Combining Texts

All the ideas for 'fragments/reports', 'On the Question of Absolute Undecidability' and 'A Version of Internalist Foundationalism'

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18 ideas

2. Reason / A. Nature of Reason / 6. Coherence
For any given area, there seem to be a huge number of possible coherent systems of beliefs [Bonjour]
4. Formal Logic / F. Set Theory ST / 1. Set Theory
Mathematical set theory has many plausible stopping points, such as finitism, and predicativism [Koellner]
'Reflection principles' say the whole truth about sets can't be captured [Koellner]
5. Theory of Logic / K. Features of Logics / 5. Incompleteness
We have no argument to show a statement is absolutely undecidable [Koellner]
6. Mathematics / A. Nature of Mathematics / 5. The Infinite / i. Cardinal infinity
There are at least eleven types of large cardinal, of increasing logical strength [Koellner]
6. Mathematics / B. Foundations for Mathematics / 4. Axioms for Number / d. Peano arithmetic
PA is consistent as far as we can accept, and we expand axioms to overcome limitations [Koellner]
6. Mathematics / B. Foundations for Mathematics / 4. Axioms for Number / g. Incompleteness of Arithmetic
Arithmetical undecidability is always settled at the next stage up [Koellner]
11. Knowledge Aims / A. Knowledge / 1. Knowledge
The concept of knowledge is so confused that it is best avoided [Bonjour]
12. Knowledge Sources / A. A Priori Knowledge / 2. Self-Evidence
It is hard to give the concept of 'self-evident' a clear and defensible characterization [Bonjour]
12. Knowledge Sources / B. Perception / 8. Adverbial Theory
The adverbial account will still be needed when a mind apprehends its sense-data [Bonjour]
13. Knowledge Criteria / B. Internal Justification / 4. Foundationalism / b. Basic beliefs
Conscious states have built-in awareness of content, so we know if a conceptual description of it is correct [Bonjour]
13. Knowledge Criteria / B. Internal Justification / 5. Coherentism / c. Coherentism critique
My incoherent beliefs about art should not undermine my very coherent beliefs about physics [Bonjour]
Coherence seems to justify empirical beliefs about externals when there is no external input [Bonjour]
Coherentists must give a reason why coherent justification is likely to lead to the truth [Bonjour]
13. Knowledge Criteria / C. External Justification / 3. Reliabilism / a. Reliable knowledge
Reliabilists disagree over whether some further requirement is needed to produce knowledge [Bonjour]
13. Knowledge Criteria / C. External Justification / 3. Reliabilism / b. Anti-reliabilism
If the reliable facts producing a belief are unknown to me, my belief is not rational or responsible [Bonjour]
15. Nature of Minds / B. Features of Minds / 1. Consciousness / f. Higher-order thought
If neither the first-level nor the second-level is itself conscious, there seems to be no consciousness present [Bonjour]
21. Aesthetics / C. Artistic Issues / 7. Art and Morality
Musical performance can reveal a range of virtues [Damon of Ath.]