Combining Texts

All the ideas for 'Which Logic is the Right Logic?', 'Does Consciousness Exist?' and 'Theses on Feuerbach'

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23 ideas

1. Philosophy / D. Nature of Philosophy / 5. Aims of Philosophy / a. Philosophy as worldly
5300 Philosophers have interpreted the world, but the point is to change it [Marx]
2. Reason / A. Nature of Reason / 5. Objectivity
5297 Whether human thinking can be 'true' must be decided in practice, not theory [Marx]
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]
15. Nature of Minds / B. Features of Minds / 1. Consciousness / e. Cause of consciousness
9286 Consciousness is not a stuff, but is explained by the relations between experiences [James]
16. Persons / E. Rejecting the Self / 2. Self as Social Construct
22598 The authentic self exists at the level of class, rather than the individual [Marx, by Dunt]
17. Mind and Body / E. Mind as Physical / 3. Eliminativism
9285 'Consciousness' is a nonentity, a mere echo of the disappearing 'soul' [James]
22. Metaethics / A. Ethics Foundations / 2. Source of Ethics / e. Human nature
5298 The human essence is not found in individuals but in social relations [Marx]
29. Religion / D. Religious Issues / 1. Religious Commitment / a. Religious Belief
5299 Religious feeling is social in origin [Marx]