Combining Texts

All the ideas for 'works', 'On the Question of Absolute Undecidability' and 'The Disorder of Things'

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24 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]
7. Existence / E. Categories / 1. Categories
17377 All descriptive language is classificatory [Dupré]
7. Existence / E. Categories / 2. Categorisation
17376 We should aim for a classification which tells us as much as possible about the object [Dupré]
9. Objects / D. Essence of Objects / 8. Essence as Explanatory
17390 Natural kinds don't need essentialism to be explanatory [Dupré]
9. Objects / D. Essence of Objects / 10. Essence as Species
17389 A species might have its essential genetic mechanism replaced by a new one [Dupré]
17388 It seems that species lack essential properties, so they can't be natural kinds [Dupré]
14. Science / A. Basis of Science / 4. Prediction
17374 The possibility of prediction rests on determinism [Dupré]
18. Thought / C. Content / 5. Twin Earth
17378 Presumably molecular structure seems important because we never have the Twin Earth experience [Dupré]
22. Metaethics / A. Ethics Foundations / 2. Source of Ethics / e. Human nature
22086 The most important aspect of a human being is not reason, but passion [Kierkegaard, by Carlisle]
26. Natural Theory / B. Natural Kinds / 1. Natural Kinds
17381 Phylogenetics involves history, and cladism rests species on splits in lineage [Dupré]
17385 Kinds don't do anything (including evolve) because they are abstract [Dupré]
26. Natural Theory / B. Natural Kinds / 7. Critique of Kinds
17375 Natural kinds are decided entirely by the intentions of our classification [Dupré]
17379 Borders between species are much less clear in vegetables than among animals [Dupré]
17384 Even atoms of an element differ, in the energy levels of their electrons [Dupré]
17387 Ecologists favour classifying by niche, even though that can clash with genealogy [Dupré]
17382 Cooks, unlike scientists, distinguish garlic from onions [Dupré]
17380 Wales may count as fish [Dupré]
27. Natural Reality / G. Biology / 5. Species
17383 Species are the lowest-level classification in biology [Dupré]
17386 The theory of evolution is mainly about species [Dupré]