Combining Texts

All the ideas for 'Abstract Objects: a Case Study', 'talk' and 'works'

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7 ideas

5. Theory of Logic / A. Overview of Logic / 3. Value of Logic

10152

Set theory and logic are fairy tales, but still worth studying [Tarski]

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 / E. Nominalism / 1. Nominalism / a. Nominalism

10151

I am a deeply convinced nominalist [Tarski]

9. Objects / C. Structure of Objects / 8. Parts of Objects / a. Parts of objects

8249	Class membership is not transitive, unlike being part of a part of the whole [Lesniewski, by George/Van Evra]