Combining Texts

All the ideas for 'On the Question of Absolute Undecidability', 'Martin Heidegger in conversation' and 'Interview with Baggini and Stangroom'

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10 ideas

4. Formal Logic / F. Set Theory ST / 1. Set Theory
Mathematical set theory has many plausible stopping points, such as finitism, and predicativism [Koellner]
'Reflection principles' say the whole truth about sets can't be captured [Koellner]
5. Theory of Logic / K. Features of Logics / 5. Incompleteness
We have no argument to show a statement is absolutely undecidable [Koellner]
6. Mathematics / A. Nature of Mathematics / 5. The Infinite / i. Cardinal infinity
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
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
Arithmetical undecidability is always settled at the next stage up [Koellner]
7. Existence / A. Nature of Existence / 3. Being / h. Dasein (being human)
I say the manifestation of Being needs humans, and humans only exist as reflected in Being [Heidegger]
22. Metaethics / B. Value / 2. Values / e. Death
It is disturbing if we become unreal when we die, but if time is unreal, then we remain real after death [Le Poidevin]
23. Ethics / F. Existentialism / 1. Existentialism
Existentialism focuses on freedom and self-making, and insertion into the world [Le Poidevin]
27. Natural Reality / D. Time / 2. Passage of Time / d. Time series
A-theory says past, present, future and flow exist; B-theory says this just reports our perspective [Le Poidevin]