Combining Texts

All the ideas for 'Tropes', 'Of Liberty and Necessity' and 'Mathematics without Numbers'

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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]
8. Modes of Existence / B. Properties / 13. Tropes / a. Nature of tropes
Individuals consist of 'compresent' tropes [Bacon,John]
A trope is a bit of a property or relation (not an exemplification or a quality) [Bacon,John]
Trope theory is ontologically parsimonious, with possibly only one-category [Bacon,John]
10. Modality / B. Possibility / 5. Contingency
'Contingent' means that the cause is unperceived, not that there is no cause [Hobbes]
10. Modality / E. Possible worlds / 2. Nature of Possible Worlds / a. Nature of possible worlds
Maybe possible worlds are just sets of possible tropes [Bacon,John]