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...

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Publicado en:Problems / Problemos Vol. 82; pp. 59 - 70
Autor principal: Hopkins, Burt C.
Formato: Artículo
Publicado: Vilnius University 2012
Materias:
Acceso en línea:Ver este registro en EBSCOhost
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        10.15388/Problemos.2012.0.726
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        au: Hopkins, Burt C.
        affil: College of Arts and Sciences, Seattle University , 901 12th Ave, P.O. Box 222000, Seattle WA 98122
      su:
        Modern philosophy
        Hypothesis
        World history
        Greek mathematics
        Self-consciousness (Sensitivity)
        Comprehension
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          Modern philosophy
          Hypothesis
          World history
          Greek mathematics
          Self-consciousness (Sensitivity)
          Comprehension
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        concept of number
        history
        istorija
        matematiniai objektai
        mathematical objects
        savimonė
        self-consciousness
        skaičiaus sąvoka
        istorija
        matematiniai objektai
        savimonė
        skaičiaus sąvoka
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        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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    language: English
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