transfinite
adjective Etymology: German transfinit, from trans- (from Latin) + finit finite, from Latin finitus Date: 1902 1. going beyond or surpassing any finite number, group, or magnitude 2. being or relating to the cardinal and ordinal numbers of infinite sets

New Collegiate Dictionary. 2001.

### Look at other dictionaries:

• transfinite — [transfī′nīt] adj. 1. extending beyond or surpassing the finite 2. Math. designating or of a cardinal or ordinal number that is larger than any positive integer …   English World dictionary

• transfinite — /trans fuy nuyt/, adj. 1. going beyond or surpassing the finite. n. 2. See transfinite number. [1900 05; TRANS + FINITE] * * * …   Universalium

• transfinite — adjective /trænsˈfaɪnaɪt/ a) Beyond finite. b) Relating to transfinite numbers. See Also: finite, infinite, transfinity …   Wiktionary

• transfinite — adj. going beyond what is finite; pertaining to cardinal or ordinal numbers that are contained in sets of infinite size (Mathematics) …   English contemporary dictionary

• transfinite — adjective Mathematics denoting a number corresponding to an infinite set in the way that a natural number counts members of a finite set …   English new terms dictionary

• transfinite — trans·finite …   English syllables

• transfinite — /trænsˈfaɪnaɪt/ (say trans fuynuyt) adjective (in mathematics) beyond any finite number or magnitude …   Australian English dictionary

• transfinite — adj. 1 beyond or surpassing the finite. 2 Math. (of a number) exceeding all finite numbers …   Useful english dictionary

• Transfinite induction — is an extension of mathematical induction to well ordered sets, for instance to sets of ordinals or cardinals. Transfinite induction Let P(α) be a property defined for all ordinals α. Suppose that whenever P(β) is true for all β < α, then P(α) is …   Wikipedia

• Transfinite Induktion — ist eine Beweistechnik in der Mathematik, die die von den natürlichen Zahlen bekannte Induktion auf beliebige wohlgeordnete Klassen verallgemeinert, zum Beispiel auf Mengen von Ordinalzahlen oder Kardinalzahlen, oder sogar auf die echte Klasse… …   Deutsch Wikipedia