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  1. (1 other version)On the correctness of problem solving in ancient mathematical procedure texts.Mario Bacelar Valente - 2020 - Revista de Humanidades de Valparaíso 16:169-189.
    It has been argued in relation to Old Babylonian mathematical procedure texts that their validity or correctness is self-evident. One “sees” that the procedure is correct without it having, or being accompanied by, any explicit arguments for the correctness of the procedure. Even when agreeing with this view, one might still ask about how is the correctness of a procedure articulated? In this work, we present an articulation of the correctness of ancient Egyptian and Old Babylonian mathematical procedure texts – (...)
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  • A Theory of the Knowledge Industry.Hisham Ghassib - 2012 - International Studies in the Philosophy of Science 26 (4):447-456.
    This article deals with the social production of knowledge in the exact sciences. After defining the term ?exact science?, it delineates the broad dynamic of its history. It, then, offers a socio-economic historical explanation of why the production of knowledge has become a major industry, if not the largest industry, in the last hundred years. The article concludes by drawing a detailed blueprint of the components, mechanisms, and specificities of the knowledge industry.
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  • Eudoxos and dedekind: On the ancient greek theory of ratios and its relation to modern mathematics.Howard Stein - 1990 - Synthese 84 (2):163 - 211.
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  • Pānini and Euclid: Reflections on Indian Geometry. [REVIEW]Johannes Bronkhorst - 2001 - Journal of Indian Philosophy 29 (1/2):43-80.
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  • Do Conceito de Número e Magnitude na Matemática Grega Antiga.Diego P. Fernandes - 2017 - Revista de Humanidades de Valparaíso 9:7-23.
    The aim of this text is to present the evolution of the relation between the concept of number and magnitude in ancient Greek mathematics. We will briefly revise the Pythagorean program and its crisis with the discovery of incommensurable magnitudes. Next, we move to the work of Eudoxus and present its advances. He improved the Pythagorean theory of proportions, so that it could also treat incommensurable magnitudes. We will see that, as the time passed by, the existence of incommensurable magnitudes (...)
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  • (1 other version)La refutabilidad del sistema de epiciclos y deferentes de Ptolomeo.Christián C. Carman - 2010 - Principia: An International Journal of Epistemology 14 (2):211-239.
    To assert that the ancient planetary theory proposed by Ptolemy was irrefutable – at least until the telescope discovery – is a bit of a cliché. The aim of this paper is to analyze in what sense it could be said that the epicycle and deferent model proposed by Ptolemy to explain the planetary movement is irrefutable and in what sense it is not. To do this, we will use the conceptual framework developed by the Structuralist Conception, and in particular, (...)
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