Combining Texts

All the ideas for 'The Logic of Boundaryless Concepts', 'Essays on Intellectual Powers 1: Preliminary' and 'Reference and Generality (3rd ed)'

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11 ideas

5. Theory of Logic / A. Overview of Logic / 3. Value of Logic
Logic guides thinking, but it isn't a substitute for it [Rumfitt]
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 / B. Unity of Objects / 3. Unity Problems / e. Vague objects
Vague membership of sets is possible if the set is defined by its concept, not its members [Rumfitt]
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]
12. Knowledge Sources / E. Direct Knowledge / 1. Common Sense
Many truths seem obvious, and point to universal agreement - which is what we find [Reid]
18. Thought / C. Content / 2. Ideas
Only philosophers treat ideas as objects [Reid]
19. Language / A. Nature of Meaning / 9. Ambiguity
The ambiguity of words impedes the advancement of knowledge [Reid]
26. Natural Theory / C. Causation / 1. Causation
Similar effects come from similar causes, and causes are only what are sufficient for the effects [Reid]