Combining Texts

All the ideas for 'Mathematics without Numbers', 'Deflationary Metaontology of Thomasson' and 'The Logical Form of Action Sentences'

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8 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 / a. Nature of events
We need 'events' to explain adverbs, which are adjectival predicates of events [Davidson, by Lycan]
Language-learning is not good enough evidence for the existence of events [Yablo on Davidson]
7. Existence / D. Theories of Reality / 11. Ontological Commitment / d. Commitment of theories
If the best theory of adverbs refers to events, then our ontology should include events [Davidson, by Sider]
9. Objects / A. Existence of Objects / 5. Individuation / e. Individuation by kind
No sortal could ever exactly pin down which set of particles count as this 'cup' [Schaffer,J]
9. Objects / F. Identity among Objects / 6. Identity between Objects
Identities can be true despite indeterminate reference, if true under all interpretations [Schaffer,J]