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  1. 12 de ene. de 2023 · by. Paul R. Halmos. Topics. Naive set theory. Collection. opensource. Language. English. It is an amazing book by Paul R. Halmos on the subject of naive set theory.

  2. Naive Set Theory. Zermelo--Fraenkel set theory, which forms the main topic of the book, is a rigorous theory, based on a precise set of axioms. However, it is possible to develop the theory of sets considerably without any knowledge of those axioms.

    • Keith J. Devlin
    • 1993
  3. The purpose of the book is to tell the beginning student of advanced mathematics the basic set­ theoretic facts of life, and to do so with the minimum of philosophical discourse and logical formalism.

  4. 1.1 Naive Set Theory. Johns Hopkins University, Fall 2017. The Naive Concept of a Set. (Pseudo) Def 1.1.1. A set is a collection of elements. Examples: f5; 7; Platog fx j x is a Canadian citizeng, or, alternatively, fx : x is a Canadian citizeng ff5; 7g; fPlatog; Platog. N = fn j n is a natural numberg = f0; 1; 2; : : :g. N.B.

  5. We develop the notation and terminology of set theory, allowing construc­ tions of sets only if they are 'limited' in some way so as to avoid this paradox. Ultimately this procedure is not satisfactory; we need hard and fast rules.

  6. 2.1 Naive set theory. We start with the basic setting of naive set theory: ‚ The basic building blocks of naive set theory are sets, to be denoted by capital letters A, B, etc. Sets are basically “containers” collecting other objects which, at least in pure set theory, are themselves sets.