# Infinity

Infinity. The ∞ symbol in several typefaces Infinity (symbol: ∞) is an abstract concept describing something without any limit and is relevant in a number of fields, predominantly mathematics and physics.

The English word infinity derives from Latin infinitas, meaning "being without finish", and which can be translated as "unboundedness", itself calqued from the Greek word apeiros, meaning "endless".[1] History[edit] Ancient cultures had various ideas about the nature of infinity. Infinite Ink: The Continuum Hypothesis by Nancy McGough.

By Nancy McGough (nm@noadsplease.ii.com) Overview 1.1 What is the Continuum Hypothesis?

Continuum hypothesis. In mathematics, the continuum hypothesis (abbreviated CH) is a hypothesis, advanced by Georg Cantor in 1878, about the possible sizes of infinite sets.

It states: There is no set whose cardinality is strictly between that of the integers and the real numbers. To Infinity and Beyond | Watch Free Documentary Online. Documentary examining current ideas about very large numbers and infinity in regards to mathematics and the observable universe.

By our third year, most of us will have learned to count. Once we know how, it seems as if there would be nothing to stop us counting forever. Georg Cantor. Georg Ferdinand Ludwig Philipp Cantor (/ˈkæntɔr/ KAN-tor; German: [ˈɡeɔʁk ˈfɛʁdinant ˈluːtvɪç ˈfɪlɪp ˈkantɔʁ]; March 3 [O.S.

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.