Abstract
The Stoics are traditionally regarded as the founders of propositional logic. However, this is not entirely correct. They developed a theory of inference from signs (omens). And their theory became a continuation of the logical technique of Babylonian divination (in particular, of Babylonian medical forecasting). The Stoic theory was not so much propositional logic as it was a technique of propositional logic for databases consisting of IF-THEN expert rules. In the Babylonian divination, each event has a positive or negative value and all events are connected to each other. The Stoics also developed this idea and proposed a special modal logic in which logical determinism is considered an axiom. The paper reconstructs the sign-inference of the Stoics, as well as their modal logic. In particular, two Stoic squares of oppositions are proposed (for signs and for modal operators), which differ markedly from Aristotle’s square.
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Notes
In [22, p. 98], it is ‘if’ instead of ‘and’, but it is a wrong translation – we do not see DIŠ or šumma at this place, and in the case of ‘if’ this statement is not true in Boolean algebra.
The same, we should read ‘and’, not ‘if’.
References
Adams, Ch.D. (ed.): The Genuine Works of Hippocrates. William Wood and Company, New York (1868)
Allen, J.: Inference from Signs. Ancient Debates about the Nature of Evidence. Clarendon Press, Oxford (2001)
Burnyeat, M.F.: The origins of non-deductive inference. In: Barnes, J., et al. (eds.) Science and Speculation, pp. 193–238. Cambridge University Press, Cambridge (1982)
Chusova, Laura Anatolyevna [Чусова Лора Анатольевна]. Prophetic texts in cuneiform literature and the Bible (comparative analysis) [Пророческие тексты в клинописноЙ литературе и Библии (сравнительныЙ анализ)]. Master thesis. Saint Petersburg (2019)
De Lacy, Ph.H., De Lacy, E.A. (eds.): Philodemus: On Methods of Inference. A Study in Ancient Empiricism. American Philological Association, Philadelphia (1941)
Dossin, G.: La correspondance feminine. Archives Royals de Mari (ARM) 10. Geuthner, Paris (1978)
Dossin, G., Bottéro, J., Birot, M., Lurton Burke, M., Kupper, J.-R., Finet, A.: Archives royales de Mari. XIII. Geuthner, Paris (1964)
Durand, J.-M.: Les textes prophétiques. ARM 26/I. ERC, Paris, 377-412 (1988)
Fincke, J. C.: The Babylonian Texts of Nineveh. Report on the British Museum’s Ashurbanipal Library Project, Archiv für Orientfurschung 50, 111–149 (2003/2004)
Garson, J.W.: Modal Logic for Philosophers. Cambridge University Press, Cambridge (2006)
Geller, M. J.: Babylonian Medicine as a Discipline. In The Cambridge History of Science. Ancient Science. Edited by Alexander Jones, University of Toronto, and Liba Taub, University of Cambridge, 29–57 (2019)
van der Horst, P.W.: Chaeremon Egyptian Priest and Stoic Philosopher. The fragments collected and translated with explanatory notes. Brill, Leiden, New York (1987)
Huehnergard, J.: A Grammar of Akkadian, 3d edn. Eisenbrauns, Winona Lake, Indiana (2011)
Jean, Ch.-F.: Lettres Diverses. Archives Royals de Mari (ARM). Imprimerie Nationale, Paris (1950)
Kidd, I.G.: Posidonius. Volume III: The Translation of the Fragments. Cambridge University Press, Cambridge (1999)
Kupper, J.R.: Correspondance de Kibri-Dagan, Gouverneur de Terqa, Archives Royals de Mari (ARM) 3. Imprimerie Nationale, Paris (1950)
Ross, W.D. (ed.): Ars Rhetorica. Aristotle. Clarendon Press, Oxford (1959)
Rouault, O.: Terqa Final Reports No. 2: Les textes des saisons 5 à 9. Bibliotheca Mesopotamica vol. 29. Undena Publications, Malibu (2011)
Schumann, A.: On the Origin of Logical Determinism in Babylonia. Log. Univers. 15, 331–357 (2021)
Schumann, A.: Sign-inferences in Greek and Buddhist Logic. History and Philosophy of Logic (2024). https://doi.org/10.1080/01445340.2023.2295176
Schumann, A.: Archaeology of Logic. Taylor & Francis Group, Milton Park (2023)
Scurlock, J.A.: Sourcebook for Ancient Mesopotamian Medicine. SBL Press, Atlanta (2014)
von Arnim, H. (ed.).: Stoicorum Veterum Fragmenta. Vol. I – IV. Teubner (1903–1924)
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Schumann, A. Stoic Sign-Inference and Their Lore of Fate. Log. Univers. (2024). https://doi.org/10.1007/s11787-024-00346-2
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DOI: https://doi.org/10.1007/s11787-024-00346-2