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This number of newly comissioned essays by way of overseas participants deals a consultant evaluate of crucial advancements in modern philosophical logic.

•Presents controversies in philosophical implications and functions of formal symbolic good judgment.

•Surveys significant tendencies and provides unique insights.

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One piece of evidence in favor of that is the ‘Master’ argument developed by Diodorus Cronus (c. 360–c. 290 BCE). Our sources identify Diodorus as a Megarian (though some scholars have disagreed); his dates are unclear, and it is just possible that Aristotle is actually responding to Diodorus, though I think it more likely that he is replying to an ancestor of the Master developed by other Megarians. In any event, the Master began with a proof that the following three propositions form an inconsistent triad, so that the affirmation of any two entails the denial of the third: 19 ROBIN SMITH 1.

And Sedley, D. N. (1987) The Hellenistic Philosophers. 2 vols. Cambridge: Cambridge University Press. (Comprehensive discussion of all the Hellenistic schools, including the Stoics, as well as Diodorus Cronus. ) Mates, Benson (1953) Stoic Logic. Berkeley: University of California Press. Mueller, Ian (1978) An introduction to Stoic logic. Chapter 1 in J. M. ), The Stoics. Berkeley, Los Angeles, London: University of California Press. On the Master argument and the argument of On Interpretation 9 Anscombe, G.

Medieval logic, to its credit and great advantage, draws upon a richer spectrum of semantic notions. In effect, the medievals split our modern notion of reference into two notions, namely signification and supposition. The language studied by medieval logicians is a highly stylized, technical Latin, with rigid syntactic rules and clear meaning and in this it resembles, not our current metalinguistic predicate-calculus, but rather those interpreted formal languages that were used by Frege and others to inaugurate modern logic.

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