Combining Texts

All the ideas for 'The Architecture of Mathematics', 'Letters to Leibniz' and 'Modes of Extension: comment on Fine'

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4 ideas

4. Formal Logic / D. Modal Logic ML / 7. Barcan Formula

16519

No one can conceive of a possible substance, apart from those which God has created [Arnauld]

6. Mathematics / B. Foundations for Mathematics / 7. Mathematical Structuralism / a. Structuralism

10190

From the axiomatic point of view, mathematics is a storehouse of abstract structures [Bourbaki]

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]