Combining Texts

All the ideas for 'Presidential Address of Am. Math. Soc', 'Reference and Generality (3rd ed)' and 'Events as property exemplifications'

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12 ideas

5. Theory of Logic / A. Overview of Logic / 2. History of Logic
10247 We have no adequate logic at the moment, so mathematicians must create one [Veblen]
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 / B. Change in Existence / 4. Events / c. Reduction of events
10369 How fine-grained Kim's events are depends on how finely properties are individuated [Kim, by Schaffer,J]
8974 Events are composed of an object with an attribute at a time [Kim, by Simons]
8975 Events cannot be merely ordered triples, but must specify the link between the elements [Kim, by Simons]
8976 If events are ordered triples of items, such things seem to be sets, and hence abstract [Simons on Kim]
8977 Since properties like self-identity and being 2+2=4 are timeless, Kim must restrict his properties [Simons on Kim]
8980 Kim's theory results in too many events [Simons on Kim]
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]