Definition of Abstract numbers. Meaning of Abstract numbers. Synonyms of Abstract numbers

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Definition of Abstract numbers

Abstract numbers
Abstract Ab"stract` (#; 277), a. [L. abstractus, p. p. of abstrahere to draw from, separate; ab, abs + trahere to draw. See Trace.] 1. Withdraw; separate. [Obs.] The more abstract . . . we are from the body. --Norris. 2. Considered apart from any application to a particular object; separated from matter; existing in the mind only; as, abstract truth, abstract numbers. Hence: ideal; abstruse; difficult. 3. (Logic) (a) Expressing a particular property of an object viewed apart from the other properties which constitute it; -- opposed to concrete; as, honesty is an abstract word. --J. S. Mill. (b) Resulting from the mental faculty of abstraction; general as opposed to particular; as, ``reptile' is an abstract or general name. --Locke. A concrete name is a name which stands for a thing; an abstract name which stands for an attribute of a thing. A practice has grown up in more modern times, which, if not introduced by Locke, has gained currency from his example, of applying the expression ``abstract name' to all names which are the result of abstraction and generalization, and consequently to all general names, instead of confining it to the names of attributes. --J. S. Mill. 4. Abstracted; absent in mind. ``Abstract, as in a trance.' --Milton. An abstract idea (Metaph.), an idea separated from a complex object, or from other ideas which naturally accompany it; as the solidity of marble when contemplated apart from its color or figure. Abstract terms, those which express abstract ideas, as beauty, whiteness, roundness, without regarding any object in which they exist; or abstract terms are the names of orders, genera or species of things, in which there is a combination of similar qualities. Abstract numbers (Math.), numbers used without application to things, as 6, 8, 10; but when applied to any thing, as 6 feet, 10 men, they become concrete. Abstract or Pure mathematics. See Mathematics.
Abstract number
Number Num"ber, n. [OE. nombre, F. nombre, L. numerus; akin to Gr. ? that which is dealt out, fr. ? 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.

Meaning of Abstract numbers from wikipedia

- an abstract number or numerus numerans which is a number as a single entity. For example, "five apples" and "half of a pie" are concrete numbers, while...
- elementary algebra, the use of variables to represent numbers in com****tion and reasoning. The abstract perspective on algebra has become so fundamental to...
- between abstract and concrete entities. While there is no universally accepted definition, common examples illustrate the difference: numbers, sets, and...
- abstractions of a materially abstract process of accounting, using conceptual abstractions (numbers) to communicate its meaning. Abstract things are sometimes...
- adjectives, or adverbs that designate numbers. The distinction is drawn between the number five (an abstract object equal to 2+3), and the numeral five...
- CAS Number) is a unique identification number, ****igned by the Chemical Abstracts Service (CAS) in the US to every chemical substance described in the open...
- In computer science, an abstract data type (ADT) is a mathematical model for data types, defined by its behavior (semantics) from the point of view of...
- abstract numbers from as young as 6 months old while more recent studies by Izard et al. have shown that even newborns can perceive abstract numbers....
- information present in the abstract without consulting the full report. An abstract allows one to sift through copious numbers of papers for ones in which...
- of factoring large numbers into their prime factors. In abstract algebra, objects that behave in a generalized way like prime numbers include prime elements...