transfinite number

(redirected from Transfinite ordinals)
Also found in: Encyclopedia.
Related to Transfinite ordinals: 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.
Collins English Dictionary – Complete and Unabridged, 12th Edition 2014 © HarperCollins Publishers 1991, 1994, 1998, 2000, 2003, 2006, 2007, 2009, 2011, 2014
References in periodicals archive ?
The peras displays itself most directly in Grundlagen by way of the Hemmungs- oder Beschrankungsprinzip (principle of limitation) "through which certain limits are successively imposed upon the thoroughly endless generation process" (61) of transfinite ordinals allowing thereby quantitative comparisons.
Rather, what is generated through these principles is an awareness of transfinite ordinal numbers whence they become objects of cognition (see Ges.