Axiomatic Views of Aggregates

  • Domenico Cantone
  • Eugenio Omodeo
  • Alberto Policriti
Part of the Monographs in Computer Science book series (MCS)


In undertaking the first axiomatization of set theory, around 1908, Zermelo could refer simply to “set theory as it is historically given.” Today one must distinguish between set theory, which is a wide and varied panorama, and several set languages embellishing the landscape, that have arisen in part from epistemological, in part from practical motivations. The meaning of such languages is often provided by a system of axioms, subject to the deductive machinery of firstorder logic.


Transitive Closure Axiomatic System Peano Arithmetic Membership Relation Boolean Ring 
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Copyright information

© Springer Science+Business Media New York 2001

Authors and Affiliations

  • Domenico Cantone
    • 1
  • Eugenio Omodeo
    • 2
  • Alberto Policriti
    • 3
  1. 1.Dipartimento di Matematica e InformaticaUniversità di CataniaCataniaItaly
  2. 2.Dipartimento di Matematica Pura e ApplicataUniversità di L’AquilaL’AquilaItaly
  3. 3.Dipartimento di Matematica e InformaticaUniversità degli Studi di UdineUdineItaly

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