Mathematical Knowledge and the Interplay of Practices /

This book presents a new approach to the epistemology of mathematics by viewing mathematics as a human activity whose knowledge is intimately linked with practice. Charting an exciting new direction in the philosophy of mathematics, José Ferreirós uses the crucial idea of a continuum to provide an a...

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Detalles Bibliográficos
Clasificación:Libro Electrónico
Autor principal: Ferreirós, José (Autor)
Formato: Electrónico eBook
Idioma:Inglés
Publicado: Princeton, NJ : Princeton University Press, [2015]
Edición:Pilot project. eBook available to selected US libraries only
Temas:
Knowledge, Theory of.
Mathematics > Philosophy.
SCIENCE / Philosophy & Social Aspects.
Axiom of Choice.
Axiom of Completeness.
Continuum Hypothesis.
Elements.
Euclidean geometry.
FrameworkЁgent couples.
Georg Cantor.
Greek geometry.
J. H. Lambert.
Kenneth Manders.
Peano Arithmetic.
Philip S. Kitcher.
Riemann Hypothesis.
Sir Isaac Newton.
ZermeloІraenkel axiom system.
advanced mathematics.
agents.
arbitrary infinity.
arbitrary set.
arithmetical knowledge.
axioms.
basic arithmetic.
certainty.
classical arithmetic.
cognition.
complementarity.
complex numbers.
conceptual understanding.
continuum.
counting numbers.
counting practice.
culture.
diagrammatic constructions.
diagrams.
elementary mathematics.
exemplars.
frameworks.
geometrical proof.
historians.
hypotheses.
intuitionistic arithmetic.
logic.
mathematical activity.
mathematical knowledge.
mathematical objects.
mathematical practice.
mathematics.
measuring practices.
metamathematics.
methodological platonism.
natural numbers.
number theory.
objectivity.
ordinal numbers.
philosophers.
postulational mathematics.
practice.
purely arithmetical proof.
real numbers.
scientific practice.
semantic entities.
set theory.
sets.
simple infinity.
symbols.
systematic links.
technical practice.
Acceso en línea:Texto completo
Texto completo
Tabla de Contenidos:
  • Frontmatter
  • Contents
  • List of Illustrations
  • Foreword
  • 1. On Knowledge and Practices
  • 2. The Web of Practices
  • 3. Agents and Frameworks
  • 5. Ancient Greek Mathematics
  • 6. Advanced Math
  • 7. Arithmetic Certainty
  • 8. Mathematics Developed
  • 9. Objectivity in Mathematical Knowledge
  • 10. The Problem of Conceptual Understanding
  • References
  • Index

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