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

ISBN-13: 9780792363804 / Angielski / Twarda / 2000 / 349 str.

James Gasser

Opis

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.

Spis treści

Preface. Acknowledgements. Classical Studies. 1. Background. The Late George Boole, LL.D., D.C.L. (1865); S. Neil. Remarks on Professor Boole's Mathematical Theory of the Laws of Thought (1865); G.P. Young. 2. Mathematical Aspects. The Influence of Boole's Search for a Universal Methods in Analysis on the Creation of His Logic; L.M. Laita. Boole's Algebra Isn't Boolean Algebra (1981); T. Hailperin. 3. Philosophical Aspects. Review of Boole, Studies in Logic and Probability, and of `Celebration of the Centenary of The Laws of Thought' (1959); M. Dummett. A Reassessment of George Boole's Theory of Logic (1977); J.W. Van Evra. Boole's Criteria for Validity and Invalidity (1980); J. Corcoran, S. Wood. Recent Studies. 1. Background. Algebraical Logic: Leibniz and Boole; T. Hailperin. Logic versus Algebra: English Debates and Boole's Mediation; M.-J. Durand-Richard. 2. Mathematical Aspects. The Mathematical Background of George Boole's Mathematical Analysis of Logic; M. Panteki. On Boole's Algebraic Logic after The Mathematical Analysis of Logic; I. Grattan-Guinness. 3. Philosophical Aspects. The Influence of Aristotelian Logic on Boole's Philosophy of Logic: the Reduction of Hypotheticals to Categoricals; S. Nambiar. The Conceptualization of Time in Boole's Algebraic Logic; B. Godart-Wendling. George Boole and the Science of Logic; G. Bornet. 4. Consequences. Was George Boole Really the `Father' of Modern Logic? V. Peckhaus. Hugh MacColl and George Boole on Hypotheticals; S. Rahman. Psychologism in Logic: Some Similarities between Boole and Frege; N. Vassallo. Contributors. Index of Names. Index of Subjects.