Wittgenstein on mathematics, minds, and mental machines /

Bibliographic Details
Main Author:	Gefwert, Christoffer, 1947-
Format:	Book
Language:	English
Published:	Aldershot, Hants, England ; Brookfield, Vt. : Ashgate, ©1998.
Series:	Avebury series in philosophy.
Subjects:	Wittgenstein, Ludwig, > 1889-1951. Wittgenstein, Ludwig, > 1889-1951 Wiskunde. Philosophie et mathématiques. Métamathématique.

Table of Contents:

pt. I. The Universal 'Game' of Mathematics. I.1. The Early Years. From Schopenhauer to Boltzmann. The Logicist Research Programme. An Alternative Account. The 'Theory of Symbolism'. Logic is Transcendental. The Metaphysical Subject. I.2. The Early Calculus Conception. Operations in Mathematics. The Structure of Mathematics. Wittgenstein on Inference. Mathematical Calculations. The Limit of Mathematical Language. Tautologies: A Misunderstanding. I.3. The Idealistic Intuitionism. Intuitionism and Philosophy. Constructive Mathematics. Brouwer's Vienna Lecture. Brouwer and Wittgenstein: Similarities. Wittgenstein: The Impact of Brouwer
pt. II. Conceptual Problems in Calculations. II. 1. The Later Calculus Conception. Mathematics as Calculations. Surveyability of Calculations. The Law of the Excluded Middle. Calculation and Experiment. Calculation and Conventionalism. Calculation and Prose. II. 2. The 'Foundations' of Mathematics. The Meta-Mathematical Illusion.