Combining Texts

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

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14 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]
13. Knowledge Criteria / A. Justification Problems / 2. Justification Challenges / c. Knowledge closure
Sphaerus he was not assenting to the presence of pomegranates, but that it was 'reasonable' [Sphaerus, by Diog. Laertius]
15. Nature of Minds / A. Nature of Mind / 8. Brain
The cerbellum has a huge number of neurons, but little involvement in consciousness [Seth]
Single neurons can carry out complex functions [Seth]
15. Nature of Minds / B. Features of Minds / 1. Consciousness / e. Cause of consciousness
Maybe a system is conscious if the whole generates more information than its parts [Seth]
16. Persons / C. Self-Awareness / 2. Knowing the Self
The self is embodied, perspectival, volitional, narrative and social [Seth, by PG]
18. Thought / B. Mechanics of Thought / 6. Artificial Thought / a. Artificial Intelligence
Modern AI is mostly machine-based pattern recognition [Seth]
20. Action / B. Preliminaries of Action / 2. Willed Action / a. Will to Act
Volition is felt as doing what you want, with possible alternatives, and a source from within [Seth]
22. Metaethics / A. Ethics Foundations / 2. Source of Ethics / d. Biological ethics
Human exceptionalism plagues biology, and most other human thinking [Seth]