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All the ideas for 'Axiomatic Theories of Truth (2005 ver)', 'On the Natural Faculties' and 'Treatise 2: Virtue or Moral Good'

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25 ideas

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.
15. Nature of Minds / C. Capacities of Minds / 1. Faculties
We just use the word 'faculty' when we don't know the psychological cause [Galen]
     Full Idea: So long as we are ignorant of the true essence of the cause which is operating, we call it a 'faculty'.
     From: Galen (On the Natural Faculties [c.170], I.iv), quoted by Dominik Perler - Intro to The Faculties: a History 2
     A reaction: This is probably the view of most modern neuroscientists. I want to defend the idea that we need the concept of a faculty in philosophy, even if the psychologists and neuroscientists say it is too vague for their purposes.
20. Action / C. Motives for Action / 3. Acting on Reason / b. Intellectualism
Reason is too slow and doubtful to guide all actions, which need external and moral senses [Hutcheson]
     Full Idea: We boast of our mighty reason above other animals, but its processes are too slow, too full of doubt, to serve us in every exigency, either for our preservation, without external senses, or to influence our actions for good without the moral sense.
     From: Francis Hutcheson (Treatise 2: Virtue or Moral Good [1725], §VII.III)
     A reaction: This idea was taken up by Hume, and it must have influence Hume's general scepticism about the importance of reason. What this idea misses is the enormous influence of prior reasoning on our quick decisions.
22. Metaethics / A. Ethics Foundations / 2. Source of Ethics / c. Ethical intuitionism
We approve of actions by a superior moral sense [Hutcheson]
     Full Idea: By a superior sense, which I call a moral one, we approve the actions of others.
     From: Francis Hutcheson (Treatise 2: Virtue or Moral Good [1725], Intro)
     A reaction: This tries to present moral insight as being on a par with the famous five senses. This doesn't seem quite right to me; separate parts of me can operate individual senses, but the whole of me is required for moral judgements, based on evidence.
We dislike a traitor, even if they give us great benefit [Hutcheson]
     Full Idea: Let us consider if a traitor, who would sell his own country to us, may not often be as advantageous to us, as an hero who defends us: and yet we can love the treason, and hate the traitor.
     From: Francis Hutcheson (Treatise 2: Virtue or Moral Good [1725], §I.VI)
     A reaction: A nice example, which certainly refutes any claim that morality is entirely and directly self-interested. High-minded idealism, though, is not the only alternative explanation. We admire loyalty, but not loyalty to, say, Hitler.
The moral sense is not an innate idea, but an ability to approve or disapprove in a disinterested way [Hutcheson]
     Full Idea: The moral sense is not an innate idea or knowledge, but a determination of our minds to receive the simple ideas of approbation or condemnation, from actions observed, antecedent to any opinions of advantage or loss to redound to ourselves.
     From: Francis Hutcheson (Treatise 2: Virtue or Moral Good [1725], §I.VIII)
     A reaction: This may claim a pure moral intuition, but it is also close to Kantian universalising of the rules for behaviour. It is also a variation on Descartes' 'natural light' of reason. Of course, if we say the ideas are 'received', where are they received from?
We cannot choose our moral feelings, otherwise bribery could affect them [Hutcheson]
     Full Idea: Neither benevolence nor any other affection or desire can be directly raised by volition; if they could, then we could be bribed into any affection whatsoever toward any object.
     From: Francis Hutcheson (Treatise 2: Virtue or Moral Good [1725], §II.IV)
     A reaction: Of course, notoriously, the vast mass of people have often been bribed to love a politician, by low taxes, or bread and circuses. Still, you cannot choose to love or admire someone, you just do. Not much free will there.
Everyone feels uneasy when seeing others in pain, unless the others are evil [Hutcheson]
     Full Idea: Every mortal is made uneasy by any grievous misery he sees another involved in, unless the person be imagined morally evil.
     From: Francis Hutcheson (Treatise 2: Virtue or Moral Good [1725], §V.VIII)
     A reaction: This is the natural compassion on which Hume built his moral theory. This remark emphasises that a concern for justice is just as important as a compassion for pain. Kant was more interested in what we deserve than in what we get.
22. Metaethics / B. Value / 2. Values / f. Altruism
Human nature seems incapable of universal malice, except what results from self-love [Hutcheson]
     Full Idea: Human nature seems scarce capable of malicious disinterested hatred, or an ultimate desire of the misery of others, when we imagine them not pernicious to us, or opposite to our interests; ..that is only the effect of self-love, not disinterested malice.
