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Philosophia

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A Hexagon of Opposition for the Theism/Atheism Debate

  • Lorenz Demey
Article
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Abstract

Burgess-Jackson has recently suggested that (the logical structure underlying) the debate between theism and atheism can be represented by means of a classical square of opposition. However, in light of the important role that the position of agnosticism plays in Burgess-Jackson’s analysis, it is quite surprising that this position is not represented in the proposed square of opposition. I therefore argue that the square of opposition should be extended to a slightly larger, more complex Aristotelian diagram, viz., a hexagon of opposition. Since this hexagon does represent the position of agnosticism (and its Aristotelian relations to the original positions of theism and atheism that are already present in the square), it arguably yields a more helpful representation of (Burgess-Jackson’s analysis of) the theism/atheism debate (e.g., concerning the distinction between positive atheism and negative atheism). It would be naïve to presume that Aristotelian diagrams can, by themselves, lead to a comprehensive solution of debates as intricate as that between theism and atheism. Nevertheless, this paper aims to show that these diagrams — especially if they are chosen carefully — have an important methodological role to play, by systematically organizing and clarifying the debate.

Keywords

Theism Atheism Agnosticism Square of opposition Hexagon of opposition Aristotelian diagram 

References

  1. Bartsch, R. (1973). Negative transportation’ gibt es nicht. Linguistische Berichte, 27, 1–7.Google Scholar
  2. Blanché, R. (1953). Sur l’opposition des concepts. Theoria, 19, 89–130.CrossRefGoogle Scholar
  3. Blanché, R. (1966). Structures intellectuelles. Essai sur l’organisation systématique des concepts. Paris: Vrin.Google Scholar
  4. Bosanquet, B. (1888). Logic. Volume I. Oxford: Clarendon Press.Google Scholar
  5. Boyd, G. A. (2010). Two ancient (and modern) motivations for ascribing exhaustively definite foreknowledge to god: A historic overview and critical assessment. Religious Studies, 46, 41–59.CrossRefGoogle Scholar
  6. Boyd, G. A., Belt, T., & Rhoda, A. (2008). The hexagon of opposition: thinking outside the Aristotelian box. Unpublished manuscript; available online at http://reknew.org/2008/01/the-hexagon-essay/ (Accessed on 30 October 2017).
  7. Burgess-Jackson, K. (1998). Teaching legal theory with Venn diagrams. Metaphilosophy, 29, 159–177.CrossRefGoogle Scholar
  8. Burgess-Jackson, K. (forthcoming). Rethinking the presumption of atheism. International Journal for Philosophy of Religion.  https://doi.org/10.1007/s11153-017-9637-y, 2017.
  9. Dekker, E. (1993). Jacobus Arminius and his logic: Analysis of a letter. Journal of Theological Studies, 44, 118–142.CrossRefGoogle Scholar
  10. Dekker, E. (2000). The theory of divine permission according to Scotus’ Ordinatio I 47. Vivarium, 38, 231–242.CrossRefGoogle Scholar
  11. Demey, L. (2017). Using syllogistics to teach metalogic. Metaphilosophy, 48, 575–590.CrossRefGoogle Scholar
  12. Demey, L. (forthcoming). Aristotelian diagrams in the debate on future contingents. A methodological reflection on Hess’s open future square of opposition. Sophia  https://doi.org/10.1007/s11841-017-0632-7, 2018.
  13. Demey, L., & Smessaert, H. (forthcoming). Combinatorial bitstring semantics for arbitrary logical fragments. Journal of Philosophical Logic.  https://doi.org/10.1007/s10992-017-9430-5, 2018.
  14. Flew, A. (1972). The presumption of atheism. Canadian Journal of Philosophy, 2, 29–46.CrossRefGoogle Scholar
  15. Hess, E. (2017). The open future square of opposition: A defense. Sophia, 56, 573–587.CrossRefGoogle Scholar
  16. Horn, L. R. (1989). A natural history of negation. Chicago: University of Chicago Press.Google Scholar
  17. Horn, L. R. (2012). Histoire d’*O: Lexical pragmatics and the geometry of opposition. In J.-Y. Béziau & G. Payette (Eds.), The square of opposition: A general framework for cognition (pp. 383–416). Bern: Peter Lang.Google Scholar
  18. Jacoby, P. (1950). A triangle of opposites for types of propositions in Aristotelian logic. New Scholasticism, 24, 32–56.CrossRefGoogle Scholar
  19. Jaspers, D., & Seuren, P. A. M. (2014). The square of opposition in Catholic hands: A chapter in the history of 20th-century logic. Logique et Analyse, 59, 1–35.Google Scholar
  20. Martin Bac, J. (2010). Perfect will theology: Divine Agency in Reformed Scholasticism as against Suárez, Episcopius, Descartes, and Spinoza. Leiden: Brill.Google Scholar
  21. McCall, T. H. (2014). Was Arminius an (unwitting) determinist? Another look at Arminius’s modal logic. Journal of Reformed Theology, 8, 301–309.CrossRefGoogle Scholar
  22. Moulder, J. (1971). Logicians and agnostics. Sophia, 10, 1–5.CrossRefGoogle Scholar
  23. Parsons, T. (2017). The traditional square of opposition. In: Zalta, E. N. (Ed.), Stanford Encylcopedia of Philosophy, Summer 2017 edition.Google Scholar
  24. Sesmat, A. (1951). Logique II. Les raisonnements. La syllogistique. Paris: Hermann.Google Scholar
  25. Seuren, P. A. M., & Jaspers, D. (2014). Logico-cognitive structure in the lexicon. Language, 90, 607–643.CrossRefGoogle Scholar
  26. Smessaert, H., & Demey, L. (2014). Logical geometries and information in the square of oppositions. Journal of Logic, Language and Information, 23, 527–565.CrossRefGoogle Scholar

Copyright information

© Springer Science+Business Media B.V., part of Springer Nature 2018

Authors and Affiliations

  1. 1.Center for Logic and Philosophy of ScienceKU LeuvenLeuvenBelgium

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