Research Articles (Philosophy)
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Browsing Research Articles (Philosophy) by Author "Strauss, Danie"
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Item Open Access Defining mathematics(University of the Free State, 2011) Strauss, DanieEnglish: Any definition of mathematics falls outside its field of investigation. When mathematics is set theory, the history of mathematics prior to the investing of set theory is eliminated. Arguing that the aspects of number and space delimit mathematics makes it possible to avoid both Platonism and constructivism in mathematics. Every philosophy of mathematics should be able to account for the nature and status of the infinite. That set theory is a spatially deepened theory of numbers cannot be accounted for by what Lakoff and Núñez call the Basic Metaphor of Infinity. Gödel’s 1931 results point to an immediate, evident, intuitive insight.Item Open Access The reformational legacy within political theory(Faculty of the Humanities, University of the Free State, 2010-09) Strauss, DaniePolitical theory in the West continued to suffer from the disturbing one-sidedness of atomistic (individualistic) and holistic (universalistic) orientations precluding a proper understanding of the nature of a differentiated society and the place of the state as a public legal institution within it. In this contribution attention is asked for the theoretical legacy within which Prof. Daan Wessels pursued his teaching, research and public performances. Traditional theories of the state never succeeded in delimiting the competency of the state because they did not proceed from an understanding of the sphere-sovereignty of the jural aspect of reality that serves as the guiding or qualifying function of the state as a public legal institution, having its foundation within the cultural-historical aspect of reality.Item Open Access World view, philosophy, and the teaching of arithmetic(University of the Free State, 2013) Strauss, DanieEnglish: Dilthey’s emphasis on the relativity of world and life views inspired Spengler to speak of different worlds of number. Yet, within Greek culture, Greek mathematics switched from arithmeticism to a geometrisation of mathematics. Since the Renaissance the ideal of sovereign human reason, which viewed human understanding as the (a priori formal) law-giver of nature, gave rise to the notion of construction. Avoiding the stance of both Platonism and constructivism, an acknowledgement of the ontic status of numbers (in their distinctness and succession), accounted for in terms of the distinction between law and subject, illustrates the influence of an underlying world view.