Combining Texts

All the ideas for 'Philosophical Grammar', 'Reference and Generality (3rd ed)' and 'Fragments on My Philosophical Development'

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8 ideas

6. Mathematics / A. Nature of Mathematics / 1. Mathematics
In mathematics everything is algorithm and nothing is meaning [Wittgenstein]
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]
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]
21. Aesthetics / A. Aesthetic Experience / 2. Aesthetic Attitude
Consider: "Imagine this butterfly exactly as it is, but ugly instead of beautiful" [Wittgenstein]
23. Ethics / C. Virtue Theory / 2. Elements of Virtue Theory / i. Absolute virtues
Egoism is the only evil, love the only good; genuine love produces all the other virtues [Feuerbach]