Advances in experimental philosophy of logic and mathematics

Advances in experimental philosophy of logic and mathematics / edited by Andrew Aberdein and Matthew Inglis.

"This book explores the results of applying empirical methods to the philosophy of logic and mathematics. Much of the work that has earned experimental philosophy a prominent place in twenty-first century philosophy is concerned with ethics or epistemology. But, as this book shows, empirical me...

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Bibliographic Details
Other Authors: Aberdein, Andrew (Editor), Inglis, Matthew (Editor)
Format: eBook
Language:English
Published: London, UK ; New York, NY, USA : Bloomsbury Academic, Bloomsbury Publishing Plc, 2019.
Series:Advances in experimental philosophy.
Subjects:
Logic, Symbolic and mathematical.
MATHEMATICS > Essays.
MATHEMATICS > Pre-Calculus.
MATHEMATICS > Reference.
Logic, Symbolic and mathematical
Online Access:Click for online access
Table of Contents:
  • Intro; Title Page; Copyright page; Contents; Notes on Contributors; Chater 1: Introduction; References; Chapter 2: Methodological Triangulation in Empirical Philosophy (of Mathematics); 1 Introduction; 2 Philosophy of mathematical practice; 3 Experimental philosophy; 4 What is in a name?; 5 "Medicine is not an exact science"; 6 Triangulation; 7 Triangulation in philosophy of mathematical practice; Notes; References; Chapter 3: Animal Cognition, Species Invariantism, and Mathematical Realism; 1 Introduction; 2 The contingency challenge; 3 Invariantism in numerical cognition
  • 4 The metaphysical significance of INC5 Which form of realism does the animal cognition literature support?; 6 Conclusion; Acknowledgments; Note; References; Chapter 4: The Beauty of Mathematical Proofs; 1 Introduction; 2 Overview of literature; 3 A beautiful proof; 4 Hardy's Six and explanatoriness; 5 Dialogical conception: Explanatory persuasion; 6 The aesthetic import of unexpectedness; 7 Unexpectedness and the role of affective responses; 8 Empirical predictions; 9 Conclusions; Notes; References
  • 1 The empirical in the semantic conception of truth2 Næss's 1953 experimental work; 3 Practical variant of Tarski's theory of truth; 4 Næss redux experiment; 5 Modified Næss experiment; 6 Discussion; 7 Concluding discussion; Notes; References; Chapter 8: New Foundations for Fuzzy Set Theory; 1 Introduction; 2 Completions and graded membership; 3 The conceptual spaces framework; 4 From collated Voronoi tessellations to graded membership; 5 Experimental work on graded membership; 6 Concluding remarks; Notes; References
  • Chapter 9: What Isn't Obvious about "Obvious": A Data-Driven Approach to Philosophy of Logic1 Introduction; 2 Methods; 3 Results; 4 Discussion; 5 Conclusion; Acknowledgments; Notes; References; Chapter 10: Philosophy and the Psychology of Conditional Reasoning; 1 The mental model theory of conditionals; 2 The Ramsey test and conditional probability; 3 The de Finetti and Jeffrey tables; 4 The probabilistic validity of inferences; 5 The psychology of conditional reasoning; 6 Counterfactuals; 7 Conclusions; References; Chapter 11: Folk Judgments about Conditional Excluded Middle; 1 Introduction

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