Combining Texts

All the ideas for 'On the Question of Absolute Undecidability', 'Inquiry Concerning Virtue or Merit' and 'Virtue Ethics: an Introduction'

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21 ideas

4. Formal Logic / F. Set Theory ST / 1. Set Theory
Mathematical set theory has many plausible stopping points, such as finitism, and predicativism [Koellner]
     Full Idea: There are many coherent stopping points in the hierarchy of increasingly strong mathematical systems, starting with strict finitism, and moving up through predicativism to the higher reaches of set theory.
     From: Peter Koellner (On the Question of Absolute Undecidability [2006], Intro)
'Reflection principles' say the whole truth about sets can't be captured [Koellner]
     Full Idea: Roughly speaking, 'reflection principles' assert that anything true in V [the set hierarchy] falls short of characterising V in that it is true within some earlier level.
     From: Peter Koellner (On the Question of Absolute Undecidability [2006], 2.1)
5. Theory of Logic / K. Features of Logics / 5. Incompleteness
We have no argument to show a statement is absolutely undecidable [Koellner]
     Full Idea: There is at present no solid argument to the effect that a given statement is absolutely undecidable.
     From: Peter Koellner (On the Question of Absolute Undecidability [2006], 5.3)
6. Mathematics / A. Nature of Mathematics / 5. The Infinite / i. Cardinal infinity
There are at least eleven types of large cardinal, of increasing logical strength [Koellner]
     Full Idea: Some of the standard large cardinals (in order of increasing (logical) strength) are: inaccessible, Mahlo, weakly compact, indescribable, Erdös, measurable, strong, Wodin, supercompact, huge etc. (...and ineffable).
     From: Peter Koellner (On the Question of Absolute Undecidability [2006], 1.4)
     A reaction: [I don't understand how cardinals can have 'logical strength', but I pass it on anyway]
6. Mathematics / B. Foundations for Mathematics / 4. Axioms for Number / d. Peano arithmetic
PA is consistent as far as we can accept, and we expand axioms to overcome limitations [Koellner]
     Full Idea: To the extent that we are justified in accepting Peano Arithmetic we are justified in accepting its consistency, and so we know how to expand the axiom system so as to overcome the limitation [of Gödel's Second Theorem].
     From: Peter Koellner (On the Question of Absolute Undecidability [2006], 1.1)
     A reaction: Each expansion brings a limitation, but then you can expand again.
6. Mathematics / B. Foundations for Mathematics / 4. Axioms for Number / g. Incompleteness of Arithmetic
Arithmetical undecidability is always settled at the next stage up [Koellner]
     Full Idea: The arithmetical instances of undecidability that arise at one stage of the hierarchy are settled at the next.
     From: Peter Koellner (On the Question of Absolute Undecidability [2006], 1.4)
22. Metaethics / A. Ethics Foundations / 1. Nature of Ethics / d. Ethical theory
Kant and Mill both try to explain right and wrong, without a divine lawgiver [Taylor,R]
     Full Idea: Kant and Mill were in total agreement in trying to give content to the distinction between moral right and wrong, without recourse to any divine lawgiver.
     From: Richard Taylor (Virtue Ethics: an Introduction [2002], Ch.14)
     A reaction: A nice analysis, in tune with MacIntyre and others, who see such attempts as failures. It is hard, however, to deny the claims of rational principles, or of suffering, in our moral framework. I agree with Taylor's move back to virtue, but it ain't simple.
Morality based on 'forbid', 'permit' and 'require' implies someone who does these things [Taylor,R]
     Full Idea: If morality is based on wrong (meaning 'forbidden'), right ('permitted'), and obligatory ('required'), we are led to ask 'Who is it that thus permits, forbids or requires that certain things be done or not done?'
     From: Richard Taylor (Virtue Ethics: an Introduction [2002], Ch.2)
     A reaction: Clear reinforcement for Nietzsche's attack on conventional morals, which Taylor sees as a relic of medieval religious attitudes. Taylor says Kant offered a non-religious version of the same authority. I agree. Back to the Greek pursuit of excellence!
