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Analytics vs. Elements

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Abstract

On the basis of recent work concerning the meaning of the term stoicheion (στοιχεῖον) in Aristotle’s Analytics, we strengthen the view that this treatise can be viewed as a precursor of Euclid’s Elements.

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Notes

  1. Namely, [4,5,6, 9].

  2. See, e.g., the works of Burkert [4], Diels [7], Einarson [9], Koller [12], Lagercrantz [13], Lumpe [14], Schwabe [19] and Vollgraf [21].

  3. At the end of an oral presentation of an earlier version of this paper during a Workshop on Aristotle’s Logic (Vienna, May 2019).

References

  1. Barker, L.: Why are aristotle and euclid so modernistic? Lecture notes posted at http://www.fen.bilkent.edu.tr/barker/modern.pdf

  2. Barnes, J.: The Complete Works of Aristotle. Princeton/Bollingen Series LXXI, 2 vols., 1991

  3. Brunschvicg, L.: Les Etapes de la Philosophie Mathématique. F. Alcan, Paris (1912)

    MATH  Google Scholar 

  4. Burkert, W.: \({\Sigma }\)TOIXEION Eine semasiologische Studie. Philologus 103, 167–97 (1959)

    Article  Google Scholar 

  5. Castelli, L., and Rapp, C.: The logical branch of Aristotle’s Dialectic. Traces of an early project. Lecture notes, Workshop on Aristotle’s Logic, Vienna, May p. 32 (2019)

  6. Crowley, T.J.: On the use of stoicheion in the sense of element. Oxford Studies Ancient Philos. 29, 367–94 (2005)

    Google Scholar 

  7. Diels, H.: Elementum: Eine Vorarbeit zum griechischen und lateinischen Thesaurus. Leipzig, (1899)

  8. Dimitracopoulos, C., Kapadais, D., and Karamanolis, G.: Stoicheia in Prior Analytics I. 23, submitted for publication, p. 19

  9. Einarson, B.: On certain mathematical terms in Aristotle’s logic: Part I. Am. J. Philol. 57, 33–54 (1936)

    Article  Google Scholar 

  10. Greenwood, T.: Euclid and Aristotle. Thomist: Specul. Q. Rev. 15, 374–403 (1952)

    Article  Google Scholar 

  11. Kennedy, G.A.: On Rhetoric. Oxford University Press, Oxford (2007)

    Google Scholar 

  12. Koller, H.: Stoicheion. Glotta 34, 161–74 (1955)

    Google Scholar 

  13. Lagercrantz, O.: Elementum. Uppsala, (1911)

  14. Lumpe, A.: Der Begriff element im Altertum. Archiv für Begriffsgeschichte 7, 285–93 (1962)

    Google Scholar 

  15. Malink, M.: Aristotle on principles as elements. Oxf. Stud. Anc. Philos. 53, 163–213 (2017)

    Google Scholar 

  16. Phili, C.: Aristotle the Predecessor of Euclid (in Greek). Yearbook of the Research Centre for Greek Philosophy (Academy of Athens) 39, 170–84 (2009)

    Google Scholar 

  17. Diadochus, P.: In Primum Euclidis Elementarum Librum Commentaria. Friedlein, Leipzig (1873)

    Google Scholar 

  18. Ross, W.D.: Aristotle’s Prior and Posterior Analytics: A Revised Text with Introduction and Commentary. Oxford, (1949)

  19. Schwabe, W.: “Mischung” und “Element” im Griechischen bis Platon. Archiv für Begriffsgeschichte suppl. 3 (1980)

  20. Simpson, S. G.: Logic and Mathematics. In The Examined Life: Readings from Western Philosophy from Plato to Kant, edited by S. Rosen, Random House, pp. 577-605, (2000)

  21. W. Vollgraf, Elementum. Mnemosyne\(^2\)4 (1940), 89-115

  22. L. von Spengel, Eudemi Rhodii Peripatetici Fragmenta quae supersunt. Berlin, 1866

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  1. Department of History and Philosophy of Science, National and Kapodistrian University of Athens, 15771, Athens, Greece

    Costas Dimitracopoulos

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  1. Costas Dimitracopoulos
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Correspondence to Costas Dimitracopoulos.

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The author is grateful to D. Kapadais and G. Karamanolis, for several stimulating discussions concerning Aristotelian logic, in general, and the problematic of the present paper, in particular. In fact, the present paper is, to a large extent, an exposition of the main ideas contained in the joint manuscript [8].

Winner of the Aristotle Logic Prize (2021) and contestant in the 2nd World Logic Prizes Contest at UNILOG’2022, Crete.

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Dimitracopoulos, C. Analytics vs. Elements. Log. Univers. 16, 237–252 (2022). https://doi.org/10.1007/s11787-022-00297-6

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