Combining Texts

All the ideas for 'Reply to Fourth Objections', 'Steps Towards a Constructive Nominalism' and 'Hilbert's Programme'

expand these ideas     |    start again     |     specify just one area for these texts

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5 ideas

6. Mathematics / A. Nature of Mathematics / 5. The Infinite / a. The Infinite

17809

Gödel showed that the syntactic approach to the infinite is of limited value [Kreisel]

6. Mathematics / B. Foundations for Mathematics / 1. Foundations for Mathematics

17810

The study of mathematical foundations needs new non-mathematical concepts [Kreisel]

8. Modes of Existence / E. Nominalism / 1. Nominalism / c. Nominalism about abstracta

17619

We renounce all abstract entities [Goodman/Quine]

17. Mind and Body / E. Mind as Physical / 6. Conceptual Dualism

3643	The concept of mind excludes body, and vice versa [Descartes]

27. Natural Reality / C. Space / 3. Points in Space

17811

The natural conception of points ducks the problem of naming or constructing each point [Kreisel]