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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