Combining Texts

All the ideas for 'Mind and Its Place in Nature', 'Philosophy and Scientific Image of Man' and 'works'

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


6 ideas

1. Philosophy / D. Nature of Philosophy / 5. Aims of Philosophy / c. Philosophy as generalisation
Philosophy aims to understand how things (broadly understood) hang together (broadly understood) [Sellars]
4. Formal Logic / F. Set Theory ST / 4. Axioms for Sets / a. Axioms for sets
Von Neumann defines each number as the set of all smaller numbers [Neumann, by Blackburn]
4. Formal Logic / F. Set Theory ST / 8. Critique of Set Theory
Von Neumann wanted mathematical functions to replace sets [Neumann, by Benardete,JA]
6. Mathematics / A. Nature of Mathematics / 3. Nature of Numbers / e. Ordinal numbers
Von Neumann defined ordinals as the set of all smaller ordinals [Neumann, by Poundstone]
7. Existence / C. Structure of Existence / 2. Reduction
Reduction requires that an object's properties consist of its constituents' properties and relations [Sellars]
12. Knowledge Sources / B. Perception / 6. Inference in Perception
Broad rejects the inferential component of the representative theory [Broad, by Maund]