Combining Texts

All the ideas for 'On the Question of Absolute Undecidability', 'A Puzzle Concerning Matter and Form' and 'Brainchildren'

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15 ideas

4. Formal Logic / F. Set Theory ST / 1. Set Theory
17884 Mathematical set theory has many plausible stopping points, such as finitism, and predicativism [Koellner]
17893 'Reflection principles' say the whole truth about sets can't be captured [Koellner]
5. Theory of Logic / K. Features of Logics / 5. Incompleteness
17894 We have no argument to show a statement is absolutely undecidable [Koellner]
6. Mathematics / A. Nature of Mathematics / 5. The Infinite / i. Cardinal infinity
17890 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
17887 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
17891 Arithmetical undecidability is always settled at the next stage up [Koellner]
8. Modes of Existence / C. Powers and Dispositions / 4. Powers as Essence
16755 The possible Aristotelian view that forms are real and active principles is clearly wrong [Fine,K, by Pasnau]
10. Modality / D. Knowledge of Modality / 1. A Priori Necessary
2526 Philosophers regularly confuse failures of imagination with insights into necessity [Dennett]
13. Knowledge Criteria / B. Internal Justification / 4. Foundationalism / f. Foundationalism critique
2523 That every mammal has a mother is a secure reality, but without foundations [Dennett]
15. Nature of Minds / B. Features of Minds / 1. Consciousness / a. Consciousness
2528 Does consciousness need the concept of consciousness? [Dennett]
15. Nature of Minds / B. Features of Minds / 1. Consciousness / c. Parts of consciousness
2525 Maybe language is crucial to consciousness [Dennett]
15. Nature of Minds / B. Features of Minds / 4. Intentionality / b. Intentionality theories
2527 Unconscious intentionality is the foundation of the mind [Dennett]
17. Mind and Body / C. Functionalism / 1. Functionalism
2530 Could a robot be made conscious just by software? [Dennett]
18. Thought / B. Mechanics of Thought / 4. Language of Thought
2524 A language of thought doesn't explain content [Dennett]
18. Thought / D. Concepts / 5. Concepts and Language / c. Concepts without language
2529 Maybe there can be non-conscious concepts (e.g. in bees) [Dennett]