Combining Philosophers

All the ideas for Saunders MacLane, Michael D. Resnik and Laozi (Lao Tzu)

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24 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)]
4. Formal Logic / B. Propositional Logic PL / 2. Tools of Propositional Logic / e. Axioms of PL
6299 Axioms are often affirmed simply because they produce results which have been accepted [Resnik]
4. Formal Logic / F. Set Theory ST / 4. Axioms for Sets / a. Axioms for sets
18189 ZFC could contain a contradiction, and it can never prove its own consistency [MacLane]
6. Mathematics / A. Nature of Mathematics / 1. Mathematics
6304 Mathematical realism says that maths exists, is largely true, and is independent of proofs [Resnik]
6. Mathematics / B. Foundations for Mathematics / 7. Mathematical Structuralism / a. Structuralism
6300 Mathematical constants and quantifiers only exist as locations within structures or patterns [Resnik]
6303 Sets are positions in patterns [Resnik]
6. Mathematics / B. Foundations for Mathematics / 7. Mathematical Structuralism / d. Platonist structuralism
6302 Structuralism must explain why a triangle is a whole, and not a random set of points [Resnik]
6295 There are too many mathematical objects for them all to be mental or physical [Resnik]
6296 Maths is pattern recognition and representation, and its truth and proofs are based on these [Resnik]
6301 Congruence is the strongest relationship of patterns, equivalence comes next, and mutual occurrence is the weakest [Resnik]
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)]