Combining Texts

All the ideas for 'Mahaprajnaparamitashastra', 'Logicism Revisited' and 'Daodejing (Tao Te Ching)'

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24 ideas

1. Philosophy / A. Wisdom / 2. Wise People
Wise people choose inaction and silence [Laozi (Lao Tzu)]
     Full Idea: The sage keeps to the deed that consists in taking no action and practises the teaching that uses no words.
     From: Laozi (Lao Tzu) (Daodejing (Tao Te Ching) [c.530 BCE], I.II.6)
     A reaction: Notice that this is an active 'deed', and a positive 'practice'. He is not just recommending indifference and lethargy. Personally I don't find the advice very appealing, but it might be good if you live in 'interesting times'.
One who knows does not speak; one who speaks does not know [Laozi (Lao Tzu)]
     Full Idea: One who knows does not speak; one who speaks does not know.
     From: Laozi (Lao Tzu) (Daodejing (Tao Te Ching) [c.530 BCE], II.LVI.128)
     A reaction: A famous remark, which my western mind finds simply perplexing. It strikes me as wicked selfishness to keep your wisdom to yourself, and not try to persuade others to follow it. We are all in this together, I say.
1. Philosophy / D. Nature of Philosophy / 7. Despair over Philosophy
Vulgar people are alert; I alone am muddled [Laozi (Lao Tzu)]
     Full Idea: Vulgar people are alert; I alone am muddled.
     From: Laozi (Lao Tzu) (Daodejing (Tao Te Ching) [c.530 BCE], I.XX.47)
     A reaction: Personally I think all human beings are deeply perplexed when they actually address their situation, but most people never spend more than a few minutes a year worrying about it.
5. Theory of Logic / C. Ontology of Logic / 3. If-Thenism
The If-thenist view only seems to work for the axiomatised portions of mathematics [Musgrave]
     Full Idea: The If-thenist view seems to apply straightforwardly only to the axiomatised portions of mathematics.
     From: Alan Musgrave (Logicism Revisited [1977], §5)
     A reaction: He cites Lakatos to show that cutting-edge mathematics is never axiomatised. One might reply that if the new mathematics is any good then it ought to be axiomatis-able (barring Gödelian problems).
Perhaps If-thenism survives in mathematics if we stick to first-order logic [Musgrave]
     Full Idea: If we identify logic with first-order logic, and mathematics with the collection of first-order theories, then maybe we can continue to maintain the If-thenist position.
     From: Alan Musgrave (Logicism Revisited [1977], §5)
     A reaction: The problem is that If-thenism must rely on rules of inference. That seems to mean that what is needed is Soundness, rather than Completeness. That is, inference by the rules must work properly.
5. Theory of Logic / I. Semantics of Logic / 3. Logical Truth
Logical truths may contain non-logical notions, as in 'all men are men' [Musgrave]
     Full Idea: Containing only logical notions is not a necessary condition for being a logical truth, since a logical truth such as 'all men are men' may contain non-logical notions such as 'men'.
     From: Alan Musgrave (Logicism Revisited [1977], §3)
     A reaction: [He attributes this point to Russell] Maybe it is only a logical truth in its general form, as ∀x(x=x). Of course not all 'banks' are banks.
A statement is logically true if it comes out true in all interpretations in all (non-empty) domains [Musgrave]
     Full Idea: The standard modern view of logical truth is that a statement is logically true if it comes out true in all interpretations in all (non-empty) domains.
     From: Alan Musgrave (Logicism Revisited [1977], §3)
6. Mathematics / B. Foundations for Mathematics / 4. Axioms for Number / d. Peano arithmetic
No two numbers having the same successor relies on the Axiom of Infinity [Musgrave]
     Full Idea: The axiom of Peano which states that no two numbers have the same successor requires the Axiom of Infinity for its proof.
     From: Alan Musgrave (Logicism Revisited [1977], §4 n)
     A reaction: [He refers to Russell 1919:131-2] The Axiom of Infinity is controversial and non-logical.
6. Mathematics / C. Sources of Mathematics / 7. Formalism
Formalism seems to exclude all creative, growing mathematics [Musgrave]
     Full Idea: Formalism seems to exclude from consideration all creative, growing mathematics.
