Logic and Knowledge
Editor: Carlo Cellucci, Emily Grosholz and Emiliano Ippoliti
Date Of Publication: Aug 2011
Isbn13: 978-1-4438-3008-9
Isbn: 1-4438-3008-9
The problematic relation between logic and knowledge has given rise to some of the most important works in the history of philosophy, from Books VI–VII of Plato’s Republic and Aristotle’s Prior and Posterior Analytics, to Kant’s Critique of Pure Reason and Mill’s A System of Logic, Ratiocinative and Inductive. It provides the title of an imp…
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Editor: Carlo Cellucci, Emily Grosholz and Emiliano Ippoliti
Date Of Publication: Aug 2011
Isbn13: 978-1-4438-3008-9
Isbn: 1-4438-3008-9
The problematic relation between logic and knowledge has given rise to some of the most important works in the history of philosophy, from Books VI–VII of Plato’s Republic and Aristotle’s Prior and Posterior Analytics, to Kant’s Critique of Pure Reason and Mill’s A System of Logic, Ratiocinative and Inductive. It provides the title of an important collection of papers by Bertrand Russell (Logic and Knowledge. Essays, 1901–1950). However, it has remained an underdeveloped theme in the last century, because logic has been treated as separate from knowledge.
This book does not hope to make up for a century-long absence of discussion. Rather, its ambition is to call attention to the theme and stimulating renewed reflection upon it. The book collects essays of leading figures in the field and it addresses the theme as a topic of current debate, or as a historical case study, or when appropriate as both. Each essay is followed by the comments of a younger discussant, in an attempt to transform what might otherwise appear as a monologue into an ongoing dialogue; each section begins with an historical essay and ends with an essay by one of the editors.
Carlo Cellucci is Emeritus Professor of Philosophy at the University of Rome ‘La Sapienza,’ Italy. He is currently completing a book entitled, Remaking Logic: What is Logic Really?
Emily Grosholz is Professor of Philosophy at the Pennsylvania State University, USA. She is the author of Representation and Productive Ambiguity in Mathematics and the Sciences (Oxford University Press, 2007).
Emiliano Ippoliti is a Research Fellow at the University of Rome ‘La Sapienza,’ Italy. His main interests are heuristics, the logic of discovery, and problem-solving. He is currently working on a book, Ampliating Knowledge: Data, Hypotheses and Novelty.
TABLE OF CONTENTS
Foreword .................................................................................................... ix
Acknowledgements ................................................................................. xxv
Section I: Logic and Knowledge
Chapter One................................................................................................. 3
The Cognitive Importance of Sight and Hearing in Seventeenthand
Eighteenth-Century Logic
(Mirella Capozzi)
Discussion .............................................................................................. 26
(Chiara Fabbrizi)
Chapter Two .............................................................................................. 33
Nominalistic Content
(Jody Azzouni)
Discussion ............................................................................................... 52
(Silvia De Bianchi)
Chapter Three ............................................................................................ 57
A Garden of Grounding Trees
(Göran Sundholm)
Discussion............................................................................................ 75
(Luca Incurvati)
Chapter Four .............................................................................................. 81
Logics and Metalogics
(Timothy Williamson)
Discussion.......................................................................................... 101
(Cesare Cozzo)
Chapter Five ............................................................................................ 109
Is Knowledge the Most General Factive Stative Attitude?
(Cesare Cozzo)
Discussion.......................................................................................... 117
(Timothy Williamson)
Chapter Six .............................................................................................. 123
Classifying and Justifying Inference Rules
(Carlo Cellucci)
Discussion.......................................................................................... 143
(Norma B. Goethe)
Section II: Logic and Science
Chapter Seven.......................................................................................... 151
The Universal Generalization Problem and the Epistemic Status
of Ancient Medicine: Aristotle and Galen
(Riccardo Chiaradonna)
Discussion.......................................................................................... 168
(Diana Quarantotto)
Chapter Eight........................................................................................... 175
The Empiricist View of Logic
(Donald Gillies)
Discussion.......................................................................................... 191
(Paolo Pecere)
Chapter Nine............................................................................................ 197
Artificial Intelligence and Evolutionary Theory: Herbert Simon’s
Unifying Framework
(Roberto Cordeschi)
Discussion.......................................................................................... 216
(Francesca Ervas)
Chapter Ten ............................................................................................. 221
Evolutionary Psychology and Morality: The Renaissance of Emotivism?
(Mario De Caro)
Discussion.......................................................................................... 232
(Annalisa Paese)
Chapter Eleven ........................................................................................ 237
Between Data and Hypotheses
(Emiliano Ippoliti)
Discussion.......................................................................................... 262
(Fabio Sterpetti)
Section III: Logic and Mathematics
Chapter Twelve ....................................................................................... 273
Dedekind Against Intuition: Rigor, Scope and the Motives
of his Logicism
(Michael Detlefsen)
Discussion.......................................................................................... 290
(Marianna Antonutti)
Chapter Thirteen...................................................................................... 297
Mathematical Intuition: Poincaré, Polya, Dewey
(Reuben Hersh)
Discussion.......................................................................................... 324
(Claudio Bernardi)
Chapter Fourteen ..................................................................................... 329
On the Finite: Kant and the Paradoxes of Knowledge
(Carl Posy)
Discussion.......................................................................................... 358
(Silvia Di Paolo)
Chapter Fifteen ........................................................................................ 363
Assimilation: Not Only Indiscernibles are Identified
(Robert Thomas)
Discussion.......................................................................................... 380
(Diego De Simone)
Chapter Sixteen ....................................................................................... 385
Proofs and Perfect Syllogisms
(Dag Prawitz)
Discussion.......................................................................................... 403
(Julien Murzi)
Chapter Seventeen ................................................................................... 411
Logic, Mathematics, Heterogeneity
(Emily Grosholz)
Discussion.......................................................................................... 427
(Valeria Giardino)
Contributors............................................................................................. 433
Index........................................................................................................ 437
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