Combining Texts

All the ideas for 'On the Question of Absolute Undecidability', '17: Of Superstition' and 'An American Indian model of the Universe'

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10 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]
13. Knowledge Criteria / E. Relativism / 5. Language Relativism
3916 Hopi consistently prefers verbs and events to nouns and things [Whorf]
14. Science / B. Scientific Theories / 4. Paradigm
3917 Scientific thought is essentially a specialised part of Indo-European languages [Whorf]
27. Natural Reality / D. Time / 2. Passage of Time / e. Tensed (A) series
3915 The Hopi have no concept of time as something flowing from past to future [Whorf]
28. God / A. Divine Nature / 6. Divine Morality / b. Euthyphro question
7399 Even without religion, there are many guides to morality [Bacon]