Combining Texts

All the ideas for 'The DhammaPada', 'Epistemic Justification' and 'Which Logic is the Right Logic?'

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

26 ideas

1. Philosophy / A. Wisdom / 3. Wisdom Deflated
7893 Our life is the creation of our mind [Anon (Dham)]
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]
11. Knowledge Aims / C. Knowing Reality / 3. Idealism / a. Idealism
7898 The world is just the illusion of an appearance [Anon (Dham)]
13. Knowledge Criteria / A. Justification Problems / 3. Internal or External / a. Pro-internalism
19679 'Access' internalism says responsibility needs access; weaker 'mentalism' needs mental justification [Kvanvig]
13. Knowledge Criteria / B. Internal Justification / 4. Foundationalism / a. Foundationalism
19678 Strong foundationalism needs strict inferences; weak version has induction, explanation, probability [Kvanvig]
22. Metaethics / B. Value / 2. Values / g. Love
7894 Hate is conquered by love [Anon (Dham)]
22. Metaethics / C. The Good / 3. Pleasure / f. Dangers of pleasure
7899 Even divine pleasure will not satisfy the wise, as it is insatiable, and leads to pain [Anon (Dham)]
23. Ethics / C. Virtue Theory / 2. Elements of Virtue Theory / e. Character
7896 The foolish gradually fill with evil, like a slowly-filled water-jar [Anon (Dham)]
7897 The wise gradually fill with good, like a slowly-filled water-jar [Anon (Dham)]
23. Ethics / C. Virtue Theory / 4. External Goods / d. Friendship
7895 Don't befriend fools; either find superior friends, or travel alone [Anon (Dham)]
29. Religion / C. Spiritual Disciplines / 3. Buddhism
7900 Speak the truth, yield not to anger, give what you can to him who asks [Anon (Dham)]