Combining Texts

All the ideas for 'Lectures on the History of Philosophy', 'Mathematics without Numbers' and 'The Foundations of Mathematics (2nd ed)'

expand these ideas     |    start again     |     specify just one area for these texts

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5 ideas

1. Philosophy / D. Nature of Philosophy / 3. Philosophy Defined

21757

Philosophy is the conceptual essence of the shape of history [Hegel]

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]

8. Modes of Existence / A. Relations / 4. Formal Relations / b. Equivalence relation

18465

An 'equivalence' relation is one which is reflexive, symmetric and transitive [Kunen]