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OverviewFull Product DetailsAuthor: Professor Andrew Aberdein (Florida Institute of Technology, USA) , Matthew Inglis (Loughborough University, UK)Publisher: Bloomsbury Publishing PLC Imprint: Bloomsbury Academic Weight: 0.413kg ISBN: 9781350217959ISBN 10: 1350217956 Pages: 296 Publication Date: 28 January 2021 Audience: College/higher education , Tertiary & Higher Education Format: Paperback Publisher's Status: Active Availability: Manufactured on demand We will order this item for you from a manufactured on demand supplier. Table of Contents1. 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 BeebeReviewsThe 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. * Philosophia * Imre Lakatos’ call for a renaissance of empiricism in the philosophy of mathematics has at last been answered. This volume shows that deep questions in the philosophy of mathematics and logic can be attacked through empirical studies and non-foundational reasoning. Drawing on philosophy, logic, cognitive science and mathematics education, perennial questions are answered, including the roles of aesthetics and visualisation in proofs, and logic in practical reasoning. This landmark collection will undoubtedly be an indispensable resource for future research in this important field. * Paul Ernest, Emeritus Professor of Philosophy of Mathematics Education, Exeter University, UK * How are natural language terms actually used in technical contexts, and how do people interpret them? The answer is often surprising! This book extols the use of empirical studies to challenge implicit assumptions about the practice of philosophers and mathematicians, and the way that these groups talk about their practice. * John Mason, Emeritus Professor of Mathematics Education, The Open University, UK * 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. * Philosophia * Imre Lakatos' call for a renaissance of empiricism in the philosophy of mathematics has at last been answered. This volume shows that deep questions in the philosophy of mathematics and logic can be attacked through empirical studies and non-foundational reasoning. Drawing on philosophy, logic, cognitive science and mathematics education, perennial questions are answered, including the roles of aesthetics and visualisation in proofs, and logic in practical reasoning. This landmark collection will undoubtedly be an indispensable resource for future research in this important field. * Paul Ernest, Emeritus Professor of Philosophy of Mathematics Education, Exeter University, UK * How are natural language terms actually used in technical contexts, and how do people interpret them? The answer is often surprising! This book extols the use of empirical studies to challenge implicit assumptions about the practice of philosophers and mathematicians, and the way that these groups talk about their practice. * John Mason, Emeritus Professor of Mathematics Education, The Open University, UK * Author InformationAndrew 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. Tab Content 6Author Website:Countries AvailableAll regions |
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