Phenomenology, logic, and the philosophy of mathematics [E-Book] / Richard Tieszen.
Tieszen, Richard L., (author)
Cambridge : Cambridge University Press, 2005
1 online resource (x, 357 pages)
englisch
9780511498589
9780521837828
9780521119986
Full Text
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505 0 0 |t Introduction : themes and issues --  |g Pt. I.  |t Reason, science, and mathematics --  |g 1.  |t Science as a triumph of the human spirit and science in crisis : Husserl and the fortunes of reason --  |g 2.  |t Mathematics and transcendental phenomenology --  |g 3.  |t Free variation and the intuition of geometric essences : some reflections on phenomenology and modern geometry --  |g Pt. II.  |t Kurt Godel, phenomenology, and the philosophy of mathematics --  |g 4.  |t Kurt Godel and phenomenology --  |g 5.  |t Godel's philosophical remarks on logic and mathematics --  |g 6.  |t Godel's path from the incompleteness theorems (1931) to phenomenology (1961) --  |g 7.  |t Godel and the intuition of concepts --  |g 8.  |t Godel and Quine on meaning and mathematics --  |g 9.  |t Maddy on realism in mathematics --  |g 10.  |t Penrose on minds and machines --  |g Pt. III.  |t Constructivism, fulfillable intentions, and origins --  |g 11.  |t Intuitionism, meaning theory, and cognition --  |g 12.  |t philosophical background of Weyl's mathematical constructivism --  |g 13.  |t Proofs and fulfillable mathematical intentions --  |g 14.  |t Logicism, impredicativity, formalism : some remarks on Poincare and Husserl --  |g 15.  |t philosophy of arithmetic : Frege and Husserl. 
520 |a 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. 
650 0 |a Mathematics  |x Philosophy. 
650 0 |a Phenomenology. 
650 0 |a Logic, Symbolic and mathematical. 
650 0 |a Constructive mathematics. 
650 0 |a Intuitionistic mathematics. 
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