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.

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.

• 1. Introduction, Andrew Aberdein & Matthew Inglis2. Methodological Triangulation in Empirical Philosophy of Mathematics, Benedikt Löwe & Bart Van Kerkhove3. Animal Cognition, Species Invariantism and Mathematical Realism, Helen De Cruz4. The Beauty (?) of Mathematical Proofs, Catarina Dutilh Novaes5. Can a Picture Prove a Theorem? Using Empirical Methods to Investigate Visual Proofs by Induction, Josephine Relaford-Doyle & Rafael Núñez6. An Empirical Study on the Admissibility of Graphical Inferences in Mathematical Proofs, Keith Weber & Juan Pablo Mejía-Ramos7. Does Anyone Really Think That ?f? Is True If And Only If f? Robert Barnard & Joseph Ulatowski8. New Foundations for Fuzzy Set Theory, Igor Douven9. What Isn’t Obvious About ‘Obvious’: A Data-Driven Approach to Philosophy of Logic, Moti Mizrahi10. Philosophy and the Psychology of Conditional Reasoning, David Over & Nicole Cruz11. Folk Judgments About Conditional Excluded Middle, Michael J. Shaffer & James Beebe

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.

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.

• 1. Introduction, Andrew Aberdein & Matthew Inglis2. Methodological Triangulation in Empirical Philosophy of Mathematics, Benedikt Löwe & Bart Van Kerkhove3. Animal Cognition, Species Invariantism and Mathematical Realism, Helen De Cruz4. The Beauty (?) of Mathematical Proofs, Catarina Dutilh Novaes5. Can a Picture Prove a Theorem? Using Empirical Methods to Investigate Visual Proofs by Induction, Josephine Relaford-Doyle & Rafael Núñez6. An Empirical Study on the Admissibility of Graphical Inferences in Mathematical Proofs, Keith Weber & Juan Pablo Mejía-Ramos7. Does Anyone Really Think That ?f? Is True If And Only If f? Robert Barnard & Joseph Ulatowski8. New Foundations for Fuzzy Set Theory, Igor Douven9. What Isn’t Obvious About ‘Obvious’: A Data-Driven Approach to Philosophy of Logic, Moti Mizrahi10. Philosophy and the Psychology of Conditional Reasoning, David Over & Nicole Cruz11. Folk Judgments About Conditional Excluded Middle, Michael J. Shaffer & James Beebe

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.

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.

• 1. Introduction, Andrew Aberdein & Matthew Inglis2. Methodological Triangulation in Empirical Philosophy of Mathematics, Benedikt Löwe & Bart Van Kerkhove3. Animal Cognition, Species Invariantism and Mathematical Realism, Helen De Cruz4. The Beauty (?) of Mathematical Proofs, Catarina Dutilh Novaes5. Can a Picture Prove a Theorem? Using Empirical Methods to Investigate Visual Proofs by Induction, Josephine Relaford-Doyle & Rafael Núñez6. An Empirical Study on the Admissibility of Graphical Inferences in Mathematical Proofs, Keith Weber & Juan Pablo Mejía-Ramos7. Does Anyone Really Think That ?f? Is True If And Only If f? Robert Barnard & Joseph Ulatowski8. New Foundations for Fuzzy Set Theory, Igor Douven9. What Isn’t Obvious About ‘Obvious’: A Data-Driven Approach to Philosophy of Logic, Moti Mizrahi10. Philosophy and the Psychology of Conditional Reasoning, David Over & Nicole Cruz11. Folk Judgments About Conditional Excluded Middle, Michael J. Shaffer & James Beebe