Combining Texts

All the ideas for 'fragments/reports', 'Which Logic is the Right Logic?' and 'Ethical Criticism and the Vice of Moderation'

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25 ideas

1. Philosophy / D. Nature of Philosophy / 8. Humour
22701 Jokes can sometimes be funny because they are offensive [Jacobson,D]
4. Formal Logic / F. Set Theory ST / 4. Axioms for Sets / j. Axiom of Choice IX
10775 The axiom of choice now seems acceptable and obvious (if it is meaningful) [Tharp]
5. Theory of Logic / A. Overview of Logic / 1. Overview of Logic
10766 Logic is either for demonstration, or for characterizing structures [Tharp]
5. Theory of Logic / A. Overview of Logic / 5. First-Order Logic
10767 Elementary logic is complete, but cannot capture mathematics [Tharp]
5. Theory of Logic / A. Overview of Logic / 7. Second-Order Logic
10769 Second-order logic isn't provable, but will express set-theory and classic problems [Tharp]
5. Theory of Logic / E. Structures of Logic / 2. Logical Connectives / b. Basic connectives
10762 In sentential logic there is a simple proof that all truth functions can be reduced to 'not' and 'and' [Tharp]
5. Theory of Logic / G. Quantification / 2. Domain of Quantification
10776 The main quantifiers extend 'and' and 'or' to infinite domains [Tharp]
5. Theory of Logic / G. Quantification / 7. Unorthodox Quantification
10774 There are at least five unorthodox quantifiers that could be used [Tharp]
5. Theory of Logic / J. Model Theory in Logic / 3. Löwenheim-Skolem Theorems
10777 Skolem mistakenly inferred that Cantor's conceptions were illusory [Tharp]
10773 The Löwenheim-Skolem property is a limitation (e.g. can't say there are uncountably many reals) [Tharp]
5. Theory of Logic / K. Features of Logics / 3. Soundness
10765 Soundness would seem to be an essential requirement of a proof procedure [Tharp]
5. Theory of Logic / K. Features of Logics / 4. Completeness
10763 Completeness and compactness together give axiomatizability [Tharp]
5. Theory of Logic / K. Features of Logics / 5. Incompleteness
10770 If completeness fails there is no algorithm to list the valid formulas [Tharp]
5. Theory of Logic / K. Features of Logics / 6. Compactness
10771 Compactness is important for major theories which have infinitely many axioms [Tharp]
10772 Compactness blocks infinite expansion, and admits non-standard models [Tharp]
5. Theory of Logic / K. Features of Logics / 8. Enumerability
10764 A complete logic has an effective enumeration of the valid formulas [Tharp]
10768 Effective enumeration might be proved but not specified, so it won't guarantee knowledge [Tharp]
21. Aesthetics / A. Aesthetic Experience / 2. Aesthetic Attitude
22703 We don't often respond to events in art as if they were real events [Jacobson,D]
21. Aesthetics / C. Artistic Issues / 7. Art and Morality
22702 Audiences can be too moral [Jacobson,D]
468 Musical performance can reveal a range of virtues [Damon of Ath.]
22696 'Autonomism' says the morality is irrelevant to the aesthetics [Jacobson,D]
22697 Moral defects of art can be among its aesthetic virtues [Jacobson,D]
22700 Immoral art encourages immoral emotions [Jacobson,D]
22699 Moderate moralism says moral qualities can sometimes also be aesthetic qualities [Jacobson,D]
22698 We can judge art ethically, or rate its ethical influence, or assess its quality via its ethics [Jacobson,D]