Combining Texts

All the ideas for 'Commentary on 'De Anima'', 'On the Question of Absolute Undecidability' and 'Morality as system of hypothetical imperatives'

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12 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]
22. Metaethics / A. Ethics Foundations / 1. Nature of Ethics / e. Ethical cognitivism
Morality is inescapable, in descriptive words such as 'dishonest', 'unjust' and 'uncharitable' [Foot]
22. Metaethics / A. Ethics Foundations / 2. Source of Ethics / b. Rational ethics
Reason is not a motivator of morality [Foot, by Hacker-Wright]
Rejecting moral rules may be villainous, but it isn't inconsistent [Foot]
22. Metaethics / B. Value / 2. Values / e. Death
The soul conserves the body, as we see by its dissolution when the soul leaves [Toletus]
23. Ethics / D. Deontological Ethics / 1. Deontology
Saying we 'ought to be moral' makes no sense, unless it relates to some other system [Foot]
23. Ethics / D. Deontological Ethics / 4. Categorical Imperative
Morality no more consists of categorical imperatives than etiquette does [Foot]