Combining Texts

All the ideas for 'On the Question of Absolute Undecidability', 'The Concept of Law' and 'Universal Prescriptivism'

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19 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 / 2. Source of Ethics / c. Ethical intuitionism
How can intuitionists distinguish universal convictions from local cultural ones? [Hare]
You can't use intuitions to decide which intuitions you should cultivate [Hare]
22. Metaethics / A. Ethics Foundations / 2. Source of Ethics / h. Expressivism
Emotivists mistakenly think all disagreements are about facts, and so there are no moral reasons [Hare]
22. Metaethics / A. Ethics Foundations / 2. Source of Ethics / i. Prescriptivism
Prescriptivism sees 'ought' statements as imperatives which are universalisable [Hare]
If morality is just a natural or intuitive description, that leads to relativism [Hare]
Descriptivism say ethical meaning is just truth-conditions; prescriptivism adds an evaluation [Hare]
If there can be contradictory prescriptions, then reasoning must be involved [Hare]
An 'ought' statement implies universal application [Hare]
Prescriptivism implies a commitment, but descriptivism doesn't [Hare]
23. Ethics / D. Deontological Ethics / 3. Universalisability
Moral judgements must invoke some sort of principle [Hare]
25. Social Practice / C. Rights / 1. Basis of Rights
Hart (against Bentham) says human rights are what motivate legal rights [Hart,HLA, by Sen]
25. Social Practice / D. Justice / 2. The Law / a. Legal system
Positive law needs secondary 'rules of recognition' for their correct application [Hart,HLA, by Zimmermann,J]
25. Social Practice / D. Justice / 2. The Law / d. Legal positivism
Hart replaced positivism with the democratic requirement of the people's acceptance [Hart,HLA, by Zimmermann,J]