Combining Texts

All the ideas for 'Abstract Objects: a Case Study', 'Go Figure: a Path through Fictionalism' and 'Infinitism solution to regress problem'

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10 ideas

2. Reason / A. Nature of Reason / 6. Coherence
Why should we prefer coherent beliefs? [Klein,P]
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]
7. Existence / D. Theories of Reality / 7. Fictionalism
Fictionalism allows that simulated beliefs may be tracking real facts [Yablo]
10. Modality / E. Possible worlds / 2. Nature of Possible Worlds / b. Worlds as fictions
Governing possible worlds theory is the fiction that if something is possible, it happens in a world [Yablo]
13. Knowledge Criteria / A. Justification Problems / 2. Justification Challenges / a. Agrippa's trilemma
Infinitism avoids a regress, circularity or arbitrariness, by saying warrant just increases [Klein,P]
13. Knowledge Criteria / B. Internal Justification / 4. Foundationalism / e. Pro-foundations
If justification is endless, no link in the chain is ultimately justified [Ginet on Klein,P]
13. Knowledge Criteria / B. Internal Justification / 5. Coherentism / a. Coherence as justification
Reasons acquire warrant through being part of a lengthening series [Klein,P]