Combining Texts

All the ideas for 'The Book of Chuang Tzu', 'On the Introduction of Transfinite Numbers' and 'On Euclidean Geometry'

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21 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)]
5. Theory of Logic / K. Features of Logics / 1. Axiomatisation
16886 The truth of an axiom must be independently recognisable [Frege]
6. Mathematics / A. Nature of Mathematics / 3. Nature of Numbers / c. Priority of numbers
13489 Von Neumann treated cardinals as a special sort of ordinal [Neumann, by Hart,WD]
6. Mathematics / A. Nature of Mathematics / 3. Nature of Numbers / e. Ordinal numbers
12336 A von Neumann ordinal is a transitive set with transitive elements [Neumann, by Badiou]
6. Mathematics / B. Foundations for Mathematics / 5. Definitions of Number / g. Von Neumann numbers
18179 For Von Neumann the successor of n is n U {n} (rather than {n}) [Neumann, by Maddy]
18180 Von Neumann numbers are preferred, because they continue into the transfinite [Maddy on Neumann]
15925 Each Von Neumann ordinal number is the set of its predecessors [Neumann, by Lavine]
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 / 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)]