Combining Texts

All the ideas for 'The New Institutional Theory of Art', 'reports of last days' and 'Which Logic is the Right Logic?'

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26 ideas

1. Philosophy / D. Nature of Philosophy / 2. Invocation to Philosophy
343 The unexamined life is not worth living for men [Socrates]
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 / 6. Art as Institution
20329 A work of art is an artifact created for the artworld [Dickie]
22. Metaethics / B. Value / 2. Values / e. Death
344 If death is like a night of dreamless sleep, such nights are very pleasant [Socrates]
339 Men fear death as a great evil when it may be a great blessing [Socrates]
23. Ethics / B. Contract Ethics / 8. Contract Strategies
2 We should not even harm someone who harms us [Socrates]
23. Ethics / C. Virtue Theory / 2. Elements of Virtue Theory / c. Motivation for virtue
345 A good man cannot be harmed, either in life or in death [Socrates]
23. Ethics / C. Virtue Theory / 3. Virtues / c. Justice
346 One ought not to return a wrong or injury to any person, whatever the provocation [Socrates]
23. Ethics / C. Virtue Theory / 4. External Goods / c. Wealth
341 Wealth is good if it is accompanied by virtue [Socrates]
25. Social Practice / D. Justice / 2. The Law / a. Legal system
347 Will I stand up against the law, simply because I have been unjustly judged? [Socrates]
28. God / C. Attitudes to God / 5. Atheism
338 Socrates is accused of denying the gods, saying sun is stone and moon is earth [Socrates, by Plato]