What is "abstract number"

Number \Num"ber\ (n[u^]m"b[~e]r), n. [OE. nombre, F. nombre, L. numerus; akin to Gr. no`mos that which is dealt out, fr. ne`mein to deal out, distribute. See Numb, Nomad, and cf. Numerate, Numero, Numerous.]

1. That which admits of being counted or reckoned; a unit, or an aggregate of units; a numerable aggregate or collection of individuals; an assemblage made up of distinct things expressible by figures.

2. A collection of many individuals; a numerous assemblage; a multitude; many.

   Ladies are always of great use to the party they espouse, and never fail to win over numbers.
   --Addison.

3. A numeral; a word or character denoting a number; as, to put a number on a door.

4. Numerousness; multitude.

   Number itself importeth not much in armies where the people are of weak courage.
   --Bacon.

5. The state or quality of being numerable or countable.

   Of whom came nations, tribes, people, and kindreds out of number.
   --2 Esdras iii. 7.

6. Quantity, regarded as made up of an aggregate of separate things.

7. That which is regulated by count; poetic measure, as divisions of time or number of syllables; hence, poetry, verse; -- chiefly used in the plural.

   I lisped in numbers, for the numbers came.
   --Pope.

8. (Gram.) The distinction of objects, as one, or more than one (in some languages, as one, or two, or more than two), expressed (usually) by a difference in the form of a word; thus, the singular number and the plural number are the names of the forms of a word indicating the objects denoted or referred to by the word as one, or as more than one.

9. (Math.) The measure of the relation between quantities or things of the same kind; that abstract species of quantity which is capable of being expressed by figures; numerical value.

   Abstract number, Abundant number, Cardinal number, etc. See under Abstract, Abundant, etc.

   In numbers, in numbered parts; as, a book published in numbers.

n. A number used without application to things, as 6, 8, 10; but when applied to any thing, as 6 feet, 10 men, it becomes concrete.