Combining Texts

All the ideas for 'Inverted Earth', 'On Second-Order Logic' and 'Discipline and Punish'

expand these ideas     |    start again     |     specify just one area for these texts

10 ideas

5. Theory of Logic / A. Overview of Logic / 7. Second-Order Logic
14249 Boolos reinterprets second-order logic as plural logic [Boolos, by Oliver/Smiley]
10830 Second-order logic metatheory is set-theoretic, and second-order validity has set-theoretic problems [Boolos]
5. Theory of Logic / C. Ontology of Logic / 1. Ontology of Logic
10829 A sentence can't be a truth of logic if it asserts the existence of certain sets [Boolos]
5. Theory of Logic / G. Quantification / 2. Domain of Quantification
10832 '∀x x=x' only means 'everything is identical to itself' if the range of 'everything' is fixed [Boolos]
5. Theory of Logic / K. Features of Logics / 4. Completeness
10834 Weak completeness: if it is valid, it is provable. Strong: it is provable from a set of sentences [Boolos]
5. Theory of Logic / K. Features of Logics / 6. Compactness
13841 Why should compactness be definitive of logic? [Boolos, by Hacking]
6. Mathematics / B. Foundations for Mathematics / 4. Axioms for Number / e. Peano arithmetic 2nd-order
10833 Many concepts can only be expressed by second-order logic [Boolos]
15. Nature of Minds / B. Features of Minds / 5. Qualia / b. Qualia and intentionality
6172 The Inverted Earth example shows that phenomenal properties are not representational [Block, by Rowlands]
24. Political Theory / C. Ruling a State / 4. Changing the State / a. Centralisation
21947 Power is localised, so we either have totalitarian centralisation, or local politics [Foucault, by Gutting]
25. Social Practice / A. Freedoms / 5. Freedom of lifestyle
21946 Prisons gradually became our models for schools, hospitals and factories [Foucault, by Gutting]