BabelNet

bn:03301427n

Noun Concept

Categories: Non-standard analysis, Real closed field, John Horton Conway, Infinity, Mathematical logic

surreal number surreal numbers Conway number Conway numbers surcomplex number

In mathematics, the surreal number system is a totally ordered proper class containing not only the real numbers but also infinite and infinitesimal numbers, respectively larger or smaller in absolute value than any positive real number. Wikipedia

Definitions

Examples

Relations

Sources

A totally ordered proper class containing the real numbers as well as hyperreal numbers such as infinity and infinitesimals. Wikidata

Any element of a field equivalent to the real numbers augmented with infinite and infinitesimal numbers (respectively larger and smaller (in absolute value) than any positive real number). Wiktionary

Element of an extension of the real numbers that includes infinite numbers and infinitesimals. Wiktionary (translation)

Conway's construction of surreal numbers relies on the use of transfinite induction. Wiktionary

Conway's approach was to build numbers from scratch using a construction inspired by his game theory research; the resulting class of surreal numbers proved much larger than the class of real numbers. Wiktionary

IS A

number

DIFFERENT FROM

surrealism

DISCOVERER OR INVENTOR

John Horton Conway

Wikipedia

surreal number

Wikidata

surreal number

Wiktionary

surreal number

Wikipedia Redirections

Conway number, Conway numbers, surcomplex number, surcomplex numbers, Surreal form, surreal number system, surreal numbers, Surreal Numbers: How Two Ex-Students Turned On to Pure Mathematics and Found Total Happiness, SurrealNumbers, surreals