Combining Texts

All the ideas for 'Inexpressible Properties and Propositions', 'An Axiomatization of Set Theory' and 'Belief Truth and Knowledge'

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8 ideas

3. Truth / H. Deflationary Truth / 3. Minimalist Truth
Instances of minimal truth miss out propositions inexpressible in current English [Hofweber]
4. Formal Logic / F. Set Theory ST / 5. Conceptions of Set / f. Limitation of Size
Limitation of Size is not self-evident, and seems too strong [Lavine on Neumann]
5. Theory of Logic / G. Quantification / 4. Substitutional Quantification
Quantification can't all be substitutional; some reference is obviously to objects [Hofweber]
6. Mathematics / B. Foundations for Mathematics / 6. Mathematics as Set Theory / a. Mathematics is set theory
All the axioms for mathematics presuppose set theory [Neumann]
8. Modes of Existence / B. Properties / 1. Nature of Properties
Since properties have properties, there can be a typed or a type-free theory of them [Hofweber]
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 / 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 / F. Communication / 6. Interpreting Language / a. Translation
Holism says language can't be translated; the expressibility hypothesis says everything can [Hofweber]