Combining Texts

All the ideas for 'On Providence', 'works' and 'Reference and Generality (3rd ed)'

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


10 ideas

6. Mathematics / A. Nature of Mathematics / 4. Using Numbers / d. Counting via concepts
Are 'word token' and 'word type' different sorts of countable objects, or two ways of counting? [Geach, by Perry]
6. Mathematics / B. Foundations for Mathematics / 4. Axioms for Number / a. Axioms for numbers
Numbers have been defined in terms of 'successors' to the concept of 'zero' [Peano, by Blackburn]
6. Mathematics / B. Foundations for Mathematics / 4. Axioms for Number / d. Peano arithmetic
0 is a non-successor number, all successors are numbers, successors can't duplicate, if P(n) and P(n+1) then P(all-n) [Peano, by Flew]
9. Objects / A. Existence of Objects / 6. Nihilism about Objects
We should abandon absolute identity, confining it to within some category [Geach, by Hawthorne]
9. Objects / F. Identity among Objects / 3. Relative Identity
Denial of absolute identity has drastic implications for logic, semantics and set theory [Wasserman on Geach]
Identity is relative. One must not say things are 'the same', but 'the same A as' [Geach]
9. Objects / F. Identity among Objects / 8. Leibniz's Law
Leibniz's Law is incomplete, since it includes a non-relativized identity predicate [Geach, by Wasserman]
22. Metaethics / C. The Good / 2. Happiness / a. Nature of happiness
To be always happy is to lack knowledge of one half of nature [Seneca]
23. Ethics / C. Virtue Theory / 4. External Goods / a. External goods
Nothing bad can happen to a good man [Seneca]
27. Natural Reality / A. Classical Physics / 1. Mechanics / c. Forces
The ocean changes in volume in proportion to the attraction of the moon [Seneca]