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

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James Gasser
Springer Science & Business Media, Nov 11, 2013 - Philosophy - 349 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

G P YOUNG Remarks on Professor Booles Mathematical Theory of
26
MATHEMATICAL ASPECTS
45
T HAILPERIN Booles Algebra Isnt Boolean Algebra 1981 61
60
PHILOSOPHICAL ASPECTS
79
J W VAN EVRA A Reassessment of George Booles Theory of Logic 1977 87
86
J CORCORAN and S WOOD Booles Criteria for Validity and Invalidity 1980
101
Leibniz and Boole
129
English Debates and Booles
139
GRATTANGUINNESS On Booles Algebraic Logic after The Mathematical
213
B GODARTWENDLING The Conceptualization of Time in Booles Algebraic
240
G BORNET George Boole and the Science of Logic
257
CONSEQUENCES
271
S RAHMAN Hugh MacColl and George Boole on Hypotheticals 287
286
Some Similarities between Boole
311
CONTRIBUTORS
327
INDEX OF SUBJECTS
333

PANTEKI The Mathematical Background of George Booles Mathematical
167

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