Combining Texts

All the ideas for 'Mathematics without Numbers', 'Commentary on 'Posterior Analytics' and 'Manuscript remains'

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9 ideas

1. Philosophy / D. Nature of Philosophy / 1. Philosophy
21916 Philosophers can't be religious, and don't need to be; philosophy is perilous but free [Schopenhauer]
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]
18. Thought / E. Abstraction / 8. Abstractionism Critique
9073 Abstraction from an ambiguous concept like 'mole' will define them as the same [Barnes,J]
9074 Abstraction cannot produce the concept of a 'game', as there is no one common feature [Barnes,J]
9072 Defining concepts by abstractions will collect together far too many attributes from entities [Barnes,J]
20. Action / B. Preliminaries of Action / 2. Willed Action / a. Will to Act
21924 As the subject of willing I am wretched, but absorption in knowledge is bliss [Schopenhauer]
22. Metaethics / A. Ethics Foundations / 2. Source of Ethics / b. Rational ethics
21915 To deduce morality from reason is blasphemy, because it is holy, and far above reason [Schopenhauer]