Part of the book series:Synthese Library ((SYLI,volume 291))
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Abstract
In theLaws of Thought, Boole abandoned the interpretation of secondary propositions based on the notion of ‘conjunctures of circumstances’ (or in terms of the ‘uni-verse of cases’) as proposed inMathematical Analysis of Logic,1 and developed an original semantical theory based upon temporal relations between propositions.2 This new approach emphasizes the notion of duration in order to give a temporal interpretation of several propositions and thereby to determine the respective periods of their duration.
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References
Boole, G. 1847.The mathematical analysis of logic, being an essay towards a calculus of deductive reasoning. Cambridge: Macmillan, Barclay and Macmillan. Reprinted in Boole (1952), 45–119.
Boole, G. 1854.An investigation of the laws of thought on which are founded the mathematical theories of logic and probabilities. London: Walton and Maberley.
Boole, G. 1952.Studies in logic and probability. Edited by R. Rhees. La Salle: Open Court.
Carnap, R. 1934.Logische Syntax der Sprache. Wien: Julius Springer.
Frege, G. 1979.Posthumous writings. Oxford: Blackwell.
Hailperin, T. 1986.Boole’s logic and probability. 2nd ed. Amsterdam: North-Holland.
Kneale, W., and M. Kneale. 1962.The development of logic. Oxford: Clarendon Press.
Prior, A.N. 1948. Categoricals and hypotheticals in George Boole and his successors.The Australasian Journal of Philosophy 27: 171–96.
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Authors and Affiliations
Université de Paris VII, UMR 7597, CNRS, case 7034, 2 place Jussieu, 75 251, Paris cedex 05, France
Béatrice Godart-Wendling
- Béatrice Godart-Wendling
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University of Lausanne, Switzerland
James Gasser
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© 2000 Springer Science+Business Media Dordrecht
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Godart-Wendling, B. (2000). The Conceptualization of Time in Boole’s Algebraic Logic. In: Gasser, J. (eds) A Boole Anthology. Synthese Library, vol 291. Springer, Dordrecht. https://doi.org/10.1007/978-94-015-9385-4_13
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