Combining Texts

All the ideas for 'fragments/reports', 'Emotivism' and 'The Philosophy of Mathematics'

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14 ideas

4. Formal Logic / F. Set Theory ST / 4. Axioms for Sets / a. Axioms for sets
ZF set theory has variables which range over sets, 'equals' and 'member', and extensionality [Dummett]
The main alternative to ZF is one which includes looser classes as well as sets [Dummett]
5. Theory of Logic / D. Assumptions for Logic / 2. Excluded Middle
Intuitionists reject excluded middle, not for a third value, but for possibility of proof [Dummett]
5. Theory of Logic / G. Quantification / 5. Second-Order Quantification
First-order logic concerns objects; second-order adds properties, kinds, relations and functions [Dummett]
5. Theory of Logic / I. Semantics of Logic / 3. Logical Truth
Logical truths and inference are characterized either syntactically or semantically [Dummett]
6. Mathematics / A. Nature of Mathematics / 3. Nature of Numbers / c. Priority of numbers
Ordinals seem more basic than cardinals, since we count objects in sequence [Dummett]
6. Mathematics / B. Foundations for Mathematics / 7. Mathematical Structuralism / e. Structuralism critique
The number 4 has different positions in the naturals and the wholes, with the same structure [Dummett]
21. Aesthetics / C. Artistic Issues / 7. Art and Morality
Musical performance can reveal a range of virtues [Damon of Ath.]
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]