Naturalizing Logico-Mathematical Knowledge: Approaches from Philosophy, Psychology and Cognitive Science

Author:   Sorin Bangu (University of Bergen, Norway)
Publisher:   Taylor & Francis Ltd
ISBN:  

9781138244108


Pages:   306
Publication Date:   12 February 2018
Format:   Hardback
Availability:   In Print   Availability explained
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Naturalizing Logico-Mathematical Knowledge: Approaches from Philosophy, Psychology and Cognitive Science


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Overview

This book is meant as a part of the larger contemporary philosophical project of naturalizing logico-mathematical knowledge, and addresses the key question that motivates most of the work in this field: What is philosophically relevant about the nature of logico-mathematical knowledge in recent research in psychology and cognitive science? The question about this distinctive kind of knowledge is rooted in Plato’s dialogues, and virtually all major philosophers have expressed interest in it. The essays in this collection tackle this important philosophical query from the perspective of the modern sciences of cognition, namely cognitive psychology and neuroscience. Naturalizing Logico-Mathematical Knowledge contributes to consolidating a new, emerging direction in the philosophy of mathematics, which, while keeping the traditional concerns of this sub-discipline in sight, aims to engage with them in a scientifically-informed manner. A subsequent aim is to signal the philosophers’ willingness to enter into a fruitful dialogue with the community of cognitive scientists and psychologists by examining their methods and interpretive strategies.

Full Product Details

Author:   Sorin Bangu (University of Bergen, Norway)
Publisher:   Taylor & Francis Ltd
Imprint:   Routledge
Weight:   0.589kg
ISBN:  

9781138244108


ISBN 10:   1138244104
Pages:   306
Publication Date:   12 February 2018
Audience:   College/higher education ,  Tertiary & Higher Education ,  Undergraduate
Format:   Hardback
Publisher's Status:   Active
Availability:   In Print   Availability explained
This item will be ordered in for you from one of our suppliers. Upon receipt, we will promptly dispatch it out to you. For in store availability, please contact us.

Table of Contents

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

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


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


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


Author Information

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).

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