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All the ideas for 'On the Question of Absolute Undecidability', 'Virtues of the Mind' and 'On Formally Undecidable Propositions'

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58 ideas

1. Philosophy / A. Wisdom / 1. Nature of Wisdom
Unlike knowledge, wisdom cannot be misused [Zagzebski]
     Full Idea: A distinctive mark of wisdom is that it cannot be misused, whereas knowledge surely can be misused.
     From: Linda Trinkaus Zagzebski (Virtues of the Mind [1996], I 1.2)
     A reaction: She will argue, with Aristotle, that this is because wisdom (and maybe 'true' knowledge) must include 'phronesis' (practical wisdom), which is the key to all the virtues, intellectual and moral. This idea is striking, and obviously correct.
1. Philosophy / A. Wisdom / 2. Wise People
Wisdom is the property of a person, not of their cognitive state [Zagzebski, by Whitcomb]
     Full Idea: Zagzebski takes wisdom as literally properties of persons, not persons' cognitive states.
     From: report of Linda Trinkaus Zagzebski (Virtues of the Mind [1996], p.59-60) by Dennis Whitcomb - Wisdom 'Twofold'
     A reaction: Not sure about this. Zagzebski uses this idea to endorse epistemic virtue. But knowledge and ignorance are properties of persons too. There can be, though, a precise mental state involved in knowledge, but not in wisdom.
2. Reason / D. Definition / 2. Aims of Definition
Precision is only one of the virtues of a good definition [Zagzebski]
     Full Idea: Precision is but one virtue of a definition, one that must be balanced against simplicity, elegance, conciseness, theoretical illumination, and practical usefulness.
     From: Linda Trinkaus Zagzebski (Virtues of the Mind [1996], III 2.1)
     A reaction: Illumination looks like the dream virtue for a good definition. Otherwise it is just ticked as accurate and stowed away. 'True justified belief' is a very illuminating definition of knowledge - if it is right. But it's not very precise.
2. Reason / E. Argument / 1. Argument
Objection by counterexample is weak, because it only reveals inaccuracies in one theory [Zagzebski]
     Full Idea: Objection by counterexample is the weakest sort of attack a theory can undergo. Even when the objection succeeds, it shows only that a theory fails to achieve complete accuracy. It does not distinguish among the various rival theories.
     From: Linda Trinkaus Zagzebski (Virtues of the Mind [1996], III 2.1)
     A reaction: Typically counterexamples are used to refute universal generalisations (i.e. by 'falsification'), but canny theorists avoid those, or slip in a qualifying clause. Counterexamples are good for exploring a theory's coverage.
3. Truth / F. Semantic Truth / 1. Tarski's Truth / a. Tarski's truth definition
Prior to Gödel we thought truth in mathematics consisted in provability [Gödel, by Quine]
     Full Idea: Gödel's proof wrought an abrupt turn in the philosophy of mathematics. We had supposed that truth, in mathematics, consisted in provability.
     From: report of Kurt Gödel (On Formally Undecidable Propositions [1931]) by Willard Quine - Forward to Gödel's Unpublished
     A reaction: This explains the crisis in the early 1930s, which Tarski's theory appeared to solve.
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)
4. Formal Logic / F. Set Theory ST / 4. Axioms for Sets / a. Axioms for sets
Gödel show that the incompleteness of set theory was a necessity [Gödel, by Hallett,M]
     Full Idea: Gödel's incompleteness results of 1931 show that all axiom systems precise enough to satisfy Hilbert's conception are necessarily incomplete.
     From: report of Kurt Gödel (On Formally Undecidable Propositions [1931]) by Michael Hallett - Introduction to Zermelo's 1930 paper p.1215
     A reaction: [Hallett italicises 'necessarily'] Hilbert axioms have to be recursive - that is, everything in the system must track back to them.
5. Theory of Logic / K. Features of Logics / 1. Axiomatisation
The limitations of axiomatisation were revealed by the incompleteness theorems [Gödel, by Koellner]
     Full Idea: The inherent limitations of the axiomatic method were first brought to light by the incompleteness theorems.
     From: report of Kurt Gödel (On Formally Undecidable Propositions [1931]) by Peter Koellner - On the Question of Absolute Undecidability 1.1
5. Theory of Logic / K. Features of Logics / 2. Consistency
Second Incompleteness: nice theories can't prove their own consistency [Gödel, by Smith,P]
     Full Idea: Second Incompleteness Theorem: roughly, nice theories that include enough basic arithmetic can't prove their own consistency.
     From: report of Kurt Gödel (On Formally Undecidable Propositions [1931]) by Peter Smith - Intro to Gödel's Theorems 1.5
     A reaction: On the face of it, this sounds less surprising than the First Theorem. Philosophers have often noticed that it seems unlikely that you could use reason to prove reason, as when Descartes just relies on 'clear and distinct ideas'.
