Combining Philosophers

All the ideas for Euclid, Chilo and Zhuangzi (Chuang Tzu)

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28 ideas

1. Philosophy / A. Wisdom / 1. Nature of Wisdom
7278 Words of wisdom are precise and clear [Zhuangzi (Chuang Tzu)]
1. Philosophy / D. Nature of Philosophy / 7. Despair over Philosophy
7281 Don't even start, let's just stay put [Zhuangzi (Chuang Tzu)]
2. Reason / C. Styles of Reason / 1. Dialectic
7282 Disagreement means you do not understand at all [Zhuangzi (Chuang Tzu)]
2. Reason / C. Styles of Reason / 3. Eristic
7284 If you beat me in argument, does that mean you are right? [Zhuangzi (Chuang Tzu)]
2. Reason / E. Argument / 6. Conclusive Proof
8623 Proof reveals the interdependence of truths, as well as showing their certainty [Euclid, by Frege]
4. Formal Logic / C. Predicate Calculus PC / 2. Tools of Predicate Calculus / c. Derivations rules of PC
13907 If you pick an arbitrary triangle, things proved of it are true of all triangles [Euclid, by Lemmon]
6. Mathematics / A. Nature of Mathematics / 2. Geometry
6297 Euclid's geometry is synthetic, but Descartes produced an analytic version of it [Euclid, by Resnik]
6. Mathematics / A. Nature of Mathematics / 3. Nature of Numbers / b. Types of number
9603 An assumption that there is a largest prime leads to a contradiction [Euclid, by Brown,JR]
6. Mathematics / A. Nature of Mathematics / 3. Nature of Numbers / m. One
9894 A unit is that according to which each existing thing is said to be one [Euclid]
6. Mathematics / A. Nature of Mathematics / 5. The Infinite / a. The Infinite
8738 Postulate 2 says a line can be extended continuously [Euclid, by Shapiro]
6. Mathematics / B. Foundations for Mathematics / 3. Axioms for Geometry
22278 Euclid relied on obvious properties in diagrams, as well as on his axioms [Potter on Euclid]
8673 Euclid's parallel postulate defines unique non-intersecting parallel lines [Euclid, by Friend]
10250 Euclid needs a principle of continuity, saying some lines must intersect [Shapiro on Euclid]
10302 Euclid says we can 'join' two points, but Hilbert says the straight line 'exists' [Euclid, by Bernays]
14157 Modern geometries only accept various parts of the Euclid propositions [Russell on Euclid]
6. Mathematics / B. Foundations for Mathematics / 5. Definitions of Number / b. Greek arithmetic
1600 Euclid's common notions or axioms are what we must have if we are to learn anything at all [Euclid, by Roochnik]
11. Knowledge Aims / A. Knowledge / 1. Knowledge
7289 Do not try to do things, or to master knowledge; just be empty [Zhuangzi (Chuang Tzu)]
13. Knowledge Criteria / D. Scepticism / 5. Dream Scepticism
23403 You know you were dreaming when you wake, but there might then be a greater awakening from that [Zhuangzi (Chuang Tzu)]
7285 Did Chuang Tzu dream he was a butterfly, or a butterfly dream he was Chuang Tzu? [Zhuangzi (Chuang Tzu)]
16. Persons / E. Rejecting the Self / 4. Denial of the Self
7277 The perfect man has no self [Zhuangzi (Chuang Tzu)]
7286 To see with true clarity, your self must be irrelevant [Zhuangzi (Chuang Tzu)]
19. Language / A. Nature of Meaning / 10. Denial of Meanings
7279 If words can't be defined, they may just be the chirruping of chicks [Zhuangzi (Chuang Tzu)]
19. Language / D. Propositions / 4. Mental Propositions
23404 Words are for meaning, and once you have that you can forget the words [Zhuangzi (Chuang Tzu)]
23. Ethics / C. Virtue Theory / 3. Virtues / a. Virtues
3015 The virtue of man is thoughtful foresight of future events [Chilo, by Diog. Laertius]
23. Ethics / C. Virtue Theory / 3. Virtues / d. Courage
7283 Great courage is not violent [Zhuangzi (Chuang Tzu)]
27. Natural Reality / G. Biology / 2. Life
7280 As all life is one, what need is there for words? [Zhuangzi (Chuang Tzu)]
29. Religion / C. Spiritual Disciplines / 2. Taoism
7288 Go with the flow, and be one with the void of Heaven [Zhuangzi (Chuang Tzu)]
7287 Fish forget about each other in the pond and forget each other in the Tao [Zhuangzi (Chuang Tzu)]