Combining Texts

All the ideas for 'Mathematics without Numbers', 'De Essentia' and 'Modes of Extension: comment on Fine'

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6 ideas

6. Mathematics / B. Foundations for Mathematics / 7. Mathematical Structuralism / c. Nominalist structuralism

8698	Modal structuralism says mathematics studies possible structures, which may or may not be actualised [Hellman, by Friend]

9557	Statements of pure mathematics are elliptical for a sort of modal conditional [Hellman, by Chihara]

10263

Modal structuralism can only judge possibility by 'possible' models [Shapiro on Hellman]

9. Objects / A. Existence of Objects / 5. Individuation / d. Individuation by haecceity

13132

A snowball's haecceity is the property of being identical with itself [Plantinga, by Westerhoff]

18. Thought / E. Abstraction / 7. Abstracta by Equivalence

18883

Any equivalence relation among similar things allows the creation of an abstractum [Simons]

18884

Abstraction is usually seen as producing universals and numbers, but it can do more [Simons]