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
1 online resource (xi, 447 pages) : illustrations
9780191559099, 9781281718051, 9780191711961, 9780199640102, 9786611718053, 0191559091, 128171805X, 0191711969, 0199640106, 6611718052
269625721
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
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