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Epistemology versus Ontology 2012
- Peter Dybjer, Sten Lindström, Erik Palmgren, Göran Sundholm:
Epistemology versus Ontology - Essays on the Philosophy and Foundations of Mathematics in Honour of Per Martin-Löf. Logic, Epistemology, and the Unity of Science 27, Springer 2012, ISBN 978-94-007-4434-9
Philosophy of Logic and Mathematics
- Mark van Atten:
Kant and Real Numbers. 3-23 - Juliet Floyd:
Wittgenstein's Diagonal Argument: A Variation on Cantor and Turing. 25-44 - Dag Prawitz:
Truth and Proof in Intuitionism. 45-67 - Giovanni Sambin:
Real and Ideal in Constructive Mathematics. 69-85 - Wilfried Sieg:
In the Shadow of Incompleteness: Hilbert and Gentzen. 87-127 - Jan M. Smith:
Evolution and Logic. 129-138 - Sören Stenlund:
The "Middle Wittgenstein" and Modern Mathematics. 139-159 - William W. Tait:
Primitive Recursive Arithmetic and Its Role in the Foundations of Arithmetic: Historical and Philosophical Reflections. 161-180
Foundations
- Steven Awodey:
Type Theory and Homotopy. 183-201 - Thierry Coquand, Guilhem Jaber:
A Computational Interpretation of Forcing in Type Theory. 203-213 - Peter Dybjer:
Program Testing and the Meaning Explanations of Intuitionistic Type Theory. 215-241 - Jean-Yves Girard:
Normativity in Logic. 243-263 - Erik Palmgren:
Constructivist Versus Structuralist Foundations. 265-279 - Aarne Ranta:
Machine Translation and Type Theory. 281-311 - Michael Rathjen:
Constructive Zermelo-Fraenkel Set Theory, Power Set, and the Calculus of Constructions. 313-349 - Anton Setzer:
Coalgebras as Types Determined by Their Elimination Rules. 351-369 - Jouko A. Väänänen:
Second Order Logic, Set Theory and Foundations of Mathematics. 371-380
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