Combining Texts

All the ideas for 'Frege's Theory of Numbers', 'Essays on Intellectual Powers 5: Abstraction' and 'Reference and Generality (3rd ed)'

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12 ideas

6. Mathematics / A. Nature of Mathematics / 4. Using Numbers / c. Counting procedure
17447 Parsons says counting is tagging as first, second, third..., and converting the last to a cardinal [Parsons,C, by Heck]
6. Mathematics / A. Nature of Mathematics / 4. Using Numbers / d. Counting via concepts
12154 Are 'word token' and 'word type' different sorts of countable objects, or two ways of counting? [Geach, by Perry]
8. Modes of Existence / D. Universals / 5. Universals as Concepts
23651 Universals are not objects of sense and cannot be imagined - but can be conceived [Reid]
8. Modes of Existence / E. Nominalism / 1. Nominalism / b. Nominalism about universals
23650 Only individuals exist [Reid]
8. Modes of Existence / E. Nominalism / 2. Resemblance Nominalism
23649 No one thinks two sheets possess a single whiteness, but all agree they are both white [Reid]
9. Objects / A. Existence of Objects / 6. Nihilism about Objects
8969 We should abandon absolute identity, confining it to within some category [Geach, by Hawthorne]
9. Objects / F. Identity among Objects / 1. Concept of Identity
11874 Real identity admits of no degrees [Reid]
9. Objects / F. Identity among Objects / 3. Relative Identity
16075 Denial of absolute identity has drastic implications for logic, semantics and set theory [Wasserman on Geach]
12152 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
16073 Leibniz's Law is incomplete, since it includes a non-relativized identity predicate [Geach, by Wasserman]
18. Thought / A. Modes of Thought / 1. Thought
23652 We must first conceive things before we can consider them [Reid]
18. Thought / E. Abstraction / 1. Abstract Thought
23648 First we notice and name attributes ('abstracting'); then we notice that subjects share them ('generalising') [Reid]