Phenomenology, logic, and the philosophy of mathematics / Richard Tieszen.

Format:

Book

Author/Creator:

Tieszen, Richard L., author.

Language:

English

Subjects (All):

Mathematics--Philosophy.

Mathematics.

Phenomenology.

Logic, Symbolic and mathematical.

Constructive mathematics.

Intuitionistic mathematics.

Physical Description:

1 online resource (x, 357 pages) : digital, PDF file(s).

Other Title:

Phenomenology, Logic, & the Philosophy of Mathematics

Place of Publication:

Cambridge : Cambridge University Press, 2005.

Language Note:

English

Summary:

Offering a collection of fifteen essays that deal with issues at the intersection of phenomenology, logic, and the philosophy of mathematics, this 2005 book is divided into three parts. Part I contains a general essay on Husserl's conception of science and logic, an essay of mathematics and transcendental phenomenology, and an essay on phenomenology and modern pure geometry. Part II is focused on Kurt Godel's interest in phenomenology. It explores Godel's ideas and also some work of Quine, Penelope Maddy and Roger Penrose. Part III deals with elementary, constructive areas of mathematics. These are areas of mathematics that are closer to their origins in simple cognitive activities and in everyday experience. This part of the book contains essays on intuitionism, Hermann Weyl, the notion of constructive proof, Poincaré and Frege.

Contents:

Introduction : themes and issues

Pt. 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

3. Free variation and the intuition of geometric essences : some reflections on phenomenology and modern geometry

Pt. II. Kurt Godel, phenomenology, and the philosophy of mathematics

4. Kurt Godel and phenomenology

5. Godel's philosophical remarks on logic and mathematics

6. Godel's path from the incompleteness theorems (1931) to phenomenology (1961)

7. Godel and the intuition of concepts

8. Godel and Quine on meaning and mathematics

9. Maddy on realism in mathematics

10. Penrose on minds and machines

Pt. III. Constructivism, fulfillable intentions, and origins

11. Intuitionism, meaning theory, and cognition

12. philosophical background of Weyl's mathematical constructivism

13. Proofs and fulfillable mathematical intentions

14. Logicism, impredicativity, formalism : some remarks on Poincare and Husserl

15. philosophy of arithmetic : Frege and Husserl.

Notes:

Title from publisher's bibliographic system (viewed on 05 Oct 2015).

Includes bibliographical references (p. 337-348) and index.

ISBN:

1-107-15048-5

1-281-04005-3

9786611040055

1-139-13076-5

0-511-33373-0

0-511-33439-7

0-511-33371-4

0-511-49858-6

0-511-33557-1

OCLC:

761647342