     From: Alan Musgrave (Logicism Revisited [1977], §5)
     A reaction: [He cites Lakatos in support] I am not immediately clear why spotting the remote implications of a formal system should be uncreative. The greatest chess players are considered to be highly creative and imaginative.
Formalism is a bulwark of logical positivism [Musgrave]
     Full Idea: Formalism is a bulwark of logical positivist philosophy.
     From: Alan Musgrave (Logicism Revisited [1977], §5)
     A reaction: Presumably if you drain all the empirical content out of arithmetic and geometry, you are only left with the bare formal syntax, of symbols and rules. That seems to be as analytic as you can get.
11. Knowledge Aims / A. Knowledge / 1. Knowledge
To know yet to think that one does not know is best [Laozi (Lao Tzu)]
     Full Idea: To know yet to think that one does not know is best.
     From: Laozi (Lao Tzu) (Daodejing (Tao Te Ching) [c.530 BCE], II.LXXI.173)
     A reaction: Tricky. Self-deception doesn't sound like a virtue to me. There are epistemic virtues, and caution about one's own knowledge has to be one of them, but a totally false assessment sounds counter-productive.
Pursuit of learning increases activity; the Way decreases it [Laozi (Lao Tzu)]
     Full Idea: In the pursuit of learning one knows more every day; in the pursuit of the Way one does less every day.
     From: Laozi (Lao Tzu) (Daodejing (Tao Te Ching) [c.530 BCE], II.XLVII.108)
     A reaction: Everything in my culture has raised the status of the pursuit of learning, so that I can hardly comprehend what is proposed by the Way. I don't believe that the Way can be achieved without great learning, but one might move beyond learning.
19. Language / A. Nature of Meaning / 5. Meaning as Verification
Logical positivists adopted an If-thenist version of logicism about numbers [Musgrave]
     Full Idea: Logical positivists did not adopt old-style logicism, but rather logicism spiced with varying doses of If-thenism.
     From: Alan Musgrave (Logicism Revisited [1977], §4)
     A reaction: This refers to their account of mathematics as a set of purely logical truths, rather than being either empirical, or a priori synthetic.
19. Language / F. Communication / 1. Rhetoric
Truth is not beautiful; beautiful speech is not truthful [Laozi (Lao Tzu)]
     Full Idea: Truthful words are not beautiful; beautiful words are not truthful.
     From: Laozi (Lao Tzu) (Daodejing (Tao Te Ching) [c.530 BCE], II.LXXXI.194)
     A reaction: A sharp disagreement with Keats ('Ode to a Grecian Urn'). A deep and important question, especially in relation to Plato's discussion of rhetoric (where he is very ambivalent). Great mathematics is beautiful. Truth can harsh. On the whole, I disagree.
22. Metaethics / B. Value / 2. Values / e. Death
One with no use for life is wiser than one who values it [Laozi (Lao Tzu)]
     Full Idea: It is just because one has no use for life that one is wiser than the man who values life.
     From: Laozi (Lao Tzu) (Daodejing (Tao Te Ching) [c.530 BCE], II.LXXV.181a)
     A reaction: To have no use for life certainly seems to put a person into a position of superiority, especially when the 'Titanic' is sinking. However, if our lives have no value, I don't know what does. A balance must clearly be struck.
22. Metaethics / B. Value / 2. Values / g. Love
Do good to him who has done you an injury [Laozi (Lao Tzu)]
     Full Idea: Do good to him who has done you an injury.
     From: Laozi (Lao Tzu) (Daodejing (Tao Te Ching) [c.530 BCE], II.LXIII.148)
     A reaction: Compare Idea 6288 (Jesus). People like this really mess up the social contract theory of morality. If they are going to return good for your evil, there doesn't seem much point in helping them, given how much effort is involved. Most peculiar…
23. Ethics / C. Virtue Theory / 1. Virtue Theory / a. Nature of virtue
The highest virtue is achieved without effort [Laozi (Lao Tzu)]
     Full Idea: Those of highest virtue do not strive for virtue, and so they have it.
