Argumentation and counterfactual reasoning in Parmenides and Melissus
DOI:
https://doi.org/10.14195/1984-249X_30_4Keywords:
Parmenides, Melissus, argumentation, demonstration, counterfactual reasoningAbstract
Parmenides and Melissus employ different deductive styles for their different kinds of argumentation. The former’s poem flows in an interesting sequence of passages: contents foreword, methodological premises, krisis, conclusions and corollaries. The latter, however, organizes an extensive process of deduction to show the characteristics of what is. In both cases, the strength of their argument rests on their deductive form, on the syntactical level of their texts: the formal structure of their reasonings help to identify the features and logical intersections of their thoughts. On the one hand, Parmenides uses modal reasoning, enforcing the employment of the principle of the excluded middle. On the other hand, Melissus radicalizes the use of modal reasoning and employs counterfactual statements in order to develop his doctrine of what is. Despite their differences, both deserve a place in the Stone Age of logic and theory of argumentation due to their common ambition to demonstrate what is.
Downloads
References
BARNES, J. (1982). The Presocratic Philosophers. London/Boston, Routledge & Kegan Paul.
BENNETT, J. (2003). A Philosophical Guide to Conditionals. Oxford, Oxford University Press.
BYRNE, R. M. J. (2005). The Rational Imagination. How People Create Alternatives to Reality. Cambridge/London, The MIT Press.
BOLLACK, J. (2006). Parménide: de l’étant au monde. Verdier, Lagrasse.
CERRI, G. (1999). Parmenide di Elea. Poema sulla natura. Milano, BUR.
CHISHOLM, R. M. (1946). The contrary-to-fact conditional. Mind 55, p. 289-307.
COPI, I. M.; COHEN, C.; MCMAHON K. (2014). Introduction to logic. Harlow, Pearson New International Edition.
CORDERO, N.-L. (2004). By Being, It is. The thesis of Parmenides. Las Vegas, Parmenides Publishing.
CORDERO, N.-L.; et al. (2008). Eleatica 2006: Parmenide scienziato? A cura di L. Rossetti e F. Marcacci. Sankt Augustin, Academia Verlag.
CORDERO, N.-L. (2011). Parmenidean ‘Physics’ is not Part of what Parmenides calls ‘doxa’. In: CORDERO, N.-L. (ed.). Parmenides Venerable and Awesome. Las Vegas, Parmenides Publishing, p. 95-113.
COXON, A. (2009). The Fragments of Parmenides: A Critical Text with Introduction, Translation, the Ancient Testimonia and a Commentary. Revised and Expanded Edition by R. McKirahan. Las Vegas, Parmenides Publishing.
DE LONG, J. (2017). From Ionian Speculation to Eleatic Deduction: Parmenides’s Xenophanean Based Theism. In: REID, H. L.; TANASI, D.; KIMBELL, S. (eds.). Politics and Performance in Western Greece. Essays on the Hellenic Heritage of Sicily and Southern Italy. Fonte Aretusa, Parnassos Press.
DE SANTILLANA, G. (1966). Le origini del pensiero scientifico. Da Anassimandro a Proclo 600 a.C. ”“ 500 d.C. Trad. Giulio De Angeils. Firenze, Sansoni. (Pub. orig. 1961)
DIELS, H. (1922). Die Fragmente der Vorsokratiker. Griechisch und deutsch. Nachtrage zusammengestellt fur die Besitzer der Dritten Aufl. Berlin, Weidmann.
DIELS, H.; KRANZ, W. (1951). Die fragmente der Vorsokratiker. 6ed. Berlin, Weidmann.
GOODMAN, N. (1947). The problem of counterfactual conditionals. The Journal of Philosophy 44, p. 113-118.
GOODMAN, N. (1983). Fact, Fiction and Forecast. Cambridge/London, Harvard University Press. (1ed. 1954)
GRAHAM, D. W. (2006). Explaining the cosmos: the Ionian tradition of scientific philosophy. Oxford/Princeton, Princeton University Press.
HARRIMAN, B. (2015). The beginning of Melissus ‘On nature or on what-is’: a reconstruction. The Journal of Hellenic Studies 135, p. 19-34.
KIRK, G. S.; RAVEN, J. E.; SCHOFIELD, M. (1983). The Presocratic Philosophers. Cambridge/London, Cambridge University Press.
LAKS, A.; MOST, G. W. (eds.) (2016). Early Greek Philosophy. Vol. 5: Western Greek Thinkers, Part 2. Cambridge/London, Harvard University Press.
LEWIS, D. K. (1973). Counterfactuals. Oxford, Blackwell.
LEWIS, F. A. (2009). Parmenides’ Modal Fallacy. Phronesis 54, n. 1, p. 1-8.
LOENEN, J. H. M. M. (1951). Parmenides, Melissus, Gorgias. Assen, Royal VanGorcum Ltd.
