Combining Texts

All the ideas for 'reports', 'The Art of Rhetoric' and 'Model Theory'

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26 ideas

2. Reason / A. Nature of Reason / 1. On Reason
23250 Desired responsible actions result either from rational or from irrational desire [Aristotle]
2. Reason / C. Styles of Reason / 1. Dialectic
5847 It is the role of dialectic to survey syllogisms [Aristotle]
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
10475 A 'structure' is an interpretation specifying objects and classes of quantification [Hodges,W]
10473 Model theory studies formal or natural language-interpretation using set-theory [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]
10. Modality / A. Necessity / 8. Transcendental Necessity
3016 Even the gods cannot strive against necessity [Pittacus, by Diog. Laertius]
14. Science / A. Basis of Science / 6. Falsification
5862 A single counterexample is enough to prove that a truth is not necessary [Aristotle]
14. Science / C. Induction / 1. Induction
5854 Nobody fears a disease which nobody has yet caught [Aristotle]
19. Language / F. Communication / 1. Rhetoric
5849 Rhetoric is a political offshoot of dialectic and ethics [Aristotle]
21. Aesthetics / A. Aesthetic Experience / 5. Natural Beauty
5851 Pentathletes look the most beautiful, because they combine speed and strength [Aristotle]
22. Metaethics / A. Ethics Foundations / 2. Source of Ethics / e. Human nature
5858 Men are physically prime at thirty-five, and mentally prime at forty-nine [Aristotle]
22. Metaethics / A. Ethics Foundations / 2. Source of Ethics / j. Ethics by convention
5855 We all feel universal right and wrong, independent of any community or contracts [Aristotle]
22. Metaethics / C. The Good / 2. Happiness / d. Routes to happiness
5850 Happiness is composed of a catalogue of internal and external benefits [Aristotle]
23. Ethics / A. Egoism / 1. Ethical Egoism
5856 Self-interest is a relative good, but nobility an absolute good [Aristotle]
23. Ethics / C. Virtue Theory / 1. Virtue Theory / a. Nature of virtue
5848 All good things can be misused, except virtue [Aristotle]
5853 The best virtues are the most useful to others [Aristotle]
23. Ethics / C. Virtue Theory / 3. Virtues / f. Compassion
5857 The young feel pity from philanthropy, but the old from self-concern [Aristotle]
23. Ethics / C. Virtue Theory / 4. External Goods / c. Wealth
5859 Rich people are mindlessly happy [Aristotle]
24. Political Theory / B. Nature of a State / 3. Constitutions
5852 The four constitutions are democracy (freedom), oligarchy (wealth), aristocracy (custom), tyranny (security) [Aristotle]
25. Social Practice / D. Justice / 3. Punishment / b. Retribution for crime
1660 It is noble to avenge oneself on one's enemies, and not come to terms with them [Aristotle]
26. Natural Theory / C. Causation / 5. Direction of causation
5861 People assume events cause what follows them [Aristotle]