Combining Texts

All the ideas for 'Abstract Objects: a Case Study', 'Second Commentary on 'Isagoge'' and 'The Scientific Image'

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7 ideas

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]
8. Modes of Existence / D. Universals / 5. Universals as Concepts
15035 If universals are not separate, we can isolate them by abstraction [Boethius, by Panaccio]
10. Modality / B. Possibility / 7. Chance
23900 Chance is compatible with necessity, and the two occur together [Weil]
21. Aesthetics / A. Aesthetic Experience / 4. Beauty
23899 The secret of art is that beauty is a just blend of unity and its opposite [Weil]