Combining Texts

All the ideas for 'The Sayings of Confucius', 'Introduction to Zermelo's 1930 paper' and 'fragments/reports'

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35 ideas

4. Formal Logic / F. Set Theory ST / 4. Axioms for Sets / a. Axioms for sets
17833 The first-order ZF axiomatisation is highly non-categorical [Hallett,M]
17834 Non-categoricity reveals a sort of incompleteness, with sets existing that the axioms don't reveal [Hallett,M]
4. Formal Logic / F. Set Theory ST / 7. Natural Sets
17837 Zermelo allows ur-elements, to enable the widespread application of set-theory [Hallett,M]
6. Mathematics / A. Nature of Mathematics / 5. The Infinite / g. Continuum Hypothesis
17836 The General Continuum Hypothesis and its negation are both consistent with ZF [Hallett,M]
6. Mathematics / A. Nature of Mathematics / 5. The Infinite / k. Infinitesimals
21382 Things get smaller without end [Anaxagoras]
7. Existence / A. Nature of Existence / 1. Nature of Existence
481 Nothing is created or destroyed; there is only mixing and separation [Anaxagoras]
7. Existence / A. Nature of Existence / 3. Being / f. Primary being
21822 Anaxagoras's concept of supreme Mind has a simple First and a multiple One [Anaxagoras, by Plotinus]
7. Existence / C. Structure of Existence / 6. Fundamentals / a. Fundamental reality
17995 Basic is the potentially perceptible, then comes the contrary qualities, and finally the 'elements' [Anaxagoras]
12. Knowledge Sources / B. Perception / 1. Perception
20802 Snow is not white, and doesn't even appear white, because it is made of black water [Anaxagoras, by Cicero]
12. Knowledge Sources / D. Empiricism / 5. Empiricism Critique
13257 The senses are too feeble to determine the truth [Anaxagoras]
13. Knowledge Criteria / D. Scepticism / 2. Types of Scepticism
22761 We reveal unreliability in the senses when we cannot discriminate a slow change of colour [Anaxagoras, by Sext.Empiricus]
15. Nature of Minds / A. Nature of Mind / 1. Mind / a. Mind
13256 Nous is unlimited, self-ruling and pure; it is the finest thing, with great discernment and strength [Anaxagoras]
15. Nature of Minds / A. Nature of Mind / 1. Mind / c. Features of mind
13784 Mind is self-ruling, pure, ordering and ubiquitous [Anaxagoras, by Plato]
16. Persons / F. Free Will / 1. Nature of Free Will
5118 Anaxagoras says mind remains pure, and so is not affected by what it changes [Anaxagoras, by Aristotle]
19. Language / F. Communication / 1. Rhetoric
7357 People who control others with fluent language often end up being hated [Kongzi (Confucius)]
22. Metaethics / A. Ethics Foundations / 1. Nature of Ethics / h. Against ethics
7358 All men prefer outward appearance to true excellence [Kongzi (Confucius)]
22. Metaethics / A. Ethics Foundations / 2. Source of Ethics / e. Human nature
7362 Humans are similar, but social conventions drive us apart (sages and idiots being the exceptions) [Kongzi (Confucius)]
23. Ethics / B. Contract Ethics / 2. Golden Rule
7360 Do not do to others what you would not desire yourself [Kongzi (Confucius)]
23. Ethics / C. Virtue Theory / 2. Elements of Virtue Theory / f. The Mean
7359 Excess and deficiency are equally at fault [Kongzi (Confucius)]
23. Ethics / C. Virtue Theory / 3. Virtues / a. Virtues
7363 The virtues of the best people are humility, maganimity, sincerity, diligence, and graciousness [Kongzi (Confucius)]
23. Ethics / C. Virtue Theory / 3. Virtues / g. Contemplation
18231 Anaxagoras said a person would choose to be born to contemplate the ordered heavens [Anaxagoras]
24. Political Theory / C. Ruling a State / 2. Leaders / d. Elites
7361 Men of the highest calibre avoid political life completely [Kongzi (Confucius)]
24. Political Theory / D. Ideologies / 3. Conservatism
23393 Confucianism assumes that all good developments have happened, and there is only one Way [Norden on Kongzi (Confucius)]
26. Natural Theory / A. Speculations on Nature / 2. Natural Purpose / a. Final purpose
631 For Anaxagoras the Good Mind has no opposite, and causes all movement, for a higher reason [Anaxagoras, by Aristotle]
26. Natural Theory / A. Speculations on Nature / 6. Early Matter Theories / a. Greek matter
22727 Mind creates the world from a mixture of pure substances [Anaxagoras, by ]
26. Natural Theory / A. Speculations on Nature / 6. Early Matter Theories / c. Ultimate substances
550 Anaxagoras said that the number of principles was infinite [Anaxagoras, by Aristotle]
21383 The ultimate constituents of reality are the homoeomeries [Anaxagoras, by Vlastos]
26. Natural Theory / A. Speculations on Nature / 6. Early Matter Theories / f. Ancient elements
13208 Anaxagoreans regard the homoeomeries as elements, which compose earth, air, fire and water [Anaxagoras, by Aristotle]
26. Natural Theory / C. Causation / 1. Causation
367 Anaxagoras says mind produces order and causes everything [Anaxagoras, by Plato]
27. Natural Reality / G. Biology / 1. Biology
21381 Germs contain microscopic organs, which become visible as they grow [Anaxagoras]
28. God / A. Divine Nature / 1. God
22726 When things were unified, Mind set them in order [Anaxagoras]
2629 Anaxagoras was the first to say that the universe is directed by an intelligence [Anaxagoras, by Cicero]
28. God / B. Proving God / 3. Proofs of Evidence / b. Teleological Proof
480 Past, present and future, and the movements of the heavens, were arranged by Mind [Anaxagoras]
28. God / C. Attitudes to God / 5. Atheism
5956 Anaxagoras was charged with impiety for calling the sun a lump of stone [Anaxagoras, by Plutarch]
7488 Anaxagoras was the first recorded atheist [Anaxagoras, by Watson]