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(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 ...
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 ...