Combining Texts

All the ideas for 'On the Question of Absolute Undecidability', 'Reply to Fourth Objections' and 'Emotivism'

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13 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]
17. Mind and Body / E. Mind as Physical / 6. Conceptual Dualism
The concept of mind excludes body, and vice versa [Descartes]
22. Metaethics / A. Ethics Foundations / 2. Source of Ethics / h. Expressivism
Two people might agree in their emotional moral attitude while disagreeing in their judgement [Brink]
Emotivists find it hard to analyse assertions of moral principles, rather than actual judgements [Brink]
Emotivists claim to explain moral motivation by basing morality on non-cognitive attitudes [Brink]
Emotivists tend to favour a redundancy theory of truth, making moral judgement meaningless [Brink]
Emotivism implies relativism about moral meanings, but critics say disagreements are about moral reference [Brink]
How can emotivists explain someone who recognises morality but is indifferent to it? [Brink]