     From: Laozi (Lao Tzu) (Daodejing (Tao Te Ching) [c.530 BCE], 38), quoted by Bryan van Norden - Intro to Classical Chinese Philosophy 8.II.2
     A reaction: Every moralist's dream is the person to whom virtue comes so naturally that no thought is required. This says they don't even notice it; Aristotle says they simply enjoying behaving virtuously.
23. Ethics / C. Virtue Theory / 2. Elements of Virtue Theory / c. Motivation for virtue
To gain in goodness, treat as good those who are good, and those who are not [Laozi (Lao Tzu)]
     Full Idea: Those who are good I treat as good; those who are not good I also treat as good; in doing so I gain in goodness.
     From: Laozi (Lao Tzu) (Daodejing (Tao Te Ching) [c.530 BCE], II.XLIX.111)
     A reaction: Socrates (idea 346) and Jesus (Idea 6288) had similar ideas. Who, though, is going to administer justice, and where is the idea that people 'deserve' good or ill treatment? Schoolteachers should treat all children as if they were good.
23. Ethics / C. Virtue Theory / 2. Elements of Virtue Theory / g. Desires
There is no crime greater than having too many desires [Laozi (Lao Tzu)]
     Full Idea: There is no crime greater than having too many desires.
     From: Laozi (Lao Tzu) (Daodejing (Tao Te Ching) [c.530 BCE], II.XLVI.104)
     A reaction: It seems harsh to call this a 'crime', given that no one is likely to choose to have 'too many' desires. The crime is in deciding to stimulate desire to excess, or deciding to show no sensible restraint.
23. Ethics / C. Virtue Theory / 3. Virtues / a. Virtues
The six perfections are giving, morality, patience, vigour, meditation, and wisdom [Nagarjuna]
     Full Idea: The six perfections are of giving, morality, patience, vigour, meditation, and wisdom.
     From: Nagarjuna (Mahaprajnaparamitashastra [c.120], 88)
     A reaction: What is 'morality', if giving is not part of it? I like patience and vigour being two of the virtues, which immediately implies an Aristotelian mean (which is always what is 'appropriate').
24. Political Theory / C. Ruling a State / 2. Leaders / a. Autocracy
The best rulers are invisible, the next admired, the next feared, and the worst are exploited [Laozi (Lao Tzu)]
     Full Idea: The best of all rulers is but a shadowy presence to his subjects; next comes the ruler they love and praise; next comes one they fear; next comes one with whom they take liberties.
     From: Laozi (Lao Tzu) (Daodejing (Tao Te Ching) [c.530 BCE], I.XVII.39)
     A reaction: This fits our understanding of football referees to perfection. It might apply to anyone doing a vital adminstrative job, such as compiling a school timetable. It is hard, though, to accept anonymity as a mark of success.
24. Political Theory / C. Ruling a State / 3. Government / a. Government
People are hard to govern because authorities love to do things [Laozi (Lao Tzu)]
     Full Idea: It is because those in authority are too fond of action that the people are difficult to govern.
     From: Laozi (Lao Tzu) (Daodejing (Tao Te Ching) [c.530 BCE], II.LXXV.181)
     A reaction: I love this. It should be on the wall of every human institution in our civilization. How the heart sinks at the prospect of a 'new initiative'. Not that I am against action; it is just important to recognise that inaction is sometimes the best option.
25. Social Practice / D. Justice / 2. The Law / a. Legal system
The better known the law, the more criminals there are [Laozi (Lao Tzu)]
     Full Idea: The better known the laws and edicts, the more thieves and robbers there are.
     From: Laozi (Lao Tzu) (Daodejing (Tao Te Ching) [c.530 BCE], II.LVII.132)
     A reaction: Nice. I link this with my favourite moral maxim from Democritus (Idea 519). The idea is that continual emphasis on what you should not do fills the mind with evil possibilities. Moral perfection must start by taking goodness for granted.
25. Social Practice / E. Policies / 1. War / e. Peace
A military victory is not a thing of beauty [Laozi (Lao Tzu)]
     Full Idea: A military victory is not a thing of beauty.
     From: Laozi (Lao Tzu) (Daodejing (Tao Te Ching) [c.530 BCE], 31), quoted by Bryan van Norden - Intro to Classical Chinese Philosophy 8.II.1
     A reaction: Should be written on the wall of every military academy and barracks.