Combining Texts

All the ideas for 'fragments/reports', 'Which Logic is the Right Logic?' and 'Impossible Objects: interviews'

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

27 ideas

1. Philosophy / C. History of Philosophy / 2. Ancient Philosophy / b. Pre-Socratic philosophy
20455 Philosophy really got started as the rival mode of discourse to tragedy [Critchley]
1. Philosophy / D. Nature of Philosophy / 5. Aims of Philosophy / d. Philosophy as puzzles
20446 Philosophy begins in disappointment, notably in religion and politics [Critchley]
1. Philosophy / G. Scientific Philosophy / 3. Scientism
20449 Science gives us an excessively theoretical view of life [Critchley]
1. Philosophy / H. Continental Philosophy / 2. Phenomenology
20448 Phenomenology uncovers and redescribes the pre-theoretical layer of life [Critchley]
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 / B. Nature of Art / 8. The Arts / b. Literature
20454 Wallace Stevens is the greatest philosophical poet of the twentieth century in English [Critchley]
21. Aesthetics / C. Artistic Issues / 7. Art and Morality
468 Musical performance can reveal a range of virtues [Damon of Ath.]
20456 Interesting art is always organised around ethical demands [Critchley]
22. Metaethics / A. Ethics Foundations / 1. Nature of Ethics / d. Ethical theory
20447 The problems is not justifying ethics, but motivating it. Why should a self seek its good? [Critchley]
24. Political Theory / D. Ideologies / 2. Anarchism
20452 Anarchism used to be libertarian (especially for sexuality), but now concerns responsibility [Critchley]
20450 The state, law, bureaucracy and capital are limitations on life, so I prefer federalist anarchism [Critchley]
24. Political Theory / D. Ideologies / 3. Conservatism
20451 Belief that humans are wicked leads to authoritarian politics [Critchley]