World view, philosophy, and the teaching of arithmetic
| dc.contributor.author | Strauss, Danie | |
| dc.date.accessioned | 2016-06-14T11:56:55Z | |
| dc.date.available | 2016-06-14T11:56:55Z | |
| dc.date.issued | 2013 | |
| dc.description.abstract | 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 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. | en_ZA |
| dc.description.abstract | Afrikaans: Dilthey se klem op die relatiwiteit van wêreldbeskouings het Spengler geïnspireer om van verskillende getalle-wêrelde te praat. Nogtans het daar binne die Griekse kultuur ’n verskuiwing van aritmetisisme na ’n geometrisering by die wiskunde ingetree. Sedert die Renaissance het die ideaal van die soewereine menslike denke, wat die menslike verstand as die (a priori formele) wetgewer van die natuur waardeer het, aanleiding tot die idee van konstruksie gegee. Wanneer beide die Platonisme en konstruksionisme vermy word, deur die erkenning van die ontiese status van getalle (in hul onderskeidenheid en suksessie), kan rekenskap gegee word van die onderskeiding tussen wet en subjek, wat die invloed van ’n onderliggende wêreldbeskouing illustreer. | af |
| dc.description.version | Publisher's version | en_ZA |
| dc.identifier.citation | Strauss, D. (2013). World view, philosophy, and the teaching of arithmetic. Acta Academica, 45(1), 26-57. | en_ZA |
| dc.identifier.issn | 0587-2405 (print) | |
| dc.identifier.issn | 2415-0479 (online) | |
| dc.identifier.uri | http://hdl.handle.net/11660/2889 | |
| dc.language.iso | en | en_ZA |
| dc.publisher | University of the Free State | en_ZA |
| dc.rights.holder | University of the Free State | en_ZA |
| dc.subject | Mathematics | en_ZA |
| dc.subject | Arithmetics | en_ZA |
| dc.title | World view, philosophy, and the teaching of arithmetic | en_ZA |
| dc.type | Article | en_ZA |