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. deflationary theories of truth. The contributors also consider mathematical fictionalism, structuralism, the nature and role of axioms, constructive existence, and generality. 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 audience. It contains work from FilMat, the Italian Network for the Philosophy of Mathematics. These papers collected here were also presented at their second international conference, held at the University of Chieti-Pescara, May 2016.
Covers a host of intriguing issues concerning the three key notions of existence, truth, and explanation
Features cutting-edge research from renowned philosophers, mathematicians, and younger scholars
Offers an insightful contribution to the lively debate in this interdisciplinary field of inquiry
Covers a host of intriguing issues concerning the three key notions of existence, truth, and explanation Features cutting-edge research from renowned philosophers, mathematicians, and younger scholars Offers an insightful contribution to the lively debate in this interdisciplinary field of inquiry
Mario Piazza
Ontology and Structures in Mathematical Theories Explanation in Mathematics Mathematical Truth Indispensability Arguments Arithmetical Systems Mathematical explanation classical and non-classical logics Kreisel's Conception of Informal Rigour Church-Turing Thesis deflationary theories of truth