principle of abstractionmathematics

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  • function in set theory ( in set theory: Essential features of Cantorian set theory )

    ...of appropriate, specific objects, the result is a declarative sentence that is true or false. Given any formula S(x) that contains the letter x (and possibly others), Cantor’s principle of abstraction asserts the existence of a set A such that, for each object x, x ∊ A if and only if S(x) holds. (Mathematicians later...

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principle of abstraction. (2009). In Encyclopædia Britannica. Retrieved January 08, 2009, from Encyclopædia Britannica Online: http://www.britannica.com/EBchecked/topic/1999/principle-of-abstraction

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