Combining Texts

All the ideas for 'Mathematics without Numbers', 'Possible Worlds' and 'Lectures on the Philosophy of (World) History'

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8 ideas

1. Philosophy / D. Nature of Philosophy / 5. Aims of Philosophy / e. Philosophy as reason
If we look at the world rationally, the world assumes a rational aspect [Hegel]
2. Reason / A. Nature of Reason / 1. On Reason
The world seems rational to those who look at it rationally [Hegel]
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]
7. Existence / A. Nature of Existence / 2. Types of Existence
Lewis's distinction of 'existing' from 'being actual' is Meinong's between 'existing' and 'subsisting' [Lycan on Lewis]
10. Modality / E. Possible worlds / 1. Possible Worlds / d. Possible worlds actualism
Lewis can't know possible worlds without first knowing what is possible or impossible [Lycan on Lewis]
What are the ontological grounds for grouping possibilia into worlds? [Lycan on Lewis]