[1]) was a German mathematician, best known as the inventor of set theory, which has become a fundamental theory in mathematics. Cantor established the importance of one-to-one correspondence between the members of two sets, defined infinite and well-ordered sets, and proved that the real numbers are "more numerous" than the natural numbers.