Combining Texts

All the ideas for 'Abstract Objects: a Case Study', 'Belief Truth and Knowledge' and 'What is Knowledge-First Epistemology?'

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9 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]
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]
12. Knowledge Sources / B. Perception / 7. Causal Perception
Maybe experience is not essential to perception, but only to the causing of beliefs [Armstrong, by Scruton]
13. Knowledge Criteria / A. Justification Problems / 1. Justification / a. Justification issues
Don't confuse justified belief with justified believers [Dougherty/Rysiew]
13. Knowledge Criteria / A. Justification Problems / 1. Justification / b. Need for justification
If knowledge is unanalysable, that makes justification more important [Dougherty/Rysiew]
13. Knowledge Criteria / C. External Justification / 1. External Justification
Externalism says knowledge involves a natural relation between the belief state and what makes it true [Armstrong]
19. Language / C. Assigning Meanings / 2. Semantics
Entailment is modelled in formal semantics as set inclusion (where 'mammals' contains 'cats') [Dougherty/Rysiew]