Truth, Existence and Explanation FilMat 2016 Studies in the Philosophy of Mathematics /

• Corporate Author: SpringerLink (Online service)
• Other Authors: Piazza, Mario (Editor, http://id.loc.gov/vocabulary/relators/edt), Pulcini, Gabriele (Editor, http://id.loc.gov/vocabulary/relators/edt)
• Format: Electronic eBook
• Language: English
• Published: Cham : Springer International Publishing : Imprint: Springer, 2018.
• Edition: 1st ed. 2018.
• Series: Boston Studies in the Philosophy and History of Science, 334
• Subjects: Mathematics-Philosophy.; Logic.; Epistemology.; Mathematical logic.; Philosophy of Mathematics.; Mathematical Logic and Formal Languages.

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 i...

Table of Contents:

• Part I: Truth and expressiveness
• Chapter 1. Some Remarks on True Undecidable Sentences
• Chapter 2. Penrose's New Argument and Paradox
• Chapter 3. On expressive power over arithmetic
• Chapter 4. Intensionality in Mathematics
• Chapter 5. Deflationary truth is a logical notion
• Chapter 6. Making sense of Deflationism from a formal perspective: Conservativity and Relative Interpretability
• Part II: Structures, existence, and explanation
• Chapter 7. Structure and Structures
• Chapter 8. Towards a Better Understanding of Mathematical Understanding
• Chapter 9. The explanatory power of a new proof: Henkin's completeness proof
• Chapter 10. Can proofs by mathematical induction be explanatory?
• Chapter 11. Ontological Commitment and the Import of Mathematics
• Chapter 12. Applicability Problems Generalized
• Chapter 13. Church-Turing Thesis, in Practice
• Chapter 14. Existence vs Conceivability in Aristotle: Are Straight Lines Infinitely Extendible?.