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Book Cover
E-book

Title Advances in experimental philosophy of logic and mathematics / edited by Andrew Aberdein and Matthew Inglis
Published London, UK ; New York, NY, USA : Bloomsbury Academic, Bloomsbury Publishing Plc, 2019
©2019

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Description 1 online resource (x, 280 pages)
Series Advances in experimental philosophy
Advances in experimental philosophy.
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
Summary "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 methods are just as much at home in logic and the philosophy of mathematics. Chapters demonstrate and discuss the applicability of a wide range of empirical methods including experiments, surveys, interviews, and data-mining. Distinct themes emerge that reflect recent developments in the field, such as issues concerning the logic of conditionals and the role played by visual elements in some mathematical proofs. Featuring leading figures from experimental philosophy and the fields of philosophy of logic and mathematics, this collection reveals that empirical work in these disciplines has been quietly thriving for some time and stresses the importance of collaboration between philosophers and researchers in mathematics education and mathematical cognition."--Bloomsbury Publishing
Bibliography Includes bibliographical references and index
Notes Online resource; title from digital title page (viewed on April 04, 2019)
Subject Logic, Symbolic and mathematical.
MATHEMATICS -- Essays.
MATHEMATICS -- Pre-Calculus.
MATHEMATICS -- Reference.
Logic, Symbolic and mathematical
Form Electronic book
Author Aberdein, Andrew, editor.
Inglis, Matthew, editor.
LC no. 2019011823
ISBN 9781350039025
1350039020
9781350039032
1350039039