Combining Texts

All the ideas for 'Abstract Objects: a Case Study', 'Positions' and 'Difficulties of Transfinite Numbers and Types'

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8 ideas

1. Philosophy / H. Continental Philosophy / 6. Deconstruction
Deconstruction is not neutral; it intervenes [Derrida]
2. Reason / C. Styles of Reason / 1. Dialectic
I try to analyse certain verbal concepts which block and confuse the dialectical process [Derrida]
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]
6. Mathematics / C. Sources of Mathematics / 10. Constructivism / d. Predicativism
We need rules for deciding which norms are predicative (unless none of them are) [Russell]
'Predicative' norms are those which define a class [Russell]
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]