Combining Texts

All the ideas for '03: Book of Leviticus', 'Frege on Apriority (with ps)' and 'Letters to Frege'

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


8 ideas

5. Theory of Logic / L. Paradox / 5. Paradoxes in Set Theory / d. Russell's paradox
Russell's Paradox is a stripped-down version of Cantor's Paradox [Priest,G on Russell]
Russell's paradox means we cannot assume that every property is collectivizing [Potter on Russell]
6. Mathematics / A. Nature of Mathematics / 2. Geometry
The equivalent algebra model of geometry loses some essential spatial meaning [Burge]
6. Mathematics / B. Foundations for Mathematics / 4. Axioms for Number / d. Peano arithmetic
Peano arithmetic requires grasping 0 as a primitive number [Burge]
8. Modes of Existence / B. Properties / 11. Properties as Sets
Russell refuted Frege's principle that there is a set for each property [Russell, by Sorensen]
12. Knowledge Sources / A. A Priori Knowledge / 1. Nature of the A Priori
Is apriority predicated mainly of truths and proofs, or of human cognition? [Burge]
18. Thought / C. Content / 6. Broad Content
We don't assert private thoughts; the objects are part of what we assert [Russell]
22. Metaethics / B. Value / 2. Values / g. Love
Thou shalt love thy neighbour as thyself [Anon (Leviticus)]