18 Unconventional Essays on the Nature of Mathematics
Advance praise for 18 Unconventional Essays on the Nature of Mathematics: "I was pleasantly surprised to find that this book does not treat mathematics as dessicated formal logic but as a living organism, immediately recognizable to any working mathematician." - Sir Michael Atiyah, Univers...
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| Format: | eBook |
| Language: | English |
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New York, NY
Springer New York
2006, 2006
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| Edition: | 1st ed. 2006 |
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| Collection: | Springer eBooks 2005- - Collection details see MPG.ReNa |
Table of Contents:
- A Socratic Dialogue on Mathematics
- “Introduction” to Filosofia e matematica
- On Proof and Progress in Mathematics
- The Informal Logic of Mathematical Proof
- Philosophical Problems of Mathematics in the Light of Evolutionary Epistemology
- Towards a Semiotics of Mathematics
- Computers and the Sociology of Mathematical Proof
- From G.H.H. and Littlewood to XML and Maple: Changing Needs and Expectations in Mathematical Knowledge Management
- Do Real Numbers Really Move? Language, Thought, and Gesture: The Embodied Cognitive Foundations of Mathematics
- Does Mathematics Need a Philosophy?
- How and Why Mathematics Is Unique as a Social Practice
- The Pernicious Influence of Mathematics upon Philosophy
- The Pernicious Influence of Mathematics on Science
- What Is Philosophy of Mathematics Looking for?
- Concepts and the Mangle of Practice Constructing Quaternions
- Mathematics as Objective Knowledge and as Human Practice
- The Locus of Mathematical Reality: An Anthropological Footnote
- Inner Vision, Outer Truth