Combining Texts

All the ideas for 'Mathematics without Numbers', 'Events as property exemplifications' and 'The Problem of Counterfactual Conditionals'

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10 ideas

6. Mathematics / B. Foundations for Mathematics / 7. Mathematical Structuralism / c. Nominalist structuralism
Modal structuralism says mathematics studies possible structures, which may or may not be actualised [Hellman, by Friend]
Statements of pure mathematics are elliptical for a sort of modal conditional [Hellman, by Chihara]
Modal structuralism can only judge possibility by 'possible' models [Shapiro on Hellman]
7. Existence / B. Change in Existence / 4. Events / c. Reduction of events
How fine-grained Kim's events are depends on how finely properties are individuated [Kim, by Schaffer,J]
If events are ordered triples of items, such things seem to be sets, and hence abstract [Simons on Kim]
Events cannot be merely ordered triples, but must specify the link between the elements [Kim, by Simons]
Events are composed of an object with an attribute at a time [Kim, by Simons]
Since properties like self-identity and being 2+2=4 are timeless, Kim must restrict his properties [Simons on Kim]
Kim's theory results in too many events [Simons on Kim]
10. Modality / B. Possibility / 9. Counterfactuals
Counterfactuals are true if logical or natural laws imply the consequence [Goodman, by McFetridge]