Combining Texts

All the ideas for 'Foundations of Geometry', 'Events as property exemplifications' and 'Wittgenstein's 'Philosophical Investigations''

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11 ideas

6. Mathematics / A. Nature of Mathematics / 2. Geometry
13472 Hilbert aimed to eliminate number from geometry [Hilbert, by Hart,WD]
6. Mathematics / B. Foundations for Mathematics / 3. Axioms for Geometry
9546 Euclid axioms concerns possibilities of construction, but Hilbert's assert the existence of objects [Hilbert, by Chihara]
18742 Hilbert's formalisation revealed implicit congruence axioms in Euclid [Hilbert, by Horsten/Pettigrew]
18217 Hilbert's geometry is interesting because it captures Euclid without using real numbers [Hilbert, by Field,H]
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]
8976 If events are ordered triples of items, such things seem to be sets, and hence abstract [Simons on Kim]
8975 Events cannot be merely ordered triples, but must specify the link between the elements [Kim, by Simons]
8974 Events are composed of an object with an attribute at a time [Kim, by Simons]
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]
15. Nature of Minds / A. Nature of Mind / 4. Other Minds / d. Other minds by analogy
14644 If my conception of pain derives from me, it is a contradiction to speak of another's pain [Malcolm]