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.
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1. Introduction, Andrew Aberdein & Matthew Inglis 2. Methodological Triangulation in Empirical Philosophy of Mathematics, Benedikt Löwe & Bart Van Kerkhove 3. Animal Cognition, Species Invariantism and Mathematical Realism, Helen De Cruz 4. The Beauty (?) of Mathematical Proofs, Catarina Dutilh Novaes 5. Can a Picture Prove a Theorem? Using Empirical Methods to Investigate Visual Proofs by Induction, Josephine Relaford-Doyle & Rafael Núñez 6. An Empirical Study on the Admissibility of Graphical Inferences in Mathematical Proofs, Keith Weber & Juan Pablo Mejía-Ramos 7. Does Anyone Really Think That ?f? Is True If And Only If f? Robert Barnard & Joseph Ulatowski 8. New Foundations for Fuzzy Set Theory, Igor Douven 9. What Isn’t Obvious About ‘Obvious’: A Data-Driven Approach to Philosophy of Logic, Moti Mizrahi 10. Philosophy and the Psychology of Conditional Reasoning, David Over & Nicole Cruz 11. Folk Judgments About Conditional Excluded Middle, Michael J. Shaffer & James Beebe
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The essays are uniformly thoughtful, careful, and interesting … This collection demonstrates that new avenues of approach can point the way to new insights into philosophical concepts, they can help adjudicate between competing theories, and they can show how various subsets of the population make sense of ideas philosophers and mathematicians take for granted.
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A team of leading figures and a new generation of scholars from experimental philosophy and the fields of philosophy of logic and mathematics examine the importance of empirical work to their disciplines.
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Examines the place of empirical methods and techniques in philosophy of logic and mathematics
Series Editor: Justin Sytsma is Associate Professor of Philosophy at Victoria University of Wellington, New Zealand. Empirical and experimental philosophy is generating tremendous excitement, producing unexpected results that are challenging traditional philosophical methods. Advances in Experimental Philosophy responds to this trend, bringing together some of the most exciting voices in the field to understand the approach and measure its impact in contemporary philosophy. The result is a series that captures past and present developments and anticipates future research directions. Editorial Board: Joshua Alexander (Siena College, USA), James Andow (University of East Anglia, UK), Florian Cova (University of Geneva, Switzerland), Joshua Knobe (Yale University, USA), Edouard Machery (University of Pittsburgh, USA), Thomas Nadelhoffer (College of Charleston, USA), Jennifer Nado (University of Hong Kong), Eddy Nahmias (Georgia State University, USA), Noel Struchiner (Pontifical Catholic University of Rio de Janeiro, Brazil), Pascale Willemsen (University of Zurich, Switzerland), Jennifer Cole Wright (College of Charleston, USA)
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Produktdetaljer

ISBN
9781350039018
Publisert
2019-05-02
Utgiver
Vendor
Bloomsbury Academic
Vekt
585 gr
Høyde
234 mm
Bredde
156 mm
Aldersnivå
P, 06
Språk
Product language
Engelsk
Format
Product format
Innbundet
Antall sider
296

Biographical note

Andrew Aberdein is Professor of Philosophy at Florida Institute of Technology, USA. Matthew Inglis is Professor of Mathematical Cognition in the Mathematics Education Centre at Loughborough University, UK.