A Boole Anthology: Recent and Classical Studies in the Logic of George Boole

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James Gasser
Springer Science & Business Media, Sep 30, 2000 - History - 336 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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Contents

CLASSICAL STUDIES
1
S NElLThe Late George Boole LL D D C L 1865 1
27
MATHEMATICAL ASPECTS
45
Background
49
T HAILPERIN Booles Algebra Isnt Boolean Algebra 1981
61
PHILOSOPHICAL ASPECTS
79
J W VAN EVRA A Reassessment of George Booles Theory of Logic 1977
87
J CORCORAN and S WOOD Booles Criteria for Validity and Invalidity 1980
101
Panteki The Mathematical Background of George Booles Mathematical
167
GRATTANGUINNESS On Booles Algebraic Logic after The Mathematical
213
B GODARTWENDLING The Conceptualization of Time in Booles Algebraic
241
G Bonnet George Boole and the Science of Logic
257
Consequences
271
S Rahman Hugh MacColl and George Boole on Hypotheticals
287
Some Similarities between Boole
311
Contributors
327

Leibniz and Boole
129
English Debates and Booles
139

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Hans Lenk,Reiner Wiehl
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