Extensionalism

by
Edition: 1st
Format: Hardcover
Pub. Date: 2008-04-16
Publisher(s): Springer Verlag
List Price: $149.99

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Summary

This vivid and thought-provoking book by the Israeli logician Nimrod Bar-Am impels one to rethink the place of logic in Western thought. It shows that the history of logic from Aristotle to Tarski is the history of the gradual undoing of the classic conflation of logic and empirical science. It sets tomorrowa??s agenda for philosophers and historians of logic and scientific method by taking as its starting point the mere fact that, curiously, ancient logic is not as formal as current literature presents it. Rather, as Bar-Am explains, modern formal logic became possible only after a series of bold criticisms of the magnificent Aristotelian system. These criticisms begin with David Humea??s declaration that logic does not sanction induction, follow on with Kanta??s view of logic as an extremely limited system, and culminating with Boolesa?? introduction of logic as an extensional system, and Russella??s solution to his own paradox. The book offers a breathtaking intellectual odyssey; presenting the development of logic as an evolving critical assessment of approaches to an impossible ideal. Bar-Am handles an extremely complex subject matter in a manner that is both accessible to the general educated reader and challenging to the learned expert, by opening to them live background ideas to dead formulas. The book will easily find its place alongside both general introductions to the history of science and advanced reading lists in the philosophy of logic.

Table of Contents

In Praise of Shallowness: A Methodological Credo
Preliminary Notes
Outline of Preliminary Notesp. 3
Controversies as Contests: The Birth of Intellectual Responsibilityp. 3
Methodology is not Epistemologyp. 5
Conflation is not Confusionp. 6
Proof is not Sound Inferencep. 10
Setting the Scene: Some Notes on the Pre-history of Logic
The Mother of All Conflations: Parmenides' Proofp. 17
Early Disagreements Concerning the Power of Proofs: The Uses and Misuses of Dialoguesp. 23
The Sophists' Challengep. 31
Aristotle's Logic: The Rise of Essentialism
The Beginning is the Termp. 39
Chimera in the Dusk: Essentialismp. 49
Semantics is not Ontologyp. 61
The Mother of All Matrices, or, How Terms Spawn Definitions and Syllogismsp. 65
The Conflation of the Source with the True, Good and Beautiful (Source)p. 71
Induction as Spell-Castingp. 77
The Birth of Induction from Sea Foamp. 83
Taxonomy of Reality by Syllogismp. 91
Essentialism Besieged
Ad Hominem Logic: Logic between Aristotle and Boolep. 97
The Neglect of Judgmentp. 103
Leibniz as Aristotle and Boole Conflatedp. 109
Why Transcendental Logic is no Logic at Allp. 115
The Fall of Essentialism
Extensionalism as Exorcismp. 123
Mathematical Logic: An Oxymoronp. 129
The Last Stepp. 137
Epilogue: Extensionalism in a New Contextp. 143
Notesp. 145
Bibliographyp. 159
Name Indexp. 165
Subject Indexp. 169
Table of Contents provided by Blackwell. All Rights Reserved.

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