Naturalizing Logico-Mathematical Knowledge

Sorin Bangu is Professor in the Department of Philosophy, University of Bergen, Norway. He works in philosophy of mathematics and philosophy of physics, having longstanding interests in epistemology and the history of analytic philosophy. He is the author of The Applicability of Mathematics: Indispensability and Ontology (2012).

• 1. Introduction. A Naturalist Landscape Sorin Bangu 2. Psychology and the A Priori Sciences Penelope Maddy 3. Reasoning, Rules, and Representation Paul D. Robinson and Richard Samuels 4. Numerical Cognition and Mathematical Knowledge: The Plural Property View Byeong-uk Yi 5. Intuitions, Naturalism, and Benacerraf’s Problem Mark Fedyk 6. Origins of Numerical Knowledge Karen Wynn 7. What Happens When a Child Learns to Count?: The Development of the Number Concept Kristy vanMarle 8. Seeing Numbers as Affordances Max Jones 9. Testimony and Children’s Acquisition of Number Concepts Helen De Cruz 10. Which Came First, the Number or the Numeral? Jean-Charles Pelland 11. Numbers through Numerals: The Role of External Representations Dirk Schlimm 12. Making Sense of Numbers without a Number Sense Karim Zahidi and Erik Myin 13. Beyond Peano: Looking Into the Unnaturalness of Natural Numbers Josephine Relaford-Doyle and Rafael Núñez 14. Beauty and Truth in Mathematics: Evidence from Cognitive Psychology Rolf Reber 15. Mathematical Knowledge, the Analytic Method, and Naturalism Fabio Sterpetti

"In the name of 'cooperative naturalism', Sorin Bangu has put together a first-rate collection of articles by philosophers and psychologists . . . This collection is a welcome addition to the existing literature, and unquestionably succeeds in its main aim of forging connections between the psychology and philosophy of mathematics."—Notre Dame Philosophical Reviews"Sorin Bangu has assembled an important collection of papers on the project of naturalizing mathematics and logic. It will be a must read both for those who favour that project and also for those who disfavour it."—Jeff Buechner Rutgers University–Newark, USA