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hal-00192557, version 1

Five Conferences on Undecidability

Nicolas Bouleau (Author to contact preferably) 1, Jean-Yves Girard 2, Alain Louveau 3

Five Conferences on Undecidability (1983) 57

Abstract: These five lectures on undecidability were given to students with a good level in mathematics but with no special knowledge on logic. The first conference presents the formalization of mathematics with a short historical survey, the language of first order predicates and the axioms of set theory. The second and third lectures explain the incompleteness phenomena from the Hilbert program until Gödel's theorems with a presentation of the sequent calculus of Gentzen.The fourth talk deepens model theory reasoning in the case of the continuum hypothesis, and the last conference gives examples of effective computability results.

  • 1:  Centre International de Recherche sur l'Environnement et le Développement (CIRED)
  • Centre de coopération internationale en recherche agronomique pour le développement [CIRAD] : UMR56 – CNRS : UMR8568 – École des Hautes Études en Sciences Sociales [EHESS] – Ecole des Ponts ParisTech – Ecole Nationale du Génie Rural des Eaux et Forêts
  • 2:  Institut de mathématiques de Luminy (IML)
  • CNRS : UMR6206 – Université de la Méditerranée - Aix-Marseille II
  • 3:  Institut de Mathématiques de Jussieu (IMJ)
  • CNRS : UMR7586 – Université Pierre et Marie Curie [UPMC] - Paris VI – Université Paris VII - Paris Diderot
  • Domain : Mathematics/Logic
  • Keywords : undecidability – set theory – predicate – logic – Hilbert program – incompleteness – consistency – recursive function – sequent – ordinal – cardinal – continuum – algorithm
 
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  • From: Nicolas Bouleau <>
  • Submitted on: Wednesday, 28 November 2007 15:13:45
  • Updated on: Thursday, 29 November 2007 14:47:05