Combining Texts

All the ideas for 'Abstract Objects:intro to Axiomatic Metaphysics', 'Statements about Universals' and 'Reference and Generality (3rd ed)'

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9 ideas

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 / 4. Uninstantiated Universals
8499 Nominalists cannot translate 'red resembles pink more than blue' into particulars [Jackson]
8. Modes of Existence / E. Nominalism / 2. Resemblance Nominalism
8500 Colour resemblance isn't just resemblance between things; 'colour' must be mentioned [Jackson]
9. Objects / A. Existence of Objects / 2. Abstract Objects / a. Nature of abstracta
10414 Abstract objects are constituted by encoded collections of properties [Zalta, by Swoyer]
9. Objects / A. Existence of Objects / 2. Abstract Objects / c. Modern abstracta
10415 Properties make round squares and round triangles distinct, unlike exemplification [Zalta, by Swoyer]
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 / 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]