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

Edited by (University of Bergen, Norway)
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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.

Arvustused

"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 UniversityNewark, USA

Acknowledgments vii
1 Introduction: A Naturalist Landscape
1(14)
Sorin Bangu
2 Psychology and the A Priori Sciences
15(15)
Penelope Maddy
3 Reasoning, Rules, and Representation
30(22)
Paul D. Robinson
Richard Samuels
4 Numerical Cognition and Mathematical Knowledge: The Plural Property View
52(37)
Byeong-Uk Yi
5 Intuitions, Naturalism, and Benacerraf's Problem
89(17)
Mark Fedyk
6 Origins of Numerical Knowledge
106(25)
Karen Wynn
7 What Happens When a Child Learns to Count? The Development of the Number Concept
131(17)
Kristy Vanmarle
8 Seeing Numbers as Affordances
148(16)
Max Jones
9 Testimony and Children's Acquisition of Number Concepts
164(15)
Helen De Cruz
10 Which Came First, the Number or the Numeral?
179(16)
Jean-Charles Pelland
11 Numbers Through Numerals: The Constitutive Role of External Representations
195(23)
Dirk Schlimm
12 Making Sense of Numbers Without a Number Sense
218(16)
Karim Zahidi
Erik Myin
13 Beyond Peano: Looking Into the Unnaturalness of Natural Numbers
234(18)
Josephine Relaford-Doyle
Rafael Nunez
14 Beauty and Truth in Mathematics: Evidence From Cognitive Psychology
252(16)
Rolf Reber
15 Mathematical Knowledge, the Analytic Method, and Naturalism
268(26)
Fabio Sterpetti
Contributors 294(4)
Index 298
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).