Combining Texts

All the ideas for 'On the Question of Absolute Undecidability', 'Against Method' and 'Essence and Being'

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14 ideas

1. Philosophy / G. Scientific Philosophy / 1. Aims of Science
Science rules the globe because of colonising power, not inherent rationality [Feyerabend]
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 / 1. Essences of Objects
Serious essentialism says everything has essences, they're not things, and they ground necessities [Shalkowski]
9. Objects / D. Essence of Objects / 6. Essence as Unifier
Essences are what it is to be that (kind of) thing - in fact, they are the thing's identity [Shalkowski]
9. Objects / D. Essence of Objects / 13. Nominal Essence
We distinguish objects by their attributes, not by their essences [Shalkowski]
9. Objects / D. Essence of Objects / 15. Against Essentialism
Critics say that essences are too mysterious to be known [Shalkowski]
10. Modality / A. Necessity / 4. De re / De dicto modality
De dicto necessity has linguistic entities as their source, so it is a type of de re necessity [Shalkowski]
14. Science / B. Scientific Theories / 6. Theory Holism
For Feyerabend the meaning of a term depends on a whole theory [Feyerabend, by Rorty]
19. Language / C. Assigning Meanings / 7. Extensional Semantics
Equilateral and equiangular aren't the same, as we have to prove their connection [Shalkowski]