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infinite
(redirected from infiniteness)

    Also found in: Dictionary/thesaurus, Legal 0.03 sec.
infinite
Maths
a. having an unlimited number of digits, factors, terms, members, etc.
b. (of a set) able to be put in a one-to-one correspondence with part of itself
c. (of an integral) having infinity as one or both limits of integration
infinite [′in·fə·nət]
(mathematics)
Larger than any fixed number.
(mathematics)infinite - 1. Bigger than any natural number. There are various formal set definitions in set theory: a set X is infinite if

(i) There is a bijection between X and a proper subset of X.

(ii) There is an injection from the set N of natural numbers to X.

(iii) There is an injection from each natural number n to X.

These definitions are not necessarily equivalent unless we accept the Axiom of Choice.

2. The length of a line extended indefinitely.

See also infinite loop, infinite set.
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An Ouroboros is a circular symbol that depicts a snake swallowing its own tail; it is often used to represent infiniteness.
Back to the drawing board: a proposal for adopting a listed species ... by Moore, W. Parker / UCLA Journal of Environmental Law & Policy
Derrida 1981: 212-213; my beklemtoning) </pre> <p>Dit is in die lig hiervan dat Derrida (1981: 220) oor die woord hymen soos volg opmerk: "What counts here is not the lexical richness, the semantic infiniteness of a word.
Om al lesende te dink, of, die dekonstruktiewe leeshandeling by de Beer, Fanie / Journal of Literary Studies
Hence we can show that: [yen] + 2 = [yen] [yen] + [yen] = [yen] [yen] / 2 = [yen] Second, without demonstrating the brilliant proof (which was created by Georg Cantor in the late nineteenth century), it can be stated that: * we can count the positive whole numbers; * they are countably infinite; * the 'numerical' size of the infiniteness is [yen]; but * the real numbers cannot be counted
Googols and infinity: John Gough intrigues us all with his tales of ... by Gough, John / Australian Primary Mathematics Classroom
 
 
 
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