Ideas from 'Hilbert's Programme' by Georg Kreisel [1958], by Theme Structure

[found in 'Philosophy of Mathematics: readings (2nd)' (ed/tr Benacerraf/Putnam) [CUP 1983,0-521-29648-x]].

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6. Mathematics / A. Nature of Mathematics / 4. The Infinite / a. The Infinite
Gödel showed that the syntactic approach to the infinite is of limited value
6. Mathematics / B. Foundations for Mathematics / 1. Foundations for Mathematics
The study of mathematical foundations needs new non-mathematical concepts
26. Natural Theory / B. Concepts of Nature / 3. Space / b. Points in space
The natural conception of points ducks the problem of naming or constructing each point