Combining Texts

All the ideas for 'On the Question of Absolute Undecidability', 'Sickness unto Death' and 'Nature and Utility of Religion'

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15 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]
16. Persons / B. Nature of the Self / 3. Self as Non-physical
The self is a combination of pairs of attributes: freedom/necessity, infinite/finite, temporal/eternal [Kierkegaard]
28. God / B. Proving God / 3. Proofs of Evidence / c. Teleological Proof critique
We don't get a love of 'order' from nature - which is thoroughly chaotic [Mill]
29. Religion / D. Religious Issues / 3. Problem of Evil / a. Problem of Evil
Evil comes from good just as often as good comes from evil [Mill]
Belief that an afterlife is required for justice is an admission that this life is very unjust [Mill]
No necessity ties an omnipotent Creator, so he evidently wills human misery [Mill]
29. Religion / D. Religious Issues / 3. Problem of Evil / d. Natural Evil
Nature dispenses cruelty with no concern for either mercy or justice [Mill]
Killing is a human crime, but nature kills everyone, and often with great tortures [Mill]
Nature makes childbirth a miserable experience, often leading to the death of the mother [Mill]
Hurricanes, locusts, floods and blight can starve a million people to death [Mill]