Combining Texts

All the ideas for 'On the Question of Absolute Undecidability', 'Martin Heidegger in conversation' and 'Of Human Freedom'

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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]
7. Existence / A. Nature of Existence / 3. Being / c. Becoming
22076 Being is only perceptible to itself as becoming [Schelling]
7. Existence / A. Nature of Existence / 3. Being / h. Dasein (being human)
15584 I say the manifestation of Being needs humans, and humans only exist as reflected in Being [Heidegger]
11. Knowledge Aims / C. Knowing Reality / 3. Idealism / d. Absolute idealism
22074 We must show that the whole of nature, because it is effective, is grounded in freedom [Schelling]
16. Persons / F. Free Will / 2. Sources of Free Will
22075 Only idealism has given us the genuine concept of freedom [Schelling]