Aither is a double-blind peer review, Open Access online academic journal. It is indexed at ERIH+ and Scopus. It is published by the Faculty of Arts of the Palacký University in Olomouc in cooperation with the Philosophical Institute of the Academy of Sciences of the Czech Republic. It comes out twice a year. Every second issue is international and contains foreign-language articles (mainly in English, but also in German and French). The journal is registered under the number ISSN 1803-7860.

Aither 14/2015:56-67 | DOI: 10.5507/aither.2015.014

Mathematics as a Means of Turning the Mind to the Dialectical Study of the Good Rectification of a Traditional Translation Error

Ivan Chvatík
Centrum pro teoretická studia, společné pracoviště UK a AVČR
Archiv Jana Patočky při FLÚ

Using the backdrop of the analysis of Plato's metaphor of the Divided Line, the author wants to show the unsustainability of the traditional translation of the sentence in Plato's Republic at 533c/d. At the transition from the third to the forth part of the Line, i. e. from the deductive (mathematical) dianoia to the dialectical noésis, the author argues, that it is not appropriate to destroy the hypotheses used in the deduction, but rather it is necessary to take them up again and, in the dialectical research, to establish which one of them might stand and would be able to serve in the third part of the Line as an axiom and which, on the contrary, might have to be destroyed as unusable.

Published: September 30, 2015  Show citation

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Chvatík, I. (2015). Mathematics as a Means of Turning the Mind to the Dialectical Study of the Good Rectification of a Traditional Translation Error. Aither, 7(14), 56-67. doi: 10.5507/aither.2015.014
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    References

    1. Adam, J. (ed.) (1902). The Republic of Plato. Cambridge: Cambridge University Press.
    2. Kůrka, P., Matoušek, A., Velický, B. (2011). Spor o matematizaci světa. Červený Kostelec: Pavel Mervart.
    3. Platón (1877). Platonis opera (eds. C. E. Ch. Schneider, J. Hunziker). Paris: Editore Ambrosio Firmin Didot.
    4. Platón (1881). Platons Staat: Griechisch und Deutsch mit kritischen und erklärenden Anmerkungen. Leipzig: Engelmann.
    5. Platón (1940). Sämtliche Werke / 2 (přel. E. Loewenthal). Berlin: Lambert Schneider.
    6. Platón (1996). The collected dialogues of Plato, including the letters (eds. E. Hamilton, H. Cairns). Princeton: Princeton University Press.
    7. Robinson, R. (1970). Plato's Earlier Dialectic. Vyd. 2. Oxford: Clarendon Press.

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