Visualization, Explanation and Reasoning Styles in Mathematics
This book contains groundbreaking contributions to the philosophical analysis of mathematical practice. Several philosophers of mathematics have recently called for an approach to philosophy of mathematics that pays more attention to mathematical practice. Questions concerning concept-formation, und...
| Other Authors: | , , |
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| Format: | eBook |
| Language: | English |
| Published: |
Dordrecht
Springer Netherlands
2005, 2005
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| Edition: | 1st ed. 2005 |
| Series: | Synthese Library, Studies in Epistemology, Logic, Methodology, and Philosophy of Science
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| Subjects: | |
| Online Access: | |
| Collection: | Springer eBooks 2005- - Collection details see MPG.ReNa |
Table of Contents:
- Mathematical Reasoning and Visualization
- Visualization in Logic and Mathematics
- From Symmetry Perception to Basic Geometry
- Naturalism, Pictures, and Platonic Intuitions
- Mathematical Activity
- Mathematical Explanation and Proof Styles
- Tertium Non Datur: On Reasoning Styles in Early Mathematics
- The Interplay Between Proof and Algorithm in 3rd Century China: The Operation as Prescription of Computation and the Operation as Argumento
- Proof Style and Understanding in Mathematics I: Visualization, Unification and Axiom Choice
- The Varieties of Mathematical Explanation
- The Aesthetics of Mathematics: A Study