Combining Texts

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

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8 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]
6. Mathematics / C. Sources of Mathematics / 10. Constructivism / a. Constructivism
Convention, yes! Arbitrary, no! [Poincaré, by Putnam]
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]
19. Language / A. Nature of Meaning / 3. Meaning as Speaker's Intention
Meaning needs an intention to induce a belief, and a recognition that this is the speaker's intention [Grice]
Only the utterer's primary intention is relevant to the meaning [Grice]
We judge linguistic intentions rather as we judge non-linguistic intentions, so they are alike [Grice]