Combining Texts

All the ideas for 'Philosophical Explanations', 'In Metaphysics' and 'Letters to Russell'

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


7 ideas

6. Mathematics / A. Nature of Mathematics / 3. Nature of Numbers / g. Real numbers
I wish to go straight from cardinals to reals (as ratios), leaving out the rationals [Frege]
6. Mathematics / C. Sources of Mathematics / 6. Logicism / a. Early logicism
The loss of my Rule V seems to make foundations for arithmetic impossible [Frege]
7. Existence / A. Nature of Existence / 6. Criterion for Existence
Are things distinct if they are both separate, or if only one of them can be separate? [Duns Scotus, by Pasnau]
9. Objects / A. Existence of Objects / 2. Abstract Objects / c. Modern abstracta
Logical objects are extensions of concepts, or ranges of values of functions [Frege]
9. Objects / B. Unity of Objects / 2. Substance / a. Substance
Substance is only grasped under the general heading of 'being' [Duns Scotus]
11. Knowledge Aims / A. Knowledge / 4. Belief / c. Aim of beliefs
Maybe knowledge is belief which 'tracks' the truth [Nozick, by Williams,M]
13. Knowledge Criteria / C. External Justification / 4. Tracking the Facts
A true belief isn't knowledge if it would be believed even if false. It should 'track the truth' [Nozick, by Dancy,J]