The philosophy of mathematical practice /
This title offers philosophical analyses of important characteristics of contemporary mathematics and of many aspects of mathematical activity which escape purely formal logical treatment.
Clasificación: | Libro Electrónico |
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Autor principal: | |
Formato: | Electrónico eBook |
Idioma: | Inglés |
Publicado: |
Oxford ; New York :
Oxford University Press,
2008.
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Temas: | |
Acceso en línea: | Texto completo |
Tabla de Contenidos:
- Visualizing in mathematics
- Cognition of structure
- Diagram-based geometric practice
- The Euclidean Diagram (1995)
- Mathematical explanation : why it matters
- Beyond unification
- Purity as an ideal of proof
- Reflection on the purity of method in Hilbert's Grundlagen der Geometrie
- Mathematical concepts and definitions
- Mathematical concepts : fruitfulness and naturalness
- Computers in mathematical inquiry
- Understanding proofs
- What structuralism achieves
- 'There is no ontology here' : visual and structural geometry in arithmetic
- The boundary between mathematics and physics
- mathematics and physics : strategies of assimilation.