Combining Texts

All the ideas for 'Mathematics and Indispensibility', 'Anthropological Studies of Classification' and 'Reference and Generality (3rd ed)'

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10 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]
7. Existence / D. Theories of Reality / 11. Ontological Commitment / e. Ontological commitment problems
9558 All scientific tests will verify mathematics, so it is a background, not something being tested [Sober]
7. Existence / E. Categories / 1. Categories
10496 Monothetic categories have fixed defining features, and polythetic categories do not [Ellen]
10497 In symbolic classification, the categories are linked to rules [Ellen]
7. Existence / E. Categories / 5. Category Anti-Realism
10495 Continuous experience sometimes needs imposition of boundaries to create categories [Ellen]
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]
13. Knowledge Criteria / E. Relativism / 4. Cultural relativism
10498 Classification is no longer held to be rooted in social institutions [Ellen]