Combining Texts

All the ideas for 'Axiomatic Theories of Truth (2005 ver)', 'Daodejing (Tao Te Ching)' and 'Course of Positive Philosophy'

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26 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.
1. Philosophy / G. Scientific Philosophy / 2. Positivism
The phases of human thought are theological, then metaphysical, then positivist [Comte, by Watson]
     Full Idea: The first phase of humanity was theological, attributing phenomena to a deity, the second metaphysical stage attributed them to abstract forms, the third positive stage abandons ultimate causes and just searches for regularities.
     From: report of Auguste Comte (Course of Positive Philosophy [1846]) by Peter Watson - Ideas Ch.32
     A reaction: This is obviously a highly empirical programme, which reasserts Hume's view of the laws of nature. Effectively, positivism just is the rejection of metaphysics.
3. Truth / A. Truth Problems / 2. Defining Truth
Truth definitions don't produce a good theory, because they go beyond your current language [Halbach]
     Full Idea: It is far from clear that a definition of truth can lead to a philosophically satisfactory theory of truth. Tarski's theorem on the undefinability of the truth predicate needs resources beyond those of the language for which it is being defined.
     From: Volker Halbach (Axiomatic Theories of Truth (2005 ver) [2005], 1)
     A reaction: The idea is that you need a 'metalanguage' for the definition. If I say 'p' is a true sentence in language 'L', I am not making that observation from within language L. The dream is a theory confined to the object language.
3. Truth / F. Semantic Truth / 1. Tarski's Truth / c. Meta-language for truth
In semantic theories of truth, the predicate is in an object-language, and the definition in a metalanguage [Halbach]
     Full Idea: In semantic theories of truth (Tarski or Kripke), a truth predicate is defined for an object-language. This definition is carried out in a metalanguage, which is typically taken to include set theory or another strong theory or expressive language.
     From: Volker Halbach (Axiomatic Theories of Truth (2005 ver) [2005], 1)
     A reaction: Presumably the metalanguage includes set theory because that connects it with mathematics, and enables it to be formally rigorous. Tarski showed, in his undefinability theorem, that the meta-language must have increased resources.
3. Truth / G. Axiomatic Truth / 1. Axiomatic Truth
Should axiomatic truth be 'conservative' - not proving anything apart from implications of the axioms? [Halbach]
     Full Idea: If truth is not explanatory, truth axioms should not allow proof of new theorems not involving the truth predicate. It is hence said that axiomatic truth should be 'conservative' - not implying further sentences beyond what the axioms can prove.
     From: Volker Halbach (Axiomatic Theories of Truth (2005 ver) [2005], 1.3)
     A reaction: [compressed]
If truth is defined it can be eliminated, whereas axiomatic truth has various commitments [Halbach]
     Full Idea: If truth can be explicitly defined, it can be eliminated, whereas an axiomatized notion of truth may bring all kinds of commitments.
     From: Volker Halbach (Axiomatic Theories of Truth (2005 ver) [2005], 1.3)
     A reaction: The general principle that anything which can be defined can be eliminated (in an abstract theory, presumably, not in nature!) raises interesting questions about how many true theories there are which are all equivalent to one another.
Axiomatic theories of truth need a weak logical framework, and not a strong metatheory [Halbach]
     Full Idea: Axiomatic theories of truth can be presented within very weak logical frameworks which require very few resources, and avoid the need for a strong metalanguage and metatheory.
     From: Volker Halbach (Axiomatic Theories of Truth (2005 ver) [2005], 1)
Instead of a truth definition, add a primitive truth predicate, and axioms for how it works [Halbach]
     Full Idea: The axiomatic approach does not presuppose that truth can be defined. Instead, a formal language is expanded by a new primitive predicate of truth, and axioms for that predicate are then laid down.
     From: Volker Halbach (Axiomatic Theories of Truth (2005 ver) [2005], 1)
     A reaction: Idea 15647 explains why Halbach thinks the definition route is no good.
3. Truth / H. Deflationary Truth / 2. Deflationary Truth
Deflationists say truth merely serves to express infinite conjunctions [Halbach]
     Full Idea: According to many deflationists, truth serves merely the purpose of expressing infinite conjunctions.
     From: Volker Halbach (Axiomatic Theories of Truth (2005 ver) [2005], 1.3)
     A reaction: That is, it asserts sentences that are too numerous to express individually. It also seems, on a deflationist view, to serve for anaphoric reference to sentences, such as 'what she just said is true'.
4. Formal Logic / F. Set Theory ST / 1. Set Theory
To prove the consistency of set theory, we must go beyond set theory [Halbach]
     Full Idea: The consistency of set theory cannot be established without assumptions transcending set theory.
     From: Volker Halbach (Axiomatic Theories of Truth (2005 ver) [2005], 2.1)
5. Theory of Logic / C. Ontology of Logic / 1. Ontology of Logic
We can use truth instead of ontologically loaded second-order comprehension assumptions about properties [Halbach]
     Full Idea: The reduction of 2nd-order theories (of properties or sets) to axiomatic theories of truth may be conceived as a form of reductive nominalism, replacing existence assumptions (for comprehension axioms) by ontologically innocent truth assumptions.
     From: Volker Halbach (Axiomatic Theories of Truth (2005 ver) [2005], 1.1)
     A reaction: I like this very much, as weeding properties out of logic (without weeding them out of the world). So-called properties in logic are too abundant, so there is a misfit with their role in science.
5. Theory of Logic / E. Structures of Logic / 7. Predicates in Logic
Instead of saying x has a property, we can say a formula is true of x - as long as we have 'true' [Halbach]
     Full Idea: Quantification over (certain) properties can be mimicked in a language with a truth predicate by quantifying over formulas. Instead of saying that Tom has the property of being a poor philosopher, we can say 'x is a poor philosopher' is true of Tom.
     From: Volker Halbach (Axiomatic Theories of Truth (2005 ver) [2005], 1.1)
     A reaction: I love this, and think it is very important. He talks of 'mimicking' properties, but I see it as philosophers mistakenly attributing properties, when actually what they were doing is asserting truths involving certain predicates.
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 / 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.
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.