Combining Philosophers

All the ideas for Archimedes, Laozi (Lao Tzu) and Bernard Linsky

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29 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)]
2. Reason / D. Definition / 7. Contextual Definition
18776 Contextual definitions eliminate descriptions from contexts [Linsky,B]
2. Reason / D. Definition / 8. Impredicative Definition
21704 'Impredictative' definitions fix a class in terms of the greater class to which it belongs [Linsky,B]
4. Formal Logic / F. Set Theory ST / 4. Axioms for Sets / p. Axiom of Reducibility
21705 Reducibility says any impredicative function has an appropriate predicative replacement [Linsky,B]
5. Theory of Logic / F. Referring in Logic / 2. Descriptions / b. Definite descriptions
18774 Definite descriptions, unlike proper names, have a logical structure [Linsky,B]
5. Theory of Logic / F. Referring in Logic / 2. Descriptions / c. Theory of definite descriptions
21727 Definite descriptions theory eliminates the King of France, but not the Queen of England [Linsky,B]
5. Theory of Logic / I. Semantics of Logic / 5. Extensionalism
21719 Extensionalism means what is true of a function is true of coextensive functions [Linsky,B]
6. Mathematics / B. Foundations for Mathematics / 3. Axioms for Geometry
13007 Archimedes defined a straight line as the shortest distance between two points [Archimedes, by Leibniz]
6. Mathematics / C. Sources of Mathematics / 6. Logicism / a. Early logicism
21723 The task of logicism was to define by logic the concepts 'number', 'successor' and '0' [Linsky,B]
6. Mathematics / C. Sources of Mathematics / 6. Logicism / b. Type theory
21721 Higher types are needed to distinguished intensional phenomena which are coextensive [Linsky,B]
21703 Types are 'ramified' when there are further differences between the type of quantifier and its range [Linsky,B]
21714 The ramified theory subdivides each type, according to the range of the variables [Linsky,B]
6. Mathematics / C. Sources of Mathematics / 6. Logicism / d. Logicism critique
21713 Did logicism fail, when Russell added three nonlogical axioms, to save mathematics? [Linsky,B]
21715 For those who abandon logicism, standard set theory is a rival option [Linsky,B]
8. Modes of Existence / B. Properties / 11. Properties as Sets
21729 Construct properties as sets of objects, or say an object must be in the set to have the property [Linsky,B]
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)]
19. Language / F. Communication / 1. Rhetoric
6331 Truth is not beautiful; beautiful speech is not truthful [Laozi (Lao Tzu)]
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)]
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)]
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)]