Mathematical Knowledge



Mathematical knowledge is built almost exclusively on the theorem-proof construction.

Role of Formalism

  • Preserves by rigourous codification

  • Supports faithful transmission and communication

  • Consistent with notions of a distinct world of mathematical entities which can be irrefutably known


Implications

  • Suppression of processes of discovery and inspiration

  • Extremely limiting methodological bases

  • Anecdotal denial of role of imagery

  • General resistance to means of visualization



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