Produktbild: Thinking about Mathematics

Thinking about Mathematics The Philosophy of Mathematics

Fr. 78.90

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Beschreibung

Produktdetails

Einband

Taschenbuch

Erscheinungsdatum

13.07.2000

Abbildungen

4 line figures

Verlag

Oxford Academic

Seitenzahl

328

Maße (L/B/H)

21.6/13.8/2.5 cm

Gewicht

417 g

Sprache

Englisch

ISBN

978-0-19-289306-2

Beschreibung

Produktdetails

Einband

Taschenbuch

Erscheinungsdatum

13.07.2000

Abbildungen

4 line figures

Verlag

Oxford Academic

Seitenzahl

328

Maße (L/B/H)

21.6/13.8/2.5 cm

Gewicht

417 g

Sprache

Englisch

ISBN

978-0-19-289306-2

Herstelleradresse

Libri GmbH
Europaallee 1
36244 Bad Hersfeld
DE

Email: gpsr@libri.de

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  • Produktbild: Thinking about Mathematics
    • Part I. Perspective
    • Chapter 1. What is so interesting about mathematics (for philosopher)?
    • Attraction - of opposites?
    • Philosophy and mathematics: chicken or egg?
    • Naturalism and mathematics
    • Chapter 2. A Potpourri of questions and attempted answers
    • Necessity and a priori knowledge
    • Global matters: objects and objectivity
    • The mathematical and the physical
    • Local maters: theorems, theories, and concepts
    • Part II. History
    • Chapter 3. Plato's Rationalism, and Aristotle
    • The world of Being
    • Plato on mathematics
    • Mathematics on Plato
    • Aristotle, the worthy opponent
    • Further reading
    • Chapter 4. Near opposites: Kant and Mill
    • Reorientation
    • Kant
    • Mill
    • Further reading
    • Part III. The big three
    • Chapter 5. Logicism: Is mathematics (just) logic?
    • Frege
    • Russell
    • Carnap and logical positivism
    • Contemporary views
    • Further reading
    • Chapter 6. Formalism: Do mathematical statements mean anything?
    • Basic views: Freg's onslaught
    • Deductivism: Hilbert's Grundlagen der Geometrie
    • Finitism: the Hilbert program
    • Incompleteness
    • Curry
    • Further reading
    • Chapter 7. Intuitionism: is something wrong with our logic?
    • 1. Revising classical logic
    • 2. The teacher, Brouwer
    • 3. The student, Heyting
    • 4. Dummett
    • 5. Further reading
    • Part IV. The contemporary scene
    • Chapter 8. Numbers exist
    • Gödel
    • The web of belief
    • Set-theoretic realism
    • Further reading
    • Chapter 9. No they don't
    • Fictionalism
    • Modal construction
    • What should we make of all this?
    • Addendum: Young Turks
    • Further reading
    • Chapter 10. Structuralism
    • The underlying idea
    • Ante rem structures, and objects
    • Structuralism without structures
    • Knowledge of structures
    • Further reading
    • References
    • Index