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In linguistics, ordinal numerals or ordinal number words are words representing position or rank in a sequential order; the order may be of size, importance, chronology, and so on (e.g., "third", "tertiary"). They differ from cardinal numerals, which represent quantity (e.g., "three") and other types of numerals.
In set theory, an ordinal number, or ordinal, is a generalization of ordinal numerals (first, second, n th, etc.) aimed to extend enumeration to infinite sets. [ 1] A finite set can be enumerated by successively labeling each element with the least natural number that has not been previously used.
It includes Ñ for Spanish, Asturian and Galician, the acute accent, the diaeresis, the inverted question and exclamation marks (¿, ¡), the superscripted o and a (º, ª) for writing abbreviated ordinal numbers in masculine and feminine in Spanish and Galician, and finally, some characters required only for typing Catalan and Occitan, namely ...
In written languages, an ordinal indicator is a character, or group of characters, following a numeral denoting that it is an ordinal number, rather than a cardinal number. In English orthography, this corresponds to the suffixes ‑st, ‑nd, ‑rd, ‑th in written ordinals (represented either on the line 1st, 2nd, 3rd, 4th or as superscript ...
A list of articles about numbers (not about numerals). Topics include powers of ten, notable integers, prime and cardinal numbers, and the myriad system.
Numbers used to denote the denominator of a fraction are known linguistically as "partitive numerals". In spoken English, ordinal numerals and partitive numerals are identical with a few exceptions. Thus "fifth" can mean the element between fourth and sixth, or the fraction created by dividing the unit into five pieces.
Main article: list of numeral systems. Decimal: The standard Hindu–Arabic numeral system using base ten. Binary: The base-two numeral system used by computers, with digits 0 and 1. Ternary: The base-three numeral system with 0, 1, and 2 as digits. Quaternary: The base-four numeral system with 0, 1, 2, and 3 as digits.
The von Neumann cardinal assignment is a cardinal assignment that uses ordinal numbers. For a well-orderable set U, we define its cardinal number to be the smallest ordinal number equinumerous to U, using the von Neumann definition of an ordinal number. More precisely: where ON is the class of ordinals. This ordinal is also called the initial ...