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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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Detalles Bibliográficos
Clasificación:Libro Electrónico
Autor Corporativo: SpringerLink (Online service)
Otros Autores: Hersh, Reuben (Editor )
Formato: Electrónico eBook
Idioma:Inglés
Publicado: New York, NY : Springer New York : Imprint: Springer, 2006.
Edición:1st ed. 2006.
Temas:
Acceso en línea:Texto Completo
Tabla de Contenidos:
  • 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.