Elements of set theory and recursive arguments

Authors

  • Giuseppe Devillanova Politecnico di Bari
  • Giovanni Molica Bisci Università degli Studi di Urbino, Carlo Bo

DOI:

https://doi.org/10.1478/AAPP.99S1A17

Keywords:

Ordered field, Completenees, Algebraic structures, Archimedean fields

Abstract

These notes reflect partially the contents of a lecture given by the second author during the International Workshop on New Horizons in Teaching Science in Messina on June 2018. The intention of this lecture was to present a concise and self–contained introduction to the construction of the real field as the unique, up to increasing isomorphism, Dedekind complete totally ordered field.

Author Biographies

  • Giuseppe Devillanova, Politecnico di Bari
    Dipartimento di Meccanica, Matematica e Management, Via Orabona, 4, 70126 Bari
  • Giovanni Molica Bisci, Università degli Studi di Urbino, Carlo Bo
    Dipartimento di Scienze Pure e Applicate (DiSPeA), Piazza della Repubblica 13, 61029 Urbino (Pesaro e Urbino)

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Published

2021-09-30

Issue

Vol 99, SUPPL NO 1 (2021): New Horizons in Teaching Science 2019

Section

New Horizons in Teaching Science (Conference Proceedings)

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