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## Details

Document Type: | Book |
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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 audience.
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