Combining Texts

All the ideas for 'Ethics without Principles', 'Mathematics without Numbers' and 'Foundations of Geometry'

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6 ideas

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]
22. Metaethics / B. Value / 1. Nature of Value / a. Nature of value
The base for values has grounds, catalysts and intensifiers [Dancy,J, by Orsi]