Combining Texts

All the ideas for 'Foundations of Geometry', 'Emile: treatise on education' and 'fragments/reports'

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11 ideas

2. Reason / B. Laws of Thought / 3. Non-Contradiction
12268 Contradiction is impossible [Antisthenes (I), by Aristotle]
2. Reason / D. Definition / 13. Against Definition
602 Some fools think you cannot define anything, but only say what it is like [Antisthenes (I), by Aristotle]
6. Mathematics / A. Nature of Mathematics / 2. Geometry
13472 Hilbert aimed to eliminate number from geometry [Hilbert, by Hart,WD]
6. Mathematics / B. Foundations for Mathematics / 3. Axioms for Geometry
9546 Euclid axioms concerns possibilities of construction, but Hilbert's assert the existence of objects [Hilbert, by Chihara]
18742 Hilbert's formalisation revealed implicit congruence axioms in Euclid [Hilbert, by Horsten/Pettigrew]
18217 Hilbert's geometry is interesting because it captures Euclid without using real numbers [Hilbert, by Field,H]
22. Metaethics / C. The Good / 3. Pleasure / f. Dangers of pleasure
1664 I would rather go mad than experience pleasure [Antisthenes (I)]
23. Ethics / C. Virtue Theory / 2. Elements of Virtue Theory / d. Teaching virtue
21385 Antisthenes said virtue is teachable and permanent, is life's goal, and is like universal wealth [Antisthenes (I), by Long]
23. Ethics / F. Existentialism / 6. Authentic Self
20759 Feelings are prior to intelligence; we should be content to live with our simplest feelings [Rousseau]
24. Political Theory / B. Nature of a State / 4. Citizenship
19854 We all owe labour in return for our keep, and every idle citizen is a thief [Rousseau]
28. God / C. Attitudes to God / 2. Pantheism
2631 Antisthenes says there is only one god, which is nature [Antisthenes (I), by Cicero]