Combining Texts

All the ideas for 'fragments/reports', 'On the Question of Absolute Undecidability' and 'Perception'

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15 ideas

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 / 6. Knowing How
Ryle's dichotomy between knowing how and knowing that is too simplistic [Maund]
12. Knowledge Sources / B. Perception / 1. Perception
Perception is sensation-then-concept, or direct-concepts, or sensation-saturated-in-concepts [Maund]
12. Knowledge Sources / B. Perception / 4. Sense Data / a. Sense-data theory
Sense-data have an epistemological purpose (foundations) and a metaphysical purpose (explanation) [Maund]
12. Knowledge Sources / B. Perception / 6. Inference in Perception
One thesis says we are not aware of qualia, but only of objects and their qualities [Maund]
The Myth of the Given claims that thought is rationally supported by non-conceptual experiences [Maund]
12. Knowledge Sources / B. Perception / 8. Adverbial Theory
Mountains are adverbial modifications of the earth, but still have object-characteristics [Maund]
Adverbialism tries to avoid sense-data and preserve direct realism [Maund]
18. Thought / C. Content / 1. Content
Thought content is either satisfaction conditions, or exercise of concepts [Maund, by PG]
21. Aesthetics / C. Artistic Issues / 7. Art and Morality
Musical performance can reveal a range of virtues [Damon of Ath.]