Transfinite number — Transfinite numbers are cardinal numbers or ordinal numbers that are larger than all finite numbers, yet not necessarily absolutely infinite. The term transfinite was coined by Georg Cantor, who wished to avoid some of the implications of the… … Wikipedia
transfinite number — Math. an infinite cardinal or ordinal number. [1900 05] * * * ▪ mathematics denotation of the size of an infinite collection of objects. Comparison of certain infinite collections suggests that they have different sizes even though they are … Universalium
transfinite number — Math. an infinite cardinal or ordinal number. [1900 05] … Useful english dictionary
number — The natural numbers are 0, 1, 2, 3… The integers are…–3, –2, –1, 0, 1, 2, 3…The rationals, as their name implies, measure ratios: any number that can be written as a/b, where a and b are integers, and b ? 0 (in other words, values of x that give… … Philosophy dictionary
Transfinite arithmetic — In mathematics, transfinite arithmetic is the generalization of elementary arithmetic to infinite quantities like infinite sets. It was originally invented by the German mathematician Georg Cantor. See also * transfinite number * cardinal… … Wikipedia
transfinite — /trans fuy nuyt/, adj. 1. going beyond or surpassing the finite. n. 2. See transfinite number. [1900 05; TRANS + FINITE] * * * … Universalium
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 — [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
Number — For other uses, see Numbers (disambiguation). A number is a mathematical object used to count and measure. In mathematics, the definition of number has been extended over the years to include such numbers as zero, negative numbers, rational… … Wikipedia
number game — Introduction any of various puzzles and games that involve aspects of mathematics. Mathematical recreations comprise puzzles and games that vary from naive amusements to sophisticated problems, some of which have never been solved.… … Universalium