World view, philosophy, and the teaching of arithmetic

Authors

  • Danie Strauss University of the Free State

DOI:

https://doi.org/10.38140/aa.v45i1.1388

Abstract

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.

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Published

2013-01-31

How to Cite

Strauss, D. (2013). World view, philosophy, and the teaching of arithmetic. Acta Academica: Critical Views on Society, Culture and Politics, 45(1), 26–57. https://doi.org/10.38140/aa.v45i1.1388

Issue

Section

Articles