Combining Texts

All the ideas for 'Letters to Remond de Montmort', 'Philosophy of Mathematics' and 'The Art of Rhetoric'

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25 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 / 8. Impredicative Definition
10882 Predicative definitions only refer to entities outside the defined collection [Horsten]
5. Theory of Logic / J. Model Theory in Logic / 2. Isomorphisms
10884 A theory is 'categorical' if it has just one model up to isomorphism [Horsten]
6. Mathematics / B. Foundations for Mathematics / 2. Proof in Mathematics
10885 Computer proofs don't provide explanations [Horsten]
6. Mathematics / B. Foundations for Mathematics / 6. Mathematics as Set Theory / a. Mathematics is set theory
10881 The concept of 'ordinal number' is set-theoretic, not arithmetical [Horsten]
10. Modality / C. Sources of Modality / 2. Necessity as Primitive
12732 Some necessary truths are brute, and others derive from final causes [Leibniz]
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]
15. Nature of Minds / B. Features of Minds / 1. Consciousness / c. Parts of consciousness
19438 Our large perceptions and appetites are made up tiny unconscious fragments [Leibniz]
18. Thought / A. Modes of Thought / 3. Emotions / c. Role of emotions
19415 Passions reside in confused perceptions [Leibniz]
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]
28. God / A. Divine Nature / 2. Divine Nature
19439 God produces possibilities, and thus ideas [Leibniz]