Ideas from 'Abstract Objects: a Case Study' by Stephen Yablo [2002], by Theme Structure

[found in 'Things: Philosophical Papers vol. 2' by Yablo,Stephen [OUP 2010,978-0-19-926649-0]].

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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
6. Mathematics / C. Sources of Mathematics / 9. Fictional Mathematics
Putting numbers in quantifiable position (rather than many quantifiers) makes expression easier
7. Existence / C. Structure of Existence / 7. Abstract/Concrete / a. Abstract/concrete
We are thought to know concreta a posteriori, and many abstracta a priori
Concrete objects have few essential properties, but properties of abstractions are mostly essential