Combining Texts

All the ideas for 'Mahaprajnaparamitashastra', 'Causal Relations' and 'Which Logic is the Right Logic?'

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24 ideas

1. Philosophy / F. Analytic Philosophy / 5. Linguistic Analysis
8349 The best way to do ontology is to make sense of our normal talk [Davidson]
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
10773 The Löwenheim-Skolem property is a limitation (e.g. can't say there are uncountably many reals) [Tharp]
10777 Skolem mistakenly inferred that Cantor's conceptions were illusory [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]
7. Existence / B. Change in Existence / 4. Events / b. Events as primitive
8348 If we don't assume that events exist, we cannot make sense of our common talk [Davidson]
14. Science / D. Explanation / 1. Explanation / a. Explanation
8347 Explanations typically relate statements, not events [Davidson]
23. Ethics / C. Virtue Theory / 3. Virtues / a. Virtues
7903 The six perfections are giving, morality, patience, vigour, meditation, and wisdom [Nagarjuna]
26. Natural Theory / C. Causation / 1. Causation
10371 Distinguish causation, which is in the world, from explanations, which depend on descriptions [Davidson, by Schaffer,J]
26. Natural Theory / C. Causation / 8. Particular Causation / b. Causal relata
8403 Either facts, or highly unspecific events, serve better as causes than concrete events [Field,H on Davidson]
26. Natural Theory / C. Causation / 8. Particular Causation / c. Conditions of causation
8346 Full descriptions can demonstrate sufficiency of cause, but not necessity [Davidson]
26. Natural Theory / C. Causation / 9. General Causation / b. Nomological causation
4778 A singular causal statement is true if it is held to fall under a law [Davidson, by Psillos]