Combining Texts

All the ideas for 'Abstract Objects: a Case Study', 'Open Society and Its Enemies:Hegel and Marx' and 'Review of Bob Hale's 'Abstract Objects''

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

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7 ideas

1. Philosophy / F. Analytic Philosophy / 4. Conceptual Analysis

9184	We can't presume that all interesting concepts can be analysed [Williamson]

6. Mathematics / C. Sources of Mathematics / 1. Mathematical Platonism / a. For mathematical platonism

9183	Platonism claims that some true assertions have singular terms denoting abstractions, so abstractions exist [Williamson]

6. Mathematics / C. Sources of Mathematics / 6. Logicism / c. Neo-logicism

10580

Mathematics is both necessary and a priori because it really consists of logical truths [Yablo]

6. Mathematics / C. Sources of Mathematics / 9. Fictional Mathematics

10579

Putting numbers in quantifiable position (rather than many quantifiers) makes expression easier [Yablo]

7. Existence / C. Structure of Existence / 7. Abstract/Concrete / a. Abstract/concrete

10577

Concrete objects have few essential properties, but properties of abstractions are mostly essential [Yablo]

10578

We are thought to know concreta a posteriori, and many abstracta a priori [Yablo]

9. Objects / D. Essence of Objects / 15. Against Essentialism

5451	Popper felt that ancient essentialism was a bar to progress [Popper, by Mautner]