Combining Texts

All the ideas for 'Mathematics without Numbers', 'Hymn to Perfect Wisdom' and 'Introduction to 'Properties''

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8 ideas

1. Philosophy / A. Wisdom / 1. Nature of Wisdom

7911	Theory vanishes when one has obtained wisdom [Rahulabhadra]

2. Reason / B. Laws of Thought / 6. Ockham's Razor

4037	Ockham's Razor is the principle that we need reasons to believe in entities [Mellor/Oliver]

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 / B. Properties / 6. Categorical Properties

4027	Properties are respects in which particular objects may be alike or differ [Mellor/Oliver]

8. Modes of Existence / B. Properties / 12. Denial of Properties

4029	Nominalists ask why we should postulate properties at all [Mellor/Oliver]

18. Thought / E. Abstraction / 5. Abstracta by Negation

4039	Abstractions lack causes, effects and spatio-temporal locations [Mellor/Oliver]