22. Metaethics / A. Ethics Foundations / 2. Source of Ethics / c. Ethical intuitionism
Fear of God is not conscience, which is a natural feeling of offence at bad behaviour [Shaftesbury]
     Full Idea: Conscience is to find horribly offensive the reflection of any unjust action or behaviour; to have awe and terror of the Deity, does not, of itself, imply conscience; …thus religious conscience supposes moral or natural conscience.
     From: 3rd Earl of Shaftesbury (Inquiry Concerning Virtue or Merit [1699], II.II.I)
     A reaction: The reply from religion would be that the Deity has implanted natural conscience in each creature, though this seems to deny our freedom of moral judgment. Personally I am inclined to think that values are just observations of the world - such as health.
22. Metaethics / A. Ethics Foundations / 2. Source of Ethics / h. Expressivism
If an irrational creature with kind feelings was suddenly given reason, its reason would approve of kind feelings [Shaftesbury]
     Full Idea: If a creature wanting reason has many good qualities and affections, it is certain that if you give this creature a reflecting faculty, it will at the same instant approve of gratitude, kindness and pity.
     From: 3rd Earl of Shaftesbury (Inquiry Concerning Virtue or Merit [1699], I.III.III)
     A reaction: A wonderful denunciation of the authority of reason, which must have influenced David Hume. I think, though, that the inverse of this case must be considered (if suddenly given feelings, they would fall in line with reasoning). We reason about feelings.
22. Metaethics / C. The Good / 1. Goodness / g. Consequentialism
A person isn't good if only tying their hands prevents their mischief, so the affections decide a person's morality [Shaftesbury]
     Full Idea: We do not say that he is a good man when, having his hands tied up, he is hindered from doing the mischief he designs; …hence it is by affection merely that a creature is esteemed good or ill, natural or unnatural.
     From: 3rd Earl of Shaftesbury (Inquiry Concerning Virtue or Merit [1699], I.II.I)
     A reaction: Note that he more or less equates being morally 'ill' with being 'unnatural'. We tend to reserve 'unnatural' for extreme or perverse crimes. Personally I would place more emphasis on evil judgements, and less on evil feelings.
22. Metaethics / C. The Good / 2. Happiness / a. Nature of happiness
Pleasure can have a location, and be momentary, and come and go - but happiness can't [Taylor,R]
     Full Idea: Pleasures can be located in a particular part of the body, and can be momentary, and come and go, but this is not the case with happiness.
     From: Richard Taylor (Virtue Ethics: an Introduction [2002], Ch.16)
     A reaction: Probably no one ever thought that pleasure and happiness were actually identical - merely that pleasure is the only cause and source of happiness. These are good objections to that hypothesis. Pleasure simply isn't 'the good'.
22. Metaethics / C. The Good / 2. Happiness / b. Eudaimonia
'Eudaimonia' means 'having a good demon', implying supreme good fortune [Taylor,R]
     Full Idea: The word 'eudaimonia' means literally 'having a good demon', which is apt, because it suggests some kind of supreme good fortune, of the sort which might be thought of as a bestowal.
     From: Richard Taylor (Virtue Ethics: an Introduction [2002], Ch.5)
     A reaction: Beware of etymology. This implies that eudaimonia is almost entirely beyond a person's control, but Aristotle doesn't think that. A combination of education and effort can build on some natural gifts to create a fully successful life.
22. Metaethics / C. The Good / 3. Pleasure / d. Sources of pleasure
People more obviously enjoy social pleasures than they do eating and drinking [Shaftesbury]
     Full Idea: How much the social pleasures are superior to any other may be known by visible tokens and effects; the marks and signs which attend this sort of joy are more intense and clear than those which attend the satisfaction of thirst and hunger.
     From: 3rd Earl of Shaftesbury (Inquiry Concerning Virtue or Merit [1699], II.II.I)
     A reaction: He presumably refers to smiles and laughter, but they could be misleading as they are partly a means of social communication. You should ask people whether they would prefer a nice conversation or a good pork chop. Nice point, though.
23. Ethics / A. Egoism / 1. Ethical Egoism
Self-interest is not intrinsically good, but its absence is evil, as public good needs it [Shaftesbury]
     Full Idea: Though no creature can be called good merely for possessing the self-preserving affections, it is impossible that public good can be preserved without them; so that a creature wanting in them is wanting in natural rectitude, and may be esteemed vicious.
