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Part of the book series: Synthese Historical Library ((SYHL,volume 9))

Abstract

In their logical theory Stoic philosophers made use of a simple but important distinction alleged to hold among valid arguments, a distinction to which Aristotle had first called attention.1 They distinguished those arguments whose validity is evident from those whose validity is not evident and so needs to be demonstrated. The Stoics, having supposed that the distinction obtains, raise and answer the question, how does one demonstrate the validity of those arguments whose validity is not plain? The Stoics appear to have set forth both a discursive method of demonstration and a test for validity. In this paper I examine these two facets of Stoic logic.2

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Bibliography

  • Alexander, In Aristotelis Analyticorum Priorum Librum I Commentarium, G. Reimer, Berlin, 1883.

    Google Scholar 

  • Aristotelis, Analytica Priora et Posteriora (ed. by W. D. Ross with Preface and Appendix by L. Minio-Paluello ), Clarendon Press, Oxford, 1964.

    Google Scholar 

  • Arnim, Hans von, Stoicorum Veterum Fragmenta, Vol. II., B. G. Teubner, Leipzig, 1903.

    Google Scholar 

  • BocheÅ„ski, I. M., Ancient Formal Logic, North-Holland Publ. Co., Amsterdam, 1963.

    Google Scholar 

  • Cicero, De Divinatione, Harvard Univ. Press, Cambridge, Mass., 1959.

    Google Scholar 

  • Diogenes Laertius, Vitae, Book vii, Harvard Univ. Press, Cambridge, Mass., 1950.

    Google Scholar 

  • Gould, Josiah B., The Philosophy of Chrysippus, E. J. Brill (reprinted ), Leiden, 1971.

    Google Scholar 

  • Hurst, Martha, ‘Implication in the Fourth Century B.C.’, Mind 44 (1935), 484–495.

    Article  Google Scholar 

  • Kneale, William and Kneale, Martha, The Development of Logic, The Clarendon Press, Oxford, 1962.

    Google Scholar 

  • Lewis, C. I. and Langford, C. H., Symbolic Logic. 2nd ed. Dover Publications, New York, 1959.

    Google Scholar 

  • Mates, Benson, Stoic Logic, Univ. of California Press, Berkeley, Calif., 1961.

    Google Scholar 

  • Sextus Empiricus, Outlines of Pyrrhonism, Book ii, Harvard Univ. Press, Cambridge, Mass., 1955.

    Google Scholar 

  • Sextus Empiricus, Adversus Mathematicos, Book viii, Harvard Univ. Press, Cambridge, Mass., 1957.

    Google Scholar 

  • Whitehead, Alfred N. and Russell, Bertrand, Principia Mathematica to *56, 2nd ed., Cambridge Univ. Press, 1964.

    Google Scholar 

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© 1974 D. Reidel Publishing Company, Dordrecht-Holland

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Gould, J. (1974). Deduction in Stoic Logic. In: Corcoran, J. (eds) Ancient Logic and Its Modern Interpretations. Synthese Historical Library, vol 9. Springer, Dordrecht. https://doi.org/10.1007/978-94-010-2130-2_8

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  • DOI: https://doi.org/10.1007/978-94-010-2130-2_8

  • Publisher Name: Springer, Dordrecht

  • Print ISBN: 978-94-010-2132-6

  • Online ISBN: 978-94-010-2130-2

  • eBook Packages: Springer Book Archive

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