UNITY IN ANCIENT AND MODERN PHILOSOPHY AND HYPOTHESIS OF UNIVERSAL HISTORY.
The paper argues for three things. First, that the concepts of ancient Greek and modern mathematics are fundamentally different. The general treatment of mathematical things in ancient Greek mathematics manifestly does not presuppose a general mathematical object, while in modern mathematics the gen...
| Publicado en: | Problems / Problemos Vol. 82; pp. 59 - 70 |
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| Autor principal: | |
| Formato: | Artículo |
| Publicado: |
Vilnius University
2012
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| Materias: | |
| Acceso en línea: | Ver este registro en EBSCOhost |
| Sumario: | The paper argues for three things. First, that the concepts of ancient Greek and modern mathematics are fundamentally different. The general treatment of mathematical things in ancient Greek mathematics manifestly does not presuppose a general mathematical object, while in modern mathematics the generality of the method presupposes precisely such a general mathematical object. Two, that this difference in concepts of mathematics makes a difference in our understanding of a discipline other than mathematics, specifically, in the discipline of history. And, three, that what is at issue in this difference is whether it is necessary for human beings to understand themselves from the perspective of history in order to understand themselves properly as human. Šiame straipsnyje ginamos trys tezės. Pirma, kad abstrakčios antikos ir naujųjų laikų matematikos sąvokos yra fundamentaliai skirtingos. Bendras matematinių dalykų traktavimas antikos matematikoje akivaizdžiai nesuponuoja tokios matematinio objekto sąvokos, kokią numato naujųjų laikų matematikos metodas. Antra, šis abstrakčių matematikos sąvokų skirtingumas turi įtakos kitos, nematematinės disciplinos, o būtent -- istorijos, supratimui. Trečia, šio skirtumo esminis aspektas yra klausimas, ar savęs kaip žmogaus suvokimui būtina suprasti save iš istorijos perspektyvos. |
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