Combining Texts

All the ideas for 'works (fragments)', 'Model Theory' and 'reports'

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38 ideas

2. Reason / A. Nature of Reason / 7. Status of Reason
501 Reason is a more powerful persuader than gold [Democritus (attr)]
2. Reason / A. Nature of Reason / 9. Limits of Reason
1813 All reasoning endlessly leads to further reasoning (Mode 12) [Agrippa, by Diog. Laertius]
1811 Proofs often presuppose the thing to be proved (Mode 15) [Agrippa, by Diog. Laertius]
1815 Reasoning needs arbitrary faith in preliminary hypotheses (Mode 14) [Agrippa, by Diog. Laertius]
1812 All discussion is full of uncertainty and contradiction (Mode 11) [Agrippa, by Diog. Laertius]
2. Reason / D. Definition / 7. Contextual Definition
10476 The idea that groups of concepts could be 'implicitly defined' was abandoned [Hodges,W]
5. Theory of Logic / A. Overview of Logic / 5. First-Order Logic
10478 Since first-order languages are complete, |= and |- have the same meaning [Hodges,W]
5. Theory of Logic / B. Logical Consequence / 4. Semantic Consequence |=
10477 |= in model-theory means 'logical consequence' - it holds in all models [Hodges,W]
5. Theory of Logic / I. Semantics of Logic / 4. Satisfaction
10474 |= should be read as 'is a model for' or 'satisfies' [Hodges,W]
5. Theory of Logic / J. Model Theory in Logic / 1. Logical Models
10473 Model theory studies formal or natural language-interpretation using set-theory [Hodges,W]
10475 A 'structure' is an interpretation specifying objects and classes of quantification [Hodges,W]
10481 Models in model theory are structures, not sets of descriptions [Hodges,W]
6. Mathematics / A. Nature of Mathematics / 5. The Infinite / i. Cardinal infinity
10480 First-order logic can't discriminate between one infinite cardinal and another [Hodges,W]
13. Knowledge Criteria / A. Justification Problems / 2. Justification Challenges / a. Agrippa's trilemma
8850 Agrippa's Trilemma: justification is infinite, or ends arbitrarily, or is circular [Agrippa, by Williams,M]
13. Knowledge Criteria / E. Relativism / 1. Relativism
1814 Everything is perceived in relation to another thing (Mode 13) [Agrippa, by Diog. Laertius]
21. Aesthetics / A. Aesthetic Experience / 4. Beauty
514 Beauty is merely animal without intelligence [Democritus (attr)]
22. Metaethics / A. Ethics Foundations / 1. Nature of Ethics / g. Moral responsibility
525 Behave well when alone, and feel shame in you own eyes [Democritus (attr)]
22. Metaethics / B. Value / 2. Values / d. Health
502 Good breeding in men means having a good character [Democritus (attr)]
22. Metaethics / B. Value / 2. Values / g. Love
507 Virtuous love consists of decorous desire for the beautiful [Democritus (attr)]
22. Metaethics / C. The Good / 3. Pleasure / b. Types of pleasure
521 We should only choose pleasures which are concerned with the beautiful [Democritus (attr)]
505 Good and true are the same for everyone, but pleasures differ [Democritus (attr)]
22. Metaethics / C. The Good / 3. Pleasure / c. Value of pleasure
508 Only accept beneficial pleasures [Democritus (attr)]
22. Metaethics / C. The Good / 3. Pleasure / d. Sources of pleasure
520 The great pleasures come from the contemplation of noble works [Democritus (attr)]
522 Moderation brings more pleasures, and so increases pleasure [Democritus (attr)]
22. Metaethics / C. The Good / 3. Pleasure / e. Role of pleasure
506 Immoderate desire is the mark of a child, not an adult [Democritus (attr)]
22. Metaethics / C. The Good / 3. Pleasure / f. Dangers of pleasure
523 It is as brave to master pleasure as to overcome the enemy [Democritus (attr)]
23. Ethics / C. Virtue Theory / 2. Elements of Virtue Theory / c. Motivation for virtue
503 Virtue doesn't just avoid evil, but also doesn't desire it [Democritus (attr)]
518 A bad life is just a drawn-out death [Democritus (attr)]
497 Be virtuous from duty, not from fear [Democritus (attr)]
23. Ethics / C. Virtue Theory / 2. Elements of Virtue Theory / d. Teaching virtue
499 Repentance of shameful deeds is salvation [Democritus (attr)]
524 Virtue comes more from practice than from nature [Democritus (attr)]
23. Ethics / C. Virtue Theory / 2. Elements of Virtue Theory / i. Absolute virtues
519 One must avoid even speaking of evil deeds [Democritus (attr)]
23. Ethics / C. Virtue Theory / 3. Virtues / c. Justice
500 The wrongdoer is more unfortunate than the person wronged [Democritus (attr)]
23. Ethics / C. Virtue Theory / 4. External Goods / c. Wealth
526 Small appetite makes poverty equal to wealth [Democritus (attr)]
1539 The endless desire for money is a crueller slavery than poverty [Democritus (attr)]
23. Ethics / C. Virtue Theory / 4. External Goods / d. Friendship
511 It is better to have one intelligent friend than many unintelligent [Democritus (attr)]
23. Ethics / D. Deontological Ethics / 2. Duty
498 It is a great thing, when one is in adversity, to think of duty [Democritus (attr)]
24. Political Theory / D. Ideologies / 5. Democracy / a. Nature of democracy
1541 It is better to be poor in a democracy than be rich without freedom [Democritus (attr)]