7月に刊行予定の以下の書籍を注文しておきました。

  • S. Lindström, P. Dybjer, E. Palmgren, G. Sundholm eds.  Epistemology versus Ontology: Essays on the Philosophy and Foundations of Mathematics in Honour of Per Martin-Löf, Springer, Logic, Epistemology, and the Unity of Science, vol. 27, Due in July 2012

Contents

Part I. Philosophy of Logic and Mathematics

  • Mark van Atten  ''Kant and Real Numbers''
  • Juliet Floyd  ''Wittgenstein's Diagonal Argument: A Variation on Cantor and Turing''
  • Jan von Plato  ''Aristotle’s Deductive Logic: A Proof-Theoretical Study''
  • Dag Prawitz  ''Truth and Proof: Ontological or Epistemic Concepts?''
  • Wilfried Sieg  ''In the Shadow of Incompleteness: Hilbert and Gentzen''
  • Jan Smith  ''Causality, Biological Evolution, and the Rules of Logic''
  • Sören Stenlund  ''The “Middle Wittgenstein” and Modern Mathematics''

Part II. Foundations

  • Steve Awodey  ''Type Theory and Homotopy''
  • Thierry Coquand and Guilhem Jaber  ''A Computational Interpretation of Forcing in Type Theory''
  • Peter Dybjer  ''Program Testing and Constructive Validity''
  • Jean-Yves Girard  ''Normativity in Logic''
  • Erik Palmgren  ''Constructivist and Structuralist Foundations: Bishop’s and Lawvere’s Theories of Sets''
  • Aarne Ranta  ''Machine Translation and Type Theory''
  • Michael Rathjen  ''Constructive Zermelo-Fraenkel Set Theory and Powerset''
  • Giovanni Sambin  ''Real and Ideal Entities in a Minimalist Constructive Foundation (in progress)''
  • William Tait  ''Primitive Recursive Arithmetic: Its Role in the Foundations of Mathematics''
  • Jouko Väänänen  ''Second Order Logic, Set Theory and Foundations of Mathematics''