Combining Texts

All the ideas for 'On the Question of Absolute Undecidability', 'The Ages of the World' and 'The Meaning of 'Meaning''

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16 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]
9. Objects / D. Essence of Objects / 15. Against Essentialism
Putnam smuggles essentialism about liquids into his proof that water must be H2O [Salmon,N on Putnam]
15. Nature of Minds / B. Features of Minds / 5. Qualia / b. Qualia and intentionality
The Twin Earth theory suggests that intentionality is independent of qualia [Jacquette on Putnam]
18. Thought / C. Content / 5. Twin Earth
If Twins talking about 'water' and 'XYZ' have different thoughts but identical heads, then thoughts aren't in the head [Putnam, by Crane]
We say ice and steam are different forms of water, but not that they are different forms of H2O [Forbes,G on Putnam]
Does 'water' mean a particular substance that was 'dubbed'? [Putnam, by Rey]
19. Language / B. Reference / 4. Descriptive Reference / a. Sense and reference
Often reference determines sense, and not (as Frege thought) vice versa [Putnam, by Scruton]
23. Ethics / C. Virtue Theory / 2. Elements of Virtue Theory / e. Character
We don't choose our characters, yet we still claim credit for the actions our characters perform [Schelling]
26. Natural Theory / B. Natural Kinds / 4. Source of Kinds
The hidden structure of a natural kind determines membership in all possible worlds [Putnam]
26. Natural Theory / D. Laws of Nature / 8. Scientific Essentialism / a. Scientific essentialism
If causes are the essence of diseases, then disease is an example of a relational essence [Putnam, by Williams,NE]
Archimedes meant by 'gold' the hidden structure or essence of the stuff [Putnam]