Naturalizing Logico Mathematical Knowledge Approaches from Philosophy Psychology and Cognitive Science 1st Edition by Sorin Bangu 1351998444 9781351998444

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ISBN-10 :  1351998444 

ISBN-13 :  9781351998444

Author:  Sorin Bangu 

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.

Naturalizing Logico Mathematical Knowledge Approaches from Philosophy Psychology and Cognitive Science 1st table of contents: 

1 Introduction: A Naturalist Landscape
2 Psychology and the A Priori Sciences
3 Reasoning, Rules, and Representation
4 Numerical Cognition and Mathematical Knowledge: The Plural Property View
5 Intuitions, Naturalism, and Benacerraf’s Problem
6 Origins of Numerical Knowledge
7 What Happens When a Child Learns to Count? The Development of the Number Concept
8 Seeing Numbers as Affordances
9 Testimony and Children’s Acquisition of Number Concepts
10 Which Came First, the Number or the Numeral?
11 Numbers Through Numerals: The Constitutive Role of External Representations
12 Making Sense of Numbers Without a Number Sense
13 Beyond Peano: Looking Into the Unnaturalness of Natural Numbers
14 Beauty and Truth in Mathematics: Evidence From Cognitive Psychology
15 Mathematical Knowledge, the Analytic Method, and Naturalism

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Tags: Naturalizing Logico, Mathematical Knowledge, Approaches, Philosophy Psychology, Sorin Bangu