• Login
    View Item 
    •   KovsieScholar Home
    • KovsieJournals
    • Acta Academica
    • AA 2013 Volume 45 Issue 1
    • View Item
    •   KovsieScholar Home
    • KovsieJournals
    • Acta Academica
    • AA 2013 Volume 45 Issue 1
    • View Item
    JavaScript is disabled for your browser. Some features of this site may not work without it.

    World view, philosophy, and the teaching of arithmetic

    Thumbnail
    View/Open
    academ_v45_n1_a2.pdf (204.3Kb)
    Date
    2013
    Author
    Strauss, Danie
    Metadata
    Show full item record
    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.
     
    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.
     
    URI
    http://hdl.handle.net/11660/2889
    Collections
    • AA 2013 Volume 45 Issue 1
    • Research Articles (Philosophy)

    DSpace software copyright © 2002-2016  DuraSpace
    Contact Us | Send Feedback
     

     

    Browse

    All of KovsieScholarCommunities & CollectionsBy Issue DateAuthorsTitlesSubjectsThis CollectionBy Issue DateAuthorsTitlesSubjects

    My Account

    LoginRegister

    Statistics

    View Usage Statistics

    DSpace software copyright © 2002-2016  DuraSpace
    Contact Us | Send Feedback