MANSFELD, J. (2016). Melissus between Miletus and Elea. A cura di M. Pulpito. Sankt Augustin, Academia Verlag.
MANSFELD, J. (1964). Die offenbarung des Parmenides und die menschliche welt. Assen, Van Gorcum.
MARCACCI, F. (2012). Alle origini dell’assiomatica. Roma, Aracne.
MORATO, V. (2019). Controfattuali. Aphex 21. Available at http://www.aphex.it/index.php?Temi=557D03012202740321050607777327. Accessed in 30/01/2020.
MOURELATOS, A. P. D. (2008). The Route of Parmenides. 2ed (Revised and Expanded Edition with a New Introduction Three Supplemental Essays, and an Essay by Gregory Vlastos). Las Vegas, Parmenides Publishing. (1 ed. 1970)
MOURELATOS, A. P. D. (2016). Two Neo-Analytic Approaches to Parmenides’ Metaphysical-Cosmological Poem. Rhizomata 4, n. 2, p. 257-268.
PALMER, J. (2004). Melissus and Parmenides. In: SEDLEY, D. (ed.). Oxford Studies in Ancient Philosophy 26. Oxford, Oxford University Press, p. 19-54.
PALMER, J. (2009). Parmenides and Presocratic Philosophy. Oxford/New York, Oxford University Press.
POLLOCK, J. L. (1992). Interest driven suppositional reasoning. Journal of Automated Reasoning 6, p. 419-462.
PULPITO, M. (2007). Parmenides and the Forms. In: CORDERO, N.-L. (ed.). Parmenides, Venerable and Awesome (Plato, Theaetetus 183e). Las Vegas/Zurich/Athens, Parmenides Publishing.
PULPITO, M. (2018). Melisso critic di Parmenide: una rivalità mimetica. Archai 22, p. 17-40.
RAVEN, J. E. (1948). Pythagoreans and Eleatics. Cambridge, Cambridge University Press.
REA, M. C. (2001). How to Be an Eleatic Monist. Metaphysics 15, p. 129-151.
REALE, G. (ed.) (1970). Melisso. Testimonianze e frammenti. Firenze, La Nuova Italia. (Reprinted apud UNTERSTEINER, M. and REALE G. (eds.) (2011). Eleati. Parmenide ”“ Zenone ”“ Melisso. Testimonianze e frammenti. Milano, Bompiani.)
ROSSETTI, L. (2010). La structure du poème de Parménide. Philosophie antique 10, p. 187-226.
ROSSETTI, L. (2017). Un altro Parmenide. 2 vols. Bologna, Diogene Multimedia.
RUGGIU, L. (2011). Ontologia, scienza mito. Per una nuova lettura di Parmenide. Milano, Mimesis.
SEDLEY, D. (1999). Parmenides and Melissus. In: LONG, A. A. (ed.). The Cambridge Companion to Early Greek Philosophy. Cambridge/NewYork/Melbourne, Cambridge University Press, p. 113-133.
STANNARD, J. (1960). Parmenidean Logic. The Philosophical Review 69, n. 4, p. 526-533.
STARR, W. (2019). Counterfactuals. In: ZALTA, E. N. (ed.). The Stanford Encyclopedia of Philosophy. Fall 2019 Edition. Available at https://plato.stanford.edu/entries/counterfactuals/. Accessed in 30/01/2020.
SZABÓ, Á. (1977). Les débuts des mathématiques grecques. Paris, J. Vrin.
VITALI, R. (1973). Melisso di Samo sul mondo o sull’essere. Una interpretazione dell’eleatismo. Urbino, Argalìa Editore.
WEDIN, M. V. (2014). Parmenides’ Grand Deduction. A Logical Reconstruction of the Way of Truth. Oxford, Oxford University Press.
ZHMUD, L. (2006). The Origin of the History of Science in Classical Antiquity. London/New York, Walter de Gruyter.
Downloads
Published
How to Cite
Issue
Section
License
Given the public access policy of the journal, the use of the published texts is free, with the obligation of recognizing the original authorship and the first publication in this journal. The authors of the published contributions are entirely and exclusively responsible for their contents.
1. The authors authorize the publication of the article in this journal.
2. The authors guarantee that the contribution is original, and take full responsibility for its content in case of impugnation by third parties.
3. The authors guarantee that the contribution is not under evaluation in another journal.
4. The authors keep the copyright and convey to the journal the right of first publication, the work being licensed under a Creative Commons Attribution License-BY.
5. The authors are allowed and stimulated to publicize and distribute their work on-line after the publication in the journal.
6. The authors of the approved works authorize the journal to distribute their content, after publication, for reproduction in content indexes, virtual libraries and similars.
7. The editors reserve the right to make adjustments to the text and to adequate the article to the editorial rules of the journal.