Combining Texts

All the ideas for 'Wiener Logik', 'Papers of 1906' and 'On the Question of Absolute Undecidability'

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10 ideas

2. Reason / D. Definition / 2. Aims of Definition
18261 A simplification which is complete constitutes a definition [Kant]
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 / A. Overview of Logic / 3. Value of Logic
22275 Logic gives us the necessary rules which show us how we ought to think [Kant]
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 / A. Justification Problems / 3. Internal or External / b. Pro-externalism
18260 If we knew what we know, we would be astonished [Kant]
18. Thought / A. Modes of Thought / 6. Judgement / b. Error
22306 To explain false belief we should take belief as relating to a proposition's parts, not to the whole thing [Russell]