Combining Texts

All the ideas for 'Abstract Objects: a Case Study', 'The Realm of Matter' and 'talk'

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6 ideas

6. Mathematics / C. Sources of Mathematics / 6. Logicism / c. Neo-logicism
Mathematics is both necessary and a priori because it really consists of logical truths [Yablo]
6. Mathematics / C. Sources of Mathematics / 9. Fictional Mathematics
Putting numbers in quantifiable position (rather than many quantifiers) makes expression easier [Yablo]
7. Existence / A. Nature of Existence / 6. Criterion for Existence
The criterion of existence is the possibility of action [Santayana]
7. Existence / C. Structure of Existence / 7. Abstract/Concrete / a. Abstract/concrete
Concrete objects have few essential properties, but properties of abstractions are mostly essential [Yablo]
We are thought to know concreta a posteriori, and many abstracta a priori [Yablo]
15. Nature of Minds / C. Capacities of Minds / 2. Imagination
Understanding is needed for imagination, just as much as the other way around [Betteridge]