Phrase guide

epsilon number

noun · 1 senses · updated from the 2026-07-25 local source snapshot

Definitions and examples are grouped by meaning. Pronunciation, history, word forms, translations, descendants, synonyms, antonyms, derived terms, and related words appear whenever the source provides them.

Sound

Pronunciation

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1

noun

Meaning 1

Any (necessarily transfinite) ordinal number α such that ω^α = α; (by generalisation) any surreal number that is a fixed point of the exponential map x → ωx.

Definition source: English Wiktionary via Wiktextract

Topics: mathematics, sciences, set-theory

Examples

  • 2014, Charles C. Pinter, A Book of Set Theory, 2014, Dover, [Revision of 1971 Addison-Wesley edition], page 203, Thus there is at least one epsilon number, namely ε0; we can easily show, in fact, that ε0 is the least epsilon number.

Meaning relationships

Synonyms: none provided

Antonyms: none provided

History

Etymology

From the Greek letter ε (“epsilon”), used to denote the numbers.

Across languages

Translations

1 source translations are retained for this English entry.

  • Italian: numero epsilon — type of transfinite or surreal number