Combining Texts

All the ideas for 'On the Question of Absolute Undecidability', 'Sickness unto Death' and 'Letters to Thomasius'

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9 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]
9. Objects / D. Essence of Objects / 1. Essences of Objects
13432 The essence of a circle is the equality of its radii [Leibniz]
16. Persons / B. Nature of the Self / 3. Self as Non-physical
16002 The self is a combination of pairs of attributes: freedom/necessity, infinite/finite, temporal/eternal [Kierkegaard]
27. Natural Reality / A. Classical Physics / 1. Mechanics / a. Explaining movement
12696 Bodies are recreated in motion, and don't exist in intervening instants [Leibniz]