Definition of Ordinal number

1. Noun. The number designating place in an ordered sequence.

Exact synonyms: No., Ordinal
Generic synonyms: Number
Specialized synonyms: First, Number 1, Number One
Derivative terms: Ordinal

Definition of Ordinal number

1. Noun. (context: grammar) A word that expresses the relative position of an item in an ordered sequence. ¹

2. Noun. (arithmetic) A number used to denote position in a sequence. ¹

3. Noun. (mathematics) A generalized kind of number to denote the size of a well-ordered set. ¹

¹ Source:

Ordinal Number Pictures

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Lexicographical Neighbors of Ordinal Number

orderly sergeant
orders of magnitude
orders of operations
orders out
ordinal adjective
ordinal direction
ordinal indicator
ordinal indicators
ordinal number (current term)
ordinal numbers
ordinal rank
ordinal scale
ordinal scales
ordinal variable
ordinal variables

Literary usage of Ordinal number

Below you will find example usage of this term as found in modern and/or classical literature:

1. The Theory of Functions of a Real Variable and the Theory of Fourier's Series by Ernest William Hobson (1907)
"(1) follows from the fact that each «„ is the ordinal number of a segment of ... exists, of which ft is the ordinal number, and therefore the element which ..."

2. Proceedings of the London Mathematical Society by London Mathematical Society (1907)
"(a) Suppose that there is a greatest finite ordinal number n. Let w be the class of finite integer ordinal numbers ; then the proposition " m is a member of ..."

3. Science by American Association for the Advancement of Science (1909)
"We are now prepared to present the notion of ordinal number. ... Two like series are said to have the same ordinal number or the same order-type. ..."

4. An Etymological Dictionary of the English Language by Walter William Skeat (1893)
"order, used of an ordinal number. — Lat. orditi-, stem of ordo, ... an ordinal number.'— Lat. ordinal!*, in $ alike to the same Lat. source. ..."

5. Mathematische Annalen by Carl Neumann, Otto Blumenthal, Bartel Leendert Waerden, Adolph Mayer, David Hilbert, Alfred Clebsch, Albert Einstein, Constantin Carath�eodory, Erich Hecke, Felix Klein, Heinrich Behnke (1908)
"295), co denotes the first ordinal number of the (2 -(- y)th ... One ordinal-number f may determine many couples (y, <J) of P for which ..."

6. The Monist by Hegeler Institute (1912)
"Thus it consists in defining the ordinal number i by means of the cardinal number, and this explanation is enough to do away with any appearance of a ..."

7. Lectures on the Theory of Functions of Real Variables by James Pierpont (1912)
"This gives us a set whose ordinal number is <om. In each interval 2), let us take a set ... This gives a set of points whose ordinal number is w3, etc. ..."

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