Ancient Logic and Its Modern Interpretations: Proceedings of by Norman Kretzmann (auth.), John Corcoran (eds.)

By Norman Kretzmann (auth.), John Corcoran (eds.)

During the final part century there was innovative development in common sense and in logic-related components resembling linguistics. HistoricaI wisdom of the origins of those matters has additionally elevated considerably. therefore, it'll appear that the matter of making a choice on the level to which old logical and linguistic theories admit of actual interpretation in glossy phrases is now ripe for research. the aim of the symposium used to be to collect logicians, philosophers, linguists, mathematicians and philologists to provide examine effects referring to the above challenge with emphasis on good judgment. shows and discussions on the symposium concentrated themselves into 5 parts: historical semantics, glossy learn in historic common sense, Aristotle's good judgment, Stoic good judgment, and instructions for destiny study in old common sense and logic-related parts. Seven of the papers which seem lower than have been initially awarded on the symposium. In each case, dialogue on the symposium ended in revisions, every so often to wide revisions. The editor steered nonetheless additional revisions, yet in each case the writer used to be the finaljudge of the paintings that looks less than his name.

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Extra info for Ancient Logic and Its Modern Interpretations: Proceedings of the Buffalo Symposium on Modernist Interpretations of Ancient Logic, 21 and 22 April, 1972

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Searle, Speeeh Aets, Cambridge Univ. Press, Cambridge, 1969; and L. Wittgenstein, Philosophieallnvestigations, Basi! BIaekweII, Oxford, 1953, esp. pp. 1-25,304. 8 This sort of development was suggested to me by John Corcoran, to whom I am also indebted for suggestions incorporated at several places. PART TWO MODERN RESEARCH IN ANCIENT LOGIC IAN MUELLER GREEK MATHEMATICS AND GREEK LOGIC 1. INTRODUCTION By 'logic' I mean 'the analysis of argument or proof in terms of form'. The two main examples of Greek logic are, then, Aristotle's syHogistic developed in the fint twenty-two chapters of the Prior Analytics and Stoic propositionallogic as reconstructed in the twentieth century.

This account has been sketchy and programmatie, and is not intended to establish a definitive reading ofthe Categories. 21. One advantage of such a linguistic reading is that it brings the discussion of categories into a field of active scholarly research. It thereby makes possibie a rational and potentially useful criticism of Aristotle's work. ) both from individuals and from natural kinds (species and genera) - perhaps making use of the distiction between mass nouns and count nouns. 8 A LINGUlSTIC READ IN G OF THE 'CATEGORIES' 31 22.

6Sa4-7. Aristotle illustrates 'begging the question' with a brief reference to "those who think they draw parallel lines". A satisfactory explanation of this passage would throw light on the history of mathematics but not on syllogistic. For the illustration occurs in a general description of 'begging the question' and would be compatibie with any deductive logic. 6Sbl6-21 and 66all-15 are equally general. In the former Aristotle gives a presumably fictitious example of a reductio ad absurdum in which the absurdity is not attributable to the hypothesis refuted, namely, an attempt to derive a Zenonian paradox from the hypothesis of the commensurability of the side of a square with its diagonal.

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