Combining Texts

All the ideas for 'Conceptions of Truth', 'Remarks on axiomatised set theory' and 'Beyond internal Foundations to external Virtues'

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15 ideas

2. Reason / A. Nature of Reason / 6. Coherence
We can't attain a coherent system by lopping off any beliefs that won't fit [Sosa]
2. Reason / D. Definition / 12. Paraphrase
The idea of 'making' can be mere conceptual explanation (like 'because') [Künne]
4. Formal Logic / F. Set Theory ST / 4. Axioms for Sets / a. Axioms for sets
Axiomatising set theory makes it all relative [Skolem]
5. Theory of Logic / J. Model Theory in Logic / 3. Löwenheim-Skolem Theorems
If a 1st-order proposition is satisfied, it is satisfied in a denumerably infinite domain [Skolem]
6. Mathematics / B. Foundations for Mathematics / 1. Foundations for Mathematics
Integers and induction are clear as foundations, but set-theory axioms certainly aren't [Skolem]
6. Mathematics / C. Sources of Mathematics / 1. Mathematical Platonism / b. Against mathematical platonism
Mathematician want performable operations, not propositions about objects [Skolem]
6. Mathematics / C. Sources of Mathematics / 4. Mathematical Empiricism / c. Against mathematical empiricism
The phenomenal concept of an eleven-dot pattern does not include the concept of eleven [Sosa]
11. Knowledge Aims / A. Knowledge / 1. Knowledge
It is acceptable to say a supermarket door 'knows' someone is approaching [Sosa]
12. Knowledge Sources / C. Rationalism / 1. Rationalism
In reducing arithmetic to self-evident logic, logicism is in sympathy with rationalism [Sosa]
12. Knowledge Sources / D. Empiricism / 5. Empiricism Critique
Most of our knowledge has insufficient sensory support [Sosa]
13. Knowledge Criteria / B. Internal Justification / 4. Foundationalism / c. Empirical foundations
Perception may involve thin indexical concepts, or thicker perceptual concepts [Sosa]
Do beliefs only become foundationally justified if we fully attend to features of our experience? [Sosa]
13. Knowledge Criteria / B. Internal Justification / 4. Foundationalism / d. Rational foundations
Some features of a thought are known directly, but others must be inferred [Sosa]
13. Knowledge Criteria / B. Internal Justification / 4. Foundationalism / e. Pro-foundations
Much propositional knowledge cannot be formulated, as in recognising a face [Sosa]
13. Knowledge Criteria / B. Internal Justification / 5. Coherentism / c. Coherentism critique
Fully comprehensive beliefs may not be knowledge [Sosa]