Abstract
George Boole’s theory of logic has not fared well at the hands of the commentators who have written about it, whether they be his successors in logic itself, or historians of the subject. While there is general agreement that his work occupies an important place in the history of logic, the exact nature of that importance remains elusive. On the one hand, he has been called the originator of mathematical logic,1 but on the other, that claim has been pointedly disputed.2 On the one hand, his logic does differ significantly from traditional syllogistic logic, and for this he has been applauded.3 But on the other, Frege’s introduction of quantification theory forms such a complete barrier between paleo- and neologic that any lasting influence from Boole’s work, if it is there at all, seems permanently obscured.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
References
Boole, George, An Investigation of the Laws of Thought, Dover Publications, Inc., New York (1951). A reprint of the London edition of 1854.
Boole, George, Studies in Logic and Probability, edited by R. Rhees, Watts & Co., London (1952).
Bocheński, I.M., A History of Formal Logic, University of Notre Dame Press, Notre Dame, Indiana (1961). A revised translation (by I. Thomas) of Formale Logik, Verlag Karl Alber, Freiburg, Munich (1956).
Heath, P.L., “Boole”, in The Encyclopedia of Philosophy, The MacMillan Co. and The Free Press, New York; Collier-MacMillan, London (1967).
Jevons, W. Stanley, The Principles of Science, a Treatise on Logic and Scientific Method, Dover Publications, Inc., New York (1958). A reprint of the London edition of 1874.
Jevons, W. Stanley, “Pure Logic” (1864) in Pure Logic and Other Minor Works, Burt Franklin, New York (1971). A reprint of the London edition of 1890.
Jørgensen, Jørgen, A Treatise of Formal Logic, Russell and Russell, New York (1962). A reprint of the Copenhagen edition of 1931.
Kneale, William, and Martha Kneale, The Development of Logic, Oxford University Press, Oxford, England (1962).
Kotarbiński, Tadeusz, Leçons sur l’histoire de la logique, Presses universitaires de France (1964). A translation of Wyklady z dziejów logiki, PWN, Warsaw (1964).
Lewis, C.I., A Survey of Symbolic Logic, Dover Publications, Inc., New York (1960). A revision of the University of California Press edition of 1918.
Dummett, Michael, Review of [2], The Journal of Symbolic Logic, vol. 24 (1959), pp. 203–209. [Reprinted in this volume, pp. 79–85.]
Peirce, Charles S., Collected Papers of Charles Sanders Peirce, edited by Charles Hartshorne and Paul Weiss, Harvard University Press, Cambridge (1965).
Schröder, E., Der Operationskreis des Logikkalküls, Teubner, Leipzig (1877).
Schröder, E., Vorlesungen über die Algebra der Logik, 3 vols., Chelsea Publishing Co., Bronx, New York. A reprint of the Leipzig edition of 1890–1905.
Venn, John, Symbolic Logic, Chelsea Publishing Co., Bronx, New York (1971). A reprint of the London edition (2nd) of 1894.
Whitehead, A.N., A Treatise on Universal Algebra, Hafner Publishing Co., New York (1960). A reprint of the Cambridge edition of 1897.
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2000 Springer Science+Business Media Dordrecht
About this chapter
Cite this chapter
Evra, J.W.V. (2000). A Reassessment of George Boole’s Theory of Logic. In: Gasser, J. (eds) A Boole Anthology. Synthese Library, vol 291. Springer, Dordrecht. https://doi.org/10.1007/978-94-015-9385-4_6
Download citation
DOI: https://doi.org/10.1007/978-94-015-9385-4_6
Publisher Name: Springer, Dordrecht
Print ISBN: 978-90-481-5491-3
Online ISBN: 978-94-015-9385-4
eBook Packages: Springer Book Archive