Synthese Library

Recent and Classical Studies in the Logic of George Boole

By: James Gasser (Editor)

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Hardcover | 30 September 2000

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372 Pages

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Modern mathematical logic would not exist without the analytical tools first developed by George Boole in The Mathematical Analysis of Logic and The Laws of Thought. The influence of the Boolean school on the development of logic, always recognised but long underestimated, has recently become a major research topic. This collection is the first anthology of works on Boole. It contains two works published in 1865, the year of Boole's death, but never reprinted, as well as several classic studies of recent decades and ten original contributions appearing here for the first time. From the programme of the English Algebraic School to Boole's use of operator methods, from the problem of interpretability to that of psychologism, a full range of issues is covered. The Boole Anthology is indispensable to Boole studies and will remain so for years to come.

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Non-Fiction Mathematics Mathematical Foundation Mathematical Logic History of Mathematics Philosophy Philosophy & Logic History History Theory & Methods Historiography

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Published: 15th December 2010

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Preface
Acknowledgements
The Late George Boole, LL.D., D.C.L. (1865)	p. 1
Remarks on Professor Boole's Mathematical Theory of the Laws of Thought (1865)	p. 27
The Influence of Boole's Search for a Universal Method in Analysis on the Creation of his Logic (1977)	p. 45
Boole's Algebra Isn't Boolean Algebra (1981)	p. 61
Review of Boole, Studies in Logic and Probability, and of 'Celebration of the Centenary of The Laws of Thought' (1959)	p. 79
A Reassessment of George Boole's Theory of Logic (1977)	p. 87
Boole's Criteria for Validity and Invalidity (1980)	p. 101
Algebraical Logic: Leibniz and Boole	p. 129
Logic versus Algebra: English Debates and Boole's Mediation	p. 139
The Mathematical Background of George Boole's Mathematical Analysis of Logic	p. 167
On Boole's Algebraic Logic after The Mathematical Analysis of Logic	p. 213
The Influence of Aristotelian Logic on Boole's Philosophy of Logic: the Reduction of Hypotheticals to Categoricals	p. 217
The Conceptualization of Time in Boole's Algebraic Logic	p. 241
George Boole and the Science of Logic	p. 257
Was George Boole Really the 'Father' of Modern Logic?	p. 271
Hugh MacColl and George Boole on Hypotheticals	p. 287
Psychologism in Logic: Some Similarities between Boole and Frege	p. 311
Contributors	p. 327
Index of Names	p. 329
Index of Subjects	p. 333
Table of Contents provided by Blackwell. All Rights Reserved.

Synthese Library

Recent and Classical Studies in the Logic of George Boole

At a Glance

Hardcover

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You Can Find This Book In

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