Combining Texts

All the ideas for 'Frege's Theory of Numbers', 'Abstract Objects: a Case Study' and 'Epistemology Externalized'

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8 ideas

6. Mathematics / A. Nature of Mathematics / 4. Using Numbers / c. Counting procedure
Parsons says counting is tagging as first, second, third..., and converting the last to a cardinal [Parsons,C, by Heck]
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]
18. Thought / C. Content / 6. Broad Content
It is widely supposed that externalism cannot be reconciled with first-person authority [Davidson]
It is hard to interpret a speaker's actions if we take a broad view of the content [Davidson]
26. Natural Theory / B. Natural Kinds / 5. Reference to Natural Kinds
The cause of a usage determines meaning, but why is the microstructure of water relevant? [Davidson]