## Elementary Set Theory, Part IThis book provides students of mathematics with the minimum amount of knowledge in logic and set theory needed for a profitable continuation of their studies. There is a chapter on statement calculus, followed by eight chapters on set theory. |

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This is a very basic, fundamental book on set theory.

It describes all the necessary concepts that are essential to construct a set and free from conceptual loop holes.

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algebra axiom of extension AXIOM OF PAIRING axiom of specification bijective mappings called cartesian product Cheung commutative law complement components consequent constitute a set contains no element defined definition denote diagram disjunction elementary geometry empty set equal equivalence class equivalence relation example EXERCISES F F F F T F false following statements following theorem Fundamental Concepts graph hence Hong Kong hypothesis integers inverse image iterated composition mapping f mathematical logic negation notation objects ordered pair x,y ordered triple plane points and lines postulate power set PROOF Prove quotient set real numbers represent respectively satisfied Section sentence set of departure set of destination set theory set which contains Show singleton statement calculus statement formulae statement function straight lines subset symbol three sets topological space topology truth functional composition truth table truth value ty(A valid formula write xeA and xeB