Epistemology versus Ontology Essays on the Philosophy and Foundations of Mathematics in Honour of Per Martin-Löf /

• Συγγραφή απο Οργανισμό/Αρχή: SpringerLink (Online service)
• Άλλοι συγγραφείς: Dybjer, P. (Επιμελητής έκδοσης), Lindström, Sten (Επιμελητής έκδοσης), Palmgren, Erik (Επιμελητής έκδοσης), Sundholm, G. (Επιμελητής έκδοσης)
• Μορφή: Ηλεκτρονική πηγή Ηλ. βιβλίο
• Γλώσσα: English
• Έκδοση: Dordrecht : Springer Netherlands : Imprint: Springer, 2012.
• Σειρά: Logic, Epistemology, and the Unity of Science ; 27
• Θέματα: Philosophy.; Epistemology.; Logic.; Ontology.; Mathematics.; History.; Mathematical logic.; Mathematical Logic and Foundations.; History of Mathematical Sciences.

This book brings together philosophers, mathematicians and logicians to penetrate important problems in the philosophy and foundations of mathematics. In philosophy, one has been concerned with the opposition between constructivism and classical mathematics and the different ontological and epistemo...

Πίνακας περιεχομένων:

• Introduction.-On the Philosophical Work of Per Martin-Löf: Göran Sundholm
• Notes on the contributors
• Part 1. Philosophy of Logic and Mathematics
•  Chapter 1. Kant and Real Numbers: Mark van Atten
• Chapter 2. Wittgenstein's Diagonal Argument: A Variation on Cantor and Turing: Juliet Floyd
• Chapter 3. Truth and Proof in Intuitionism: Dag Prawitz
• Chapter 4. Real and Ideal in Constructive Mathematics: Giovanni Sambin
• Chapter 5. In the Shadow of Incompleteness: Hilbert and Gentzen: Wilfried Sieg
• Chapter 6. Evolution and Logic: Jan Smith
• Chapter 7. The “Middle Wittgenstein” and Modern Mathematics: Sören Stenlund
• Chapter 8. Primitive Recursive Arithmetic and Its Role in the Foundations of Arithmetic: historical and Philosophical Reflections: William Tait
• Part 2. Foundations
• Chapter 9. Type Theory and Homotopy: Steve Awodey
• Chapter 10. A Computational Interpretation of Forcing in Type Theory: Thierry Coquand; Guilhem Jaber
• Chapter 11. Program Testing and the Meaning Explanations of Intuitionistic Type Theory: Peter Dybjer
• Chapter 12. Normativity in Logic: Jean-Yves Girard
• Chapter 13. Constructivist versus Structuralist Foundations: Erik Palmgren
• Chapter 14. Machine Translation and Type Theory: Aarne Ranta
• Chapter 15. Constructive Zermelo-Fraenkel Set Theory, Powerset, and the Calculus of Constructions: Michael Rathjen
• Chapter 16. Coalgebras as Types determined by their Elimination Rules: Anton Setzer
• Chapter 17. Second Order Logic, Set Theory and Foundations of Mathematics: Jouko Väänänen.