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

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...

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Médium: Elektronický zdroj E-kniha
Jazyk:angličtina
Vydáno: Cham : Springer International Publishing, 2018.
Vydání:1st ed. 2018.
Edice:Boston Studies in the Philosophy and History of Science, 334
Témata:
Mathematics-Philosophy.
Logic.
Epistemology.
Mathematical logic.
ISBN:9783319933429
ISSN:0068-0346 ;
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Obsah:
  • 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?.

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