One Hundred Years of Intuitionism (1907–2007) The Cerisy Conference /

With logicism and formalism, intuitionism is one of the main foundations for mathematics proposed in the twentieth century; and since the seventies, notably its views on logic have become important also outside foundational studies, with the development of theoretical computer science. The aim of th...

Πλήρης περιγραφή

Λεπτομέρειες βιβλιογραφικής εγγραφής
Συγγραφή απο Οργανισμό/Αρχή: SpringerLink (Online service)
Άλλοι συγγραφείς: Atten, Mark van (Επιμελητής έκδοσης), Boldini, Pascal (Επιμελητής έκδοσης), Bourdeau, Michel (Επιμελητής έκδοσης), Heinzmann, Gerhard (Επιμελητής έκδοσης)
Μορφή: Ηλεκτρονική πηγή Ηλ. βιβλίο
Γλώσσα:English
Έκδοση: Basel : Birkhäuser Basel, 2008.
Σειρά:Publications des Archives Henri Poincaré / Publications of the Henri Poincaré Archives
Θέματα:
Διαθέσιμο Online:Full Text via HEAL-Link
Πίνακας περιεχομένων:
  • Brouwer and Brouwerian intuitionism
  • Another look at Brouwer’s dissertation
  • Brouwerian infinity
  • The new intuitionism
  • Truth and experience of truth
  • The proper explanation of intuitionistic logic: on Brouwer’s demonstration of the Bar Theorem
  • The intersection of intuitionism (Brouwer) and phenomenology (Husserl)
  • Brouwer on ‘hypotheses’ and the middle Wittgenstein
  • Brouwer’s notion of intuition and theory of knowledge by presence
  • Buddhist models of the mind and the common core thesis on mysticism
  • Kindred spirits
  • Remarks on the supposed french’ semi-’ or ‘pre-intuitionism’
  • Poincaré: intuitionism, intuition, and convention
  • Some of Julius König’s mathematical dreams in his New Foundations of Logic, Arithmetic, and Set Theory
  • Gödel, constructivity, impredicativity, and feasibility
  • Lorenzen’s operative justification of intuitionistic logic
  • Mathematical perspectives
  • The Hilbert-Brouwer controversy resolved?
  • Proof theory and Martin-Löf Type Theory
  • Some remarks on linear logic
  • Two applications of dynamic constructivism: Brouwer’s continuity principle and choice sequences in formal topology
  • A reverse look at Brouwer’s Fan Theorem
  • Some applications of Brouwer’s Thesis on Bars
  • Concluding remarks at the Cerisy conference
  • A bibliography of L.E.J. Brouwer.