Visualization, Explanation and Reasoning Styles in Mathematics

1. Introduction
P. Mancosu, K.F. Jørgensen, S.A. Pedersen

Part 1. Mathematical Reasoning and Visualization

2. Visualization in Logic and Mathematics
Paolo Mancosu

3. From Symmetry Perception to Basic Geometry
M. Giaquinto

4. Naturalism, Pictures, and Platonic Intuitions
James Robert Brown

5. Mathematical Activity
M. Giaquinto

Part 2. Mathematical Explanation and Proof Styles

6. Tertium Non Datur: On Reasoning Styles in Early Mathematics
Jens Høyrup

7. The Interplay Between Proof and Algorithm in 3rd Century China: The Operation as Prescription of Computation and the Operation as Argumento
Karine Chemla

8. Proof Style and Understanding in Mathematics I: Visualization, Unification and Axiom Choice
Jamie Tappenden

9. The Varieties of Mathematical Explanation
J. Hafner, P. Mancosu

10. The Aesthetics of Mathematics: A Study
Reviel Netz

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Avainsanat: MATHEMATICS / General MAT000000