Combining Texts

All the ideas for 'Abstract Objects: a Case Study', 'Predest.,God's foreknowledge and contingents' and 'There are no ordinary things'

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7 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 / 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]
7. Existence / D. Theories of Reality / 10. Vagueness / d. Vagueness as linguistic
Vague predicates lack application; there are no borderline cases; vague F is not F [Unger, by Keefe/Smith]
7. Existence / E. Categories / 5. Category Anti-Realism
Our words and concepts don't always correspond to what is out there [William of Ockham]
9. Objects / A. Existence of Objects / 5. Simples
There are no objects with proper parts; there are only mereological simples [Unger, by Wasserman]