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Truth, existence and explanation : FilMat 2016 studies in the philosophy of mathematics

Author: Mario Piazza, (Philosopher); Gabriele Pulcini
Publisher: Cham, Switzerland : Springer, [2018] ©2018
Series: Boston studies in the philosophy and history of science, v. 334.
Edition/Format:   Print book : EnglishView all editions and formats
Summary:
"This book contains more than 15 essays that explore issues in truth, existence, and explanation. It features cutting-edge research in the philosophy of mathematics and logic. Renowned philosophers, mathematicians, and younger scholars provide an insightful contribution to the lively debate in this interdisciplinary field of inquiry. The essays look at realism vs. anti-realism as well as inflationary vs.  Read more...
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Document Type: Book
All Authors / Contributors: Mario Piazza, (Philosopher); Gabriele Pulcini
ISBN: 3319933418 9783319933412
OCLC Number: 1035301149
Description: xii, 272 pages : illustrations (black and white) ; 25 cm.
Contents: Part I. Truth and expressiveness. 1. Some remarks on True undecidable sentences / Enrico Moriconi --
2. Penrose's New Argument and paradox / Johannes Stern --
3. On expressive power over arithmetic / Carlo Nicolai --
4. Intensionality in mathematics / Jaroslav Peregrin --
5. Deflationary truth is a logical notion / D. Bonnay and H. Galinon --
6. Making sense of deflationism from a formal perspective : conservativity and relative interpretability / Andrea Strollo --
Part II. Structures, existence, and explanation. 7. Structure and structures / Reinhardt Kahle --
8. Towards a better understanding of mathematical understanding / Janet Folina --
9. The explanatory power of a new proof : Henkin's completeness proof / John Baldwin --
10. Can proofs by mathematical induction be explanatory? / Josephine Salverda --
11. Parsimony, ontological commitment and the import of mathematics / Daniele Molinini --
12. Applicability problems generalized / Michele Ginammi --
13. Church-Turing thesis, in practice / Luca San Mauro --
14. Existence vs. conceivability in Aristotle : are straight lines infinitely extendible? / Monica Ugaglia.
Series Title: Boston studies in the philosophy and history of science, v. 334.
Responsibility: Mario Piazza, Gabriele Pulcini, editors.

Abstract:

In addition, coverage also looks at the explanatory role of mathematics and the philosophical relevance of mathematical explanation.The book will appeal to a broad mathematical and philosophical  Read more...

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