Combining Texts

All the ideas for 'Introductions to Utilitarianism and its Critics', 'The Philosophy of Mathematics' and 'Languages of Art (2nd edn)'

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17 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 / B. Nature of Art / 1. Defining Art
Art is a referential activity, hence indefinable, but it has a set of symptoms [Goodman]
21. Aesthetics / B. Nature of Art / 5. Art as Language
Artistic symbols are judged by the fruitfulness of their classifications [Goodman, by Giovannelli]
21. Aesthetics / B. Nature of Art / 7. Ontology of Art
A performance is only an instance of a work if there is not a single error [Goodman]
21. Aesthetics / C. Artistic Issues / 2. Copies of Art
A copy only becomes an 'instance' of an artwork if there is a system of notation [Goodman]
22. Metaethics / C. The Good / 1. Goodness / g. Consequentialism
You can't separate acts from the people performing them [Glover]
22. Metaethics / C. The Good / 1. Goodness / h. Good as benefit
Aggression in defence may be beneficial but morally corrupting [Glover]
23. Ethics / D. Deontological Ethics / 1. Deontology
Duty prohibits some acts, whatever their consequences [Glover]
23. Ethics / E. Utilitarianism / 1. Utilitarianism
Satisfaction of desires is not at all the same as achieving happiness [Glover, by PG]
23. Ethics / E. Utilitarianism / 5. Rule Utilitarianism
Rule-utilitarianism is either act-utilitarianism, or not really utilitarian [Glover]
24. Political Theory / A. Basis of a State / 2. Population / a. Human population
How can utilitarianism decide the ideal population size? [Glover]