Combining Texts

All the ideas for 'The Evolution of Modern Metaphysics', 'The Theory of Transfinite Numbers' and 'Guidebook to Wittgenstein's Tractatus'

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


11 ideas

1. Philosophy / E. Nature of Metaphysics / 1. Nature of Metaphysics
Metaphysics is the most general attempt to make sense of things [Moore,AW]
1. Philosophy / H. Continental Philosophy / 3. Hermeneutics
Interpreting a text is representing it as making sense [Morris,M]
4. Formal Logic / F. Set Theory ST / 1. Set Theory
A set is a collection into a whole of distinct objects of our intuition or thought [Cantor]
5. Theory of Logic / D. Assumptions for Logic / 1. Bivalence
Bipolarity adds to Bivalence the capacity for both truth values [Morris,M]
5. Theory of Logic / G. Quantification / 1. Quantification
Conjunctive and disjunctive quantifiers are too specific, and are confined to the finite [Morris,M]
6. Mathematics / A. Nature of Mathematics / 4. Using Numbers / c. Counting procedure
Counting needs to distinguish things, and also needs the concept of a successor in a series [Morris,M]
To count, we must distinguish things, and have a series with successors in it [Morris,M]
Discriminating things for counting implies concepts of identity and distinctness [Morris,M]
6. Mathematics / A. Nature of Mathematics / 5. The Infinite / f. Uncountable infinities
Cantor needed Power Set for the reals, but then couldn't count the new collections [Cantor, by Lavine]
11. Knowledge Aims / C. Knowing Reality / 3. Idealism / b. Transcendental idealism
Appearances are nothing beyond representations, which is transcendental ideality [Moore,AW]
19. Language / D. Propositions / 1. Propositions
There must exist a general form of propositions, which are predictabe. It is: such and such is the case [Morris,M]