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transfinite number

American  

noun

Mathematics.

  1. an infinite cardinal or ordinal number.

transfinite number British  

noun

  1. 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 & Unabridged" 2012 Digital Edition © William Collins Sons & Co. Ltd. 1979, 1986 © HarperCollins Publishers 1998, 2000, 2003, 2005, 2006, 2007, 2009, 2012
transfinite number Scientific  
/ trăns-fī′nīt′ /

  1. A number that is greater than any finite number.

Etymology

Origin of transfinite number

First recorded in 1900–05

Example Sentences

Examples are provided to illustrate real-world usage of words in context. Any opinions expressed do not reflect the views of Dictionary.com.

"Unless it were a transfinite number falling in love with a finite one—I suppose such things do happen, even in mathematics."

From The Voyage Out by Woolf, Virginia

Definitions and idiom definitions from Dictionary.com Unabridged, based on the Random House Unabridged Dictionary, © Random House, Inc. 2023

Idioms from The American Heritage® Idioms Dictionary copyright © 2002, 2001, 1995 by Houghton Mifflin Harcourt Publishing Company. Published by Houghton Mifflin Harcourt Publishing Company.