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Ordinal indicator – Character(s) following an ordinal number (used when writing ordinal numbers, such as a super-script) Ordinal number – Generalization of "n-th" to infinite cases (the related, but more formal and abstract, usage in mathematics) Ordinal data, in statistics; Ordinal date – Date written as number of days since first day of ...
After all natural numbers comes the first infinite ordinal, ω, and after that come ω+1, ω+2, ω+3, and so on. (Exactly what addition means will be defined later on: just consider them as names.) After all of these come ω·2 (which is ω+ω), ω·2+1, ω·2+2, and so on, then ω·3, and then later on ω·4.
The ordinal category are based on ordinal numbers such as the English first, second, third, which specify position of items in a sequence. In Latin and Greek, the ordinal forms are also used for fractions for amounts higher than 2; only the fraction 1 / 2 has special forms.
The ordinal numbers are difficult to reconstruct due to their significant variation in the daughter languages. The following reconstructions are tentative: [ 20 ] "first" is formed with * pr̥h₃- (related to some adverbs meaning "forth, forward, front" and to the particle * prō "forth", thus originally meaning "foremost" or similar) plus ...
For example, 6.849999999999... = 6.85 and 6.850000000000... = 6.85. Finally, if all of the digits in a numeral are 0, the number is 0, and if all of the digits in a numeral are an unending string of 9s, you can drop the nines to the right of the decimal place, and add one to the string of 9s to the left of the decimal place.
To form the ordinal numerals we add -ti (m.), -ta (f.), -to (n.) to the basic numeral. Exception to this rule are the ordinal numerals first, second and third. If the basic word ends on the letter t and we add the suffixes for ordinal numerals, then a double t is generally produced.
The ordinals of the form ω α + 1 for any ordinal α > 0. These are the infinite successor primes, and are the successors of gamma numbers, the additively indecomposable ordinals. Factorization into primes is not unique: for example, 2×3 = 3×2, 2×ω = ω, (ω+1)×ω = ω×ω and ω×ω ω = ω ω. However, there is a unique factorization ...
Add the third page, and it is 23:7 in favour of this article. Four pages, 30:10. Five pages has the total at 39:11 - though that extra result refers to the set theory concept specifically as "transfinite ordinal numbers". The ratio therefore falls somewhere between 3:1 and 4:1 in favour of the sense described on this page.