     From: Francis Hutcheson (Treatise 2: Virtue or Moral Good [1725], §II.VII)
     A reaction: I suppose it is true that even the worst criminals brooding in prison don't wish the entire population of some foreign country to die in pain. Only a very freakish person would wish the human race were extinct. A very nice observation.
22. Metaethics / B. Value / 2. Values / i. Self-interest
As death approaches, why do we still care about family, friends or country? [Hutcheson]
     Full Idea: How comes it that we do not lose, at the approach of death, all concern for our families, friends, or country?
     From: Francis Hutcheson (Treatise 2: Virtue or Moral Good [1725], §II.V)
     A reaction: A nice question. No doubt some people do cease to care, but on the whole it raises the 'last round' problem in social contract theory, which is why fulfil your part of a bargain if it is too late to receive the repayment afterwards?
22. Metaethics / C. The Good / 1. Goodness / g. Consequentialism
My action is not made good by a good effect, if I did not foresee and intend it [Hutcheson]
     Full Idea: No good effect, which I did not actually foresee and intend, makes my action morally good.
     From: Francis Hutcheson (Treatise 2: Virtue or Moral Good [1725], §III.XII)
     A reaction: This is one of the parents of utilitarianism repudiating pure consequentialism. Bentham sharply divided the action (which is consequentialist) from the person (who has useful intentions, but is not particulary important); this division is misleading.
23. Ethics / C. Virtue Theory / 3. Virtues / d. Courage
Contempt of danger is just madness if it is not in some worthy cause [Hutcheson]
     Full Idea: Mere courage, or contempt of danger, if we conceive it to have no regard to the defence of the innocent, or repairing of wrongs or self-interest, would only entitle its possessor to bedlam.
     From: Francis Hutcheson (Treatise 2: Virtue or Moral Good [1725], §II.I)
     A reaction: If many criminals would love to rob a bank, but only a few have the nerve to attempt it, we can hardly deny that the latter exhibit a sort of courage. The Greeks say that good sense must be involved, but few of them were so moral about courage.
23. Ethics / E. Utilitarianism / 1. Utilitarianism
That action is best, which procures the greatest happiness for the greatest number [Hutcheson]
     Full Idea: That action is best, which procures the greatest happiness for the greatest number; and that worst, which, in like manner, occasions misery.
     From: Francis Hutcheson (Treatise 2: Virtue or Moral Good [1725], §III.VIII)
     A reaction: The first use of a phrase taken up by Bentham. This is not just an anticipation of utilitarianism, it is utilitarianism, with all its commitment to consequentialism (but see Idea 6246), and to the maximising of happiness. It is a brilliant idea.
25. Social Practice / C. Rights / 1. Basis of Rights
The loss of perfect rights causes misery, but the loss of imperfect rights reduces social good [Hutcheson]
     Full Idea: Perfect rights are necessary to the public good, and it makes those miserable whose rights are thus violated; …imperfect rights tend to the improvement and increase of good in a society, but are not necessary to prevent universal misery.
     From: Francis Hutcheson (Treatise 2: Virtue or Moral Good [1725], §VII.VI)
     A reaction: This is a very utilitarian streak in Hutcheson, converting natural law into its tangible outcome in actual happiness or misery. The distinction here is interesting (taken up by Mill), but there is a very blurred borderline.
28. God / A. Divine Nature / 6. Divine Morality / c. God is the good
We say God is good if we think everything he does aims at the happiness of his creatures [Hutcheson]
     Full Idea: We call the Deity morally good, when we apprehend that his whole providence tends to the universal happiness of his creatures.
     From: Francis Hutcheson (Treatise 2: Virtue or Moral Good [1725], §VII.V)
     A reaction: From the point of view of eternity, we might accept that God aims at some even greater good than the happiness of a bunch of miserable little creatures whose bad behaviour merits little reward. The greater good needs to be impressive, though.
28. God / A. Divine Nature / 6. Divine Morality / d. God decrees morality
If goodness is constituted by God's will, it is a tautology to say God's will is good [Hutcheson]
     Full Idea: To call the laws of the supreme Deity good or holy or just, if these be constituted by laws, or the will of a superior, must be an insignificant tautology, amounting to no more than 'God wills what he wills' or 'His will is conformable to his will'.
     From: Francis Hutcheson (Treatise 2: Virtue or Moral Good [1725], §VII.V)
     A reaction: This argues not only against God as the source of morality, but also against any rules, such as those of the Categorical Imperative. Why should I follow the Categorical Imperative? What has value must dictate the rules. Is obedience the highest value?