transfinite number

(redirected from Transfinite ordinal)
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Related to Transfinite ordinal: Transfinite cardinal

transfinite number

n.
1. A transfinite cardinal number.
2. A transfinite ordinal number.
American Heritage® Dictionary of the English Language, Fifth Edition. Copyright © 2016 by Houghton Mifflin Harcourt Publishing Company. Published by Houghton Mifflin Harcourt Publishing Company. All rights reserved.

transfinite number

n
(Mathematics) a cardinal or ordinal number used in the comparison of infinite sets for which several types of infinity can be classified: the set of integers and the set of real numbers have different transfinite numbers.
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References in periodicals archive ?
Let [omega] be the first transfinite ordinal and let [OMEGA] be the first uncountable transfinite ordinal.
Rather, what is generated through these principles is an awareness of transfinite ordinal numbers whence they become objects of cognition (see Ges.
In the field of analysis, Gray distinguishes between early foundational efforts (Cauchy's arithmetization, Weierstrass's rigorization) and later more abstract developments in analyzing the nature and meaning of numbers (Dedekind on real numbers and natural numbers, Cantor on transfinite ordinal and cardinal numbers).