Combining Texts

All the ideas for 'Set Theory', 'Daodejing (Tao Te Ching)' and 'Dissoi Logoi - on Double Arguments'

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35 ideas

1. Philosophy / A. Wisdom / 2. Wise People
6319 Wise people choose inaction and silence [Laozi (Lao Tzu)]
6325 One who knows does not speak; one who speaks does not know [Laozi (Lao Tzu)]
1. Philosophy / D. Nature of Philosophy / 7. Despair over Philosophy
6321 Vulgar people are alert; I alone am muddled [Laozi (Lao Tzu)]
3. Truth / H. Deflationary Truth / 2. Deflationary Truth
1564 True and false statements can use exactly the same words [Anon (Diss)]
4. Formal Logic / F. Set Theory ST / 4. Axioms for Sets / b. Axiom of Extensionality I
13030 Extensionality: ∀x ∀y (∀z (z ∈ x ↔ z ∈ y) → x = y) [Kunen]
4. Formal Logic / F. Set Theory ST / 4. Axioms for Sets / c. Axiom of Pairing II
13032 Pairing: ∀x ∀y ∃z (x ∈ z ∧ y ∈ z) [Kunen]
4. Formal Logic / F. Set Theory ST / 4. Axioms for Sets / d. Axiom of Unions III
13033 Union: ∀F ∃A ∀Y ∀x (x ∈ Y ∧ Y ∈ F → x ∈ A) [Kunen]
4. Formal Logic / F. Set Theory ST / 4. Axioms for Sets / f. Axiom of Infinity V
13037 Infinity: ∃x (0 ∈ x ∧ ∀y ∈ x (S(y) ∈ x) [Kunen]
4. Formal Logic / F. Set Theory ST / 4. Axioms for Sets / g. Axiom of Powers VI
13038 Power Set: ∀x ∃y ∀z(z ⊂ x → z ∈ y) [Kunen]
4. Formal Logic / F. Set Theory ST / 4. Axioms for Sets / h. Axiom of Replacement VII
13034 Replacement: ∀x∈A ∃!y φ(x,y) → ∃Y ∀X∈A ∃y∈Y φ(x,y) [Kunen]
4. Formal Logic / F. Set Theory ST / 4. Axioms for Sets / i. Axiom of Foundation VIII
13039 Foundation:∀x(∃y(y∈x) → ∃y(y∈x ∧ ¬∃z(z∈x ∧ z∈y))) [Kunen]
4. Formal Logic / F. Set Theory ST / 4. Axioms for Sets / j. Axiom of Choice IX
13036 Choice: ∀A ∃R (R well-orders A) [Kunen]
4. Formal Logic / F. Set Theory ST / 4. Axioms for Sets / k. Axiom of Existence
13029 Set Existence: ∃x (x = x) [Kunen]
4. Formal Logic / F. Set Theory ST / 4. Axioms for Sets / n. Axiom of Comprehension
13031 Comprehension: ∃y ∀x (x ∈ y ↔ x ∈ z ∧ φ) [Kunen]
4. Formal Logic / F. Set Theory ST / 4. Axioms for Sets / o. Axiom of Constructibility V = L
13040 Constructibility: V = L (all sets are constructible) [Kunen]
11. Knowledge Aims / A. Knowledge / 1. Knowledge
6328 To know yet to think that one does not know is best [Laozi (Lao Tzu)]
6323 Pursuit of learning increases activity; the Way decreases it [Laozi (Lao Tzu)]
13. Knowledge Criteria / E. Relativism / 4. Cultural relativism
1561 Anything can be acceptable in some circumstances and unacceptable in others [Anon (Diss)]
1560 Lydians prostitute their daughters to raise a dowery, but no Greek would marry such a girl [Anon (Diss)]
1559 Thracians think tattooing adds to a girl's beauty, but elsewhere it is a punishment [Anon (Diss)]
19. Language / F. Communication / 1. Rhetoric
6331 Truth is not beautiful; beautiful speech is not truthful [Laozi (Lao Tzu)]
20. Action / C. Motives for Action / 3. Acting on Reason / b. Intellectualism
1567 How could someone who knows everything fail to act correctly? [Anon (Diss)]
22. Metaethics / A. Ethics Foundations / 2. Source of Ethics / j. Ethics by convention
1563 Every apparent crime can be right in certain circumstances [Anon (Diss), by PG]
22. Metaethics / B. Value / 2. Values / e. Death
6330 One with no use for life is wiser than one who values it [Laozi (Lao Tzu)]
22. Metaethics / B. Value / 2. Values / g. Love
6327 Do good to him who has done you an injury [Laozi (Lao Tzu)]
22. Metaethics / C. The Good / 1. Goodness / g. Consequentialism
1562 It is right to lie to someone, to get them to take medicine they are reluctant to take [Anon (Diss)]
23. Ethics / C. Virtue Theory / 1. Virtue Theory / a. Nature of virtue
23402 The highest virtue is achieved without effort [Laozi (Lao Tzu)]
23. Ethics / C. Virtue Theory / 2. Elements of Virtue Theory / c. Motivation for virtue
6324 To gain in goodness, treat as good those who are good, and those who are not [Laozi (Lao Tzu)]
23. Ethics / C. Virtue Theory / 2. Elements of Virtue Theory / g. Desires
6322 There is no crime greater than having too many desires [Laozi (Lao Tzu)]
24. Political Theory / C. Ruling a State / 2. Leaders / a. Autocracy
6320 The best rulers are invisible, the next admired, the next feared, and the worst are exploited [Laozi (Lao Tzu)]
24. Political Theory / C. Ruling a State / 3. Government / a. Government
6329 People are hard to govern because authorities love to do things [Laozi (Lao Tzu)]
24. Political Theory / D. Ideologies / 5. Democracy / b. Consultation
1566 The first priority in elections is to vote for people who support democracy [Anon (Diss)]
25. Social Practice / D. Justice / 2. The Law / a. Legal system
6326 The better known the law, the more criminals there are [Laozi (Lao Tzu)]
25. Social Practice / E. Policies / 1. War / e. Peace
23401 A military victory is not a thing of beauty [Laozi (Lao Tzu)]
25. Social Practice / E. Policies / 5. Education / c. Teaching
1565 We learn language, and we don't know who teaches us it [Anon (Diss)]