EBOOK

Phenomenology, Logic, and the Philosophy of Mathematics


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Juli 2012

Beschreibung

Beschreibung

PLMP is about logic, mathematical knowledge and mathematical objects. It is concerned with the role of reason and intuition in the exact sciences.

Inhaltsverzeichnis

Part I. Reason, Science, and Mathematics: 1. Science as a triumph of the human spirit and science in crisis: Husserl and the Fortunes of Reason; 2. Mathematics and transcendental phenomenology; Part II. Kurt Godel, Phenomenology and the Philosophy of Mathematics: 3. Kurt Godel and phenomenology; 4. Godel's philosophical remarks on mathematics and logic; 5. Godel's path from the incompleteness theorems (1931) to Phenomenology (1961); 6. Godel and the intuition of concepts; 7. Godel and Quine on meaning and mathematics; 8. Maddy on realism in mathematics; 9. Penrose and the view that minds are not machines; Part III. Constructivism, Fulfilled Intentions, and Origins: 10. Intuitionism, meaning theory and cognition; 11. The philosophical background of Weyl's mathematical constructivism; 12. What is a proof?; 13. Phenomenology and mathematical knowledge; 14. Logicism, impredicativity, formalism; 15. The philosophy of arithmetic: Frege and Husserl.
EAN: 9780521837828
ISBN: 0521837820
Untertitel: Sprache: Englisch.
Verlag: CAMBRIDGE UNIV PR
Erscheinungsdatum: Juli 2012
Seitenanzahl: 355 Seiten
Format: gebunden
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