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3 definitions found
 for Pure mathematics
From The Collaborative International Dictionary of English v.0.48 :

  Pure \Pure\, a. [Compar. Purer; superl. Purest.] [OE. pur,
     F. pur, fr. L. purus; akin to putus pure, clear, putare to
     clean, trim, prune, set in order, settle, reckon, consider,
     think, Skr. p? to clean, and perh. E. fire. Cf. Putative.]
     1. Separate from all heterogeneous or extraneous matter; free
        from mixture or combination; clean; mere; simple; unmixed;
        as, pure water; pure clay; pure air; pure compassion.
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              The pure fetters on his shins great.  --Chaucer.
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              A guinea is pure gold if it has in it no alloy. --I.
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     2. Free from moral defilement or quilt; hence, innocent;
        guileless; chaste; -- applied to persons. "Keep thyself
        pure." --1 Tim. v. 22.
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              Now the end of the commandment is charity out of a
              pure heart, and of a good conscience. --1 Tim. i. 5.
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     3. Free from that which harms, vitiates, weakens, or
        pollutes; genuine; real; perfect; -- applied to things and
        actions. "Pure religion and impartial laws." --Tickell.
        "The pure, fine talk of Rome." --Ascham.
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              Such was the origin of a friendship as warm and pure
              as any that ancient or modern history records.
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     4. (Script.) Ritually clean; fitted for holy services.
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              Thou shalt set them in two rows, six on a row, upon
              the pure table before the Lord.       --Lev. xxiv.
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     5. (Phonetics) Of a single, simple sound or tone; -- said of
        some vowels and the unaspirated consonants.
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     Pure-impure, completely or totally impure. "The inhabitants
        were pure-impure pagans." --Fuller.
     Pure blue. (Chem.) See Methylene blue, under Methylene.
     Pure chemistry. See under Chemistry.
     Pure mathematics, that portion of mathematics which treats
        of the principles of the science, or contradistinction to
        applied mathematics, which treats of the application of
        the principles to the investigation of other branches of
        knowledge, or to the practical wants of life. See
        Mathematics. --Davies & Peck (Math. Dict. )
     Pure villenage (Feudal Law), a tenure of lands by uncertain
        services at the will of the lord. --Blackstone.
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     Syn: Unmixed; clear; simple; real; true; genuine;
          unadulterated; uncorrupted; unsullied; untarnished;
          unstained; stainless; clean; fair; unspotted; spotless;
          incorrupt; chaste; unpolluted; undefiled; immaculate;
          innocent; guiltless; guileless; holy.
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From The Collaborative International Dictionary of English v.0.48 :

  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.]
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              The more abstract . . . we are from the body.
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     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.
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     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.
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                  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.
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     4. Abstracted; absent in mind. "Abstract, as in a trance."
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     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 mathematics or Pure mathematics. See
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From WordNet (r) 3.0 (2006) :

  pure mathematics
      n 1: the branches of mathematics that study and develop the
           principles of mathematics for their own sake rather than
           for their immediate usefulness

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