David Bourget (Western Ontario)
David Chalmers (ANU, NYU)
Rafael De Clercq
Ezio Di Nucci
Jack Alan Reynolds
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History and Philosophy of Logic 8 (1):1-13 (1987)
In his Mathesis rationis Leibniz discounted out of hand four categorical propositions that would have considerably broadened the resultant syllogistic logic. He did this despite the facts both that he had devised a suitable manner for expressing the latent quantification over terms, and that he had reasoned adequately to determine which of the syllogisms in the resulting broadened logic were valid. Leibniz's reasons for discounting these non-standard propositions are shown to be inadequate, and the resultant syllogistic logic is outlined.
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References found in this work BETA
Irving M. Copi (2008). Introduction to Logic. Pearson/Prentice Hall.
Joseph R. Shoenfield (1967). Mathematical Logic. Reading, Mass.,Addison-Wesley Pub. Co..
Hidé Ishiguro (1990). Leibniz's Philosophy of Logic and Language. Cambridge University Press.
Hideko Ishiguro (1974). Leibniz's Philosophy of Logic and Language. Philosophy East and West 24 (3):376-378.
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