Combining Texts

All the ideas for 'Mathematics without Numbers', 'Foundations of Geometry' and 'Giordano Bruno and Hermetic Tradition'

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7 ideas

1. Philosophy / B. History of Ideas / 4. Early European Thought
The magic of Asclepius enters Renaissance thought mixed into Ficino's neo-platonism [Yates]
The dating, in 1614, of the Hermetic writings as post-Christian is the end of the Renaissance [Yates]
5. Theory of Logic / C. Ontology of Logic / 3. If-Thenism
Geometrical axioms imply the propositions, but the former may not be true [Russell]
6. Mathematics / B. Foundations for Mathematics / 3. Axioms for Geometry
Geometry is united by the intuitive axioms of projective geometry [Russell, by Musgrave]
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]