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Defining mathematics
(University of the Free State, 2011)
English: 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 ...
The reformational legacy within political theory
(Faculty of the Humanities, University of the Free State, 2010-09)
Political 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 ...
World view, philosophy, and the teaching of arithmetic
(University of the Free State, 2013)
English: 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 ...