Combining Texts

All the ideas for 'On the Individuation of Attributes', 'Whitehead and the Rise of Modern Logic' and 'Difficulties of Transfinite Numbers and Types'

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


8 ideas

5. Theory of Logic / A. Overview of Logic / 7. Second-Order Logic
Quine says higher-order items are intensional, and lack a clearly defined identity relation [Quine, by Shapiro]
6. Mathematics / C. Sources of Mathematics / 6. Logicism / b. Type theory
Russell confused use and mention, and reduced classes to properties, not to language [Quine, by Lackey]
6. Mathematics / C. Sources of Mathematics / 10. Constructivism / d. Predicativism
We need rules for deciding which norms are predicative (unless none of them are) [Russell]
'Predicative' norms are those which define a class [Russell]
8. Modes of Existence / B. Properties / 12. Denial of Properties
Because things can share attributes, we cannot individuate attributes clearly [Quine]
8. Modes of Existence / E. Nominalism / 5. Class Nominalism
You only know an attribute if you know what things have it [Quine]
9. Objects / A. Existence of Objects / 5. Individuation / a. Individuation
No entity without identity (which requires a principle of individuation) [Quine]
9. Objects / F. Identity among Objects / 6. Identity between Objects
Identity of physical objects is just being coextensive [Quine]