Combining Texts

All the ideas for 'On the Question of Absolute Undecidability', 'The Mysterious Flame' and 'Nihilism without Self-Contradiction'

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17 ideas

1. Philosophy / E. Nature of Metaphysics / 5. Metaphysics beyond Science
Philosophy is a magnificent failure in its attempt to overstep the limits of our knowledge [McGinn]
2. Reason / F. Fallacies / 7. Ad Hominem
We should always apply someone's theory of meaning to their own utterances [Liggins]
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 / E. Structures of Logic / 1. Logical Form
Thoughts have a dual aspect: as they seem to introspection, and their underlying logical reality [McGinn]
5. Theory of Logic / G. Quantification / 6. Plural Quantification
We normally formalise 'There are Fs' with singular quantification and predication, but this may be wrong [Liggins]
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]
9. Objects / C. Structure of Objects / 8. Parts of Objects / a. Parts of objects
Nihilists needn't deny parts - they can just say that some of the xs are among the ys [Liggins]
15. Nature of Minds / C. Capacities of Minds / 1. Faculties
Mental modules for language, social, action, theory, space, emotion [McGinn]
16. Persons / F. Free Will / 1. Nature of Free Will
Free will is mental causation in action [McGinn]
17. Mind and Body / A. Mind-Body Dualism / 3. Panpsychism
Brains aren't made of anything special, suggesting panpsychism [McGinn]
17. Mind and Body / D. Property Dualism / 6. Mysterianism
Examining mind sees no brain; examining brain sees no mind [McGinn]
19. Language / C. Assigning Meanings / 6. Truth-Conditions Semantics
There is information if there are symbols which refer, and which can combine into a truth or falsehood [McGinn]
26. Natural Theory / C. Causation / 4. Naturalised causation
Causation in the material world is energy-transfer, of motion, electricity or gravity [McGinn]