     From: 3rd Earl of Shaftesbury (Inquiry Concerning Virtue or Merit [1699], II.I.III)
     A reaction: Aristotle held a similar view (Idea 92). I think maybe Shaftesbury was the last call of the Aristotelians, before being engulfed by utilitarians and Kantians. This idea is at the core of capitalism.
23. Ethics / C. Virtue Theory / 1. Virtue Theory / b. Basis of virtue
Every creature has a right and a wrong state which guide its actions, so there must be a natural end [Shaftesbury]
     Full Idea: We know there is a right and a wrong state of every creature; and that his right one is by nature forwarded, and by himself affectionately sought. There being therefore in every creature a certain interest or good; there must also be a natural end.
     From: 3rd Earl of Shaftesbury (Inquiry Concerning Virtue or Merit [1699], I.II.I)
     A reaction: This is an early modern statement of Aristotelian teleology, just at the point where it was falling out of fashion. The underlying concept is that of right function. I agree with Shaftesbury, but you can't stop someone damaging their health.
To Greeks it seemed obvious that the virtue of anything is the perfection of its function [Taylor,R]
     Full Idea: To the Greeks it seemed obvious that the virtue of anything is the perfection of its function.
     From: Richard Taylor (Virtue Ethics: an Introduction [2002], Ch.10)
     A reaction: A problem case might be a work of art, but one might reply that there is no obvious perfection there because there is no clear function. For artefacts and organisms the principle seems very good. But 'Is the Cosmos good?'
23. Ethics / D. Deontological Ethics / 1. Deontology
The modern idea of obligation seems to have lost the idea of an obligation 'to' something [Taylor,R]
     Full Idea: In modern moral thinking, obligation is something every responsible person is supposed to have, but it is not an obligation to the state, or society, or humanity, or even to God. It is an obligation standing by itself.
     From: Richard Taylor (Virtue Ethics: an Introduction [2002], Ch.12)
     A reaction: This nicely pinpoints how some our moral attitudes are relics of religion. Taylor wants a return to virtue, but one could respond by opting for the social contract (with very clear obligations) or Kantian 'contractualism' (answering to rational beings).
23. Ethics / D. Deontological Ethics / 2. Duty
If we are made in God's image, pursuit of excellence is replaced by duty to obey God [Taylor,R]
     Full Idea: Once people are declared to be images of God, just by virtue of minimal humanity, they have, therefore, no greater individual excellence to aspire to, and their purpose became one of obligation, that is, obedience to God's will.
     From: Richard Taylor (Virtue Ethics: an Introduction [2002], Ch.2)
     A reaction: An interesting and plausible historical analysis. There is a second motivation for the change, though, in Grotius's desire to develop a more legalistic morality, focusing on actions rather than character. Taylor's point is more interesting, though.
The ethics of duty requires a religious framework [Taylor,R]
     Full Idea: The ethics of duty cannot be sustained independently of a religious framework.
     From: Richard Taylor (Virtue Ethics: an Introduction [2002], Ch.2)
     A reaction: This is a big challenge to Kant, echoing Nietzsche's jibe that Kant just wanted to be 'obedient'. The only options are either 'natural duties', or 'duties of reason'. Reason may have a pull (like pleasure), but a 'duty'? Difficult.
28. God / A. Divine Nature / 6. Divine Morality / b. Euthyphro question
For Shaftesbury, we must already have a conscience to be motivated to religious obedience [Shaftesbury, by Scruton]
     Full Idea: Shaftesbury argued that no morality could be founded in religious obedience, or piety. On the contrary, a man is motivated to such obedience only because conscience tells him that the divine being is worthy of it.
     From: report of 3rd Earl of Shaftesbury (Inquiry Concerning Virtue or Merit [1699]) by Roger Scruton - Short History of Modern Philosophy Ch.8
     A reaction: This seems to me a good argument. The only alternative is that we are brought to God by a conscience which was planted in us by God, but then how would you know you were being obedient to the right hypnotist?