Combining Texts

All the ideas for 'Abstract Objects: a Case Study', 'Sententia on 'Posterior Analytics'' and 'A Note on the entscheidungsproblem'

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6 ideas

5. Theory of Logic / K. Features of Logics / 7. Decidability

18758

Validity is provable, but invalidity isn't, because the model is infinite [Church, by McGee]

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]

13. Knowledge Criteria / B. Internal Justification / 5. Coherentism / a. Coherence as justification

22109

The fullest knowledge places a conclusion within an accurate theory [Aquinas, by Kretzmann/Stump]