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...

Πλήρης περιγραφή

Λεπτομέρειες βιβλιογραφικής εγγραφής
Συγγραφή απο Οργανισμό/Αρχή: SpringerLink (Online service)
Άλλοι συγγραφείς: Hersh, Reuben (Επιμελητής έκδοσης)
Μορφή: Ηλεκτρονική πηγή Ηλ. βιβλίο
Γλώσσα:English
Έκδοση: New York, NY : Springer New York, 2006.
Θέματα:
Διαθέσιμο Online:Full Text via HEAL-Link
Πίνακας περιεχομένων:
  • 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.