5. Theory of Logic / K. Features of Logics / 3. Soundness
If soundness can't be proved internally, 'reflection principles' can be added to assert soundness [Gödel, by Halbach/Leigh]
     Full Idea: Gödel showed PA cannot be proved consistent from with PA. But 'reflection principles' can be added, which are axioms partially expressing the soundness of PA, by asserting what is provable. A Global Reflection Principle asserts full soundness.
     From: report of Kurt Gödel (On Formally Undecidable Propositions [1931]) by Halbach,V/Leigh,G.E. - Axiomatic Theories of Truth (2013 ver) 1.2
     A reaction: The authors point out that this needs a truth predicate within the language, so disquotational truth won't do, and there is a motivation for an axiomatic theory of truth.
5. Theory of Logic / K. Features of Logics / 5. Incompleteness
Gödel's First Theorem sabotages logicism, and the Second sabotages Hilbert's Programme [Smith,P on Gödel]
     Full Idea: Where Gödel's First Theorem sabotages logicist ambitions, the Second Theorem sabotages Hilbert's Programme.
     From: comment on Kurt Gödel (On Formally Undecidable Propositions [1931]) by Peter Smith - Intro to Gödel's Theorems 36
     A reaction: Neo-logicism (Crispin Wright etc.) has a strategy for evading the First Theorem.
The undecidable sentence can be decided at a 'higher' level in the system [Gödel]
     Full Idea: My undecidable arithmetical sentence ...is not at all absolutely undecidable; rather, one can always pass to 'higher' systems in which the sentence in question is decidable.
     From: Kurt Gödel (On Formally Undecidable Propositions [1931]), quoted by Peter Koellner - On the Question of Absolute Undecidability 1.1
     A reaction: [a 1931 MS] He says the reals are 'higher' than the naturals, and the axioms of set theory are higher still. The addition of a truth predicate is part of what makes the sentence become decidable.
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 / 1. Mathematics
There can be no single consistent theory from which all mathematical truths can be derived [Gödel, by George/Velleman]
     Full Idea: Gödel's far-reaching work on the nature of logic and formal systems reveals that there can be no single consistent theory from which all mathematical truths can be derived.
     From: report of Kurt Gödel (On Formally Undecidable Propositions [1931]) by A.George / D.J.Velleman - Philosophies of Mathematics Ch.8
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
Gödel showed that arithmetic is either incomplete or inconsistent [Gödel, by Rey]
     Full Idea: Gödel's theorem states that either arithmetic is incomplete, or it is inconsistent.
     From: report of Kurt Gödel (On Formally Undecidable Propositions [1931]) by Georges Rey - Contemporary Philosophy of Mind 8.7
First Incompleteness: arithmetic must always be incomplete [Gödel, by Smith,P]
     Full Idea: First Incompleteness Theorem: any properly axiomatised and consistent theory of basic arithmetic must remain incomplete, whatever our efforts to complete it by throwing further axioms into the mix.
     From: report of Kurt Gödel (On Formally Undecidable Propositions [1931]) by Peter Smith - Intro to Gödel's Theorems 1.2
     A reaction: This is because it is always possible to formulate a well-formed sentence which is not provable within the theory.
Arithmetical truth cannot be fully and formally derived from axioms and inference rules [Gödel, by Nagel/Newman]
     Full Idea: The vast continent of arithmetical truth cannot be brought into systematic order by laying down a fixed set of axioms and rules of inference from which every true mathematical statement can be formally derived. For some this was a shocking revelation.
     From: report of Kurt Gödel (On Formally Undecidable Propositions [1931]) by E Nagel / JR Newman - Gödel's Proof VII.C
     A reaction: Good news for philosophy, I'd say. The truth cannot be worked out by mechanical procedures, so it needs the subtle and intuitive intelligence of your proper philosopher (Parmenides is the role model) to actually understand reality.
Gödel's Second says that semantic consequence outruns provability [Gödel, by Hanna]
     Full Idea: Gödel's Second Incompleteness Theorem says that true unprovable sentences are clearly semantic consequences of the axioms in the sense that they are necessarily true if the axioms are true. So semantic consequence outruns provability.
     From: report of Kurt Gödel (On Formally Undecidable Propositions [1931]) by Robert Hanna - Rationality and Logic 5.3
First Incompleteness: a decent consistent system is syntactically incomplete [Gödel, by George/Velleman]
     Full Idea: First Incompleteness Theorem: If S is a sufficiently powerful formal system, then if S is consistent then S is syntactically incomplete.
     From: report of Kurt Gödel (On Formally Undecidable Propositions [1931]) by A.George / D.J.Velleman - Philosophies of Mathematics Ch.6
     A reaction: Gödel found a single sentence, effectively saying 'I am unprovable in S', which is neither provable nor refutable in S.
Second Incompleteness: a decent consistent system can't prove its own consistency [Gödel, by George/Velleman]
     Full Idea: Second Incompleteness Theorem: If S is a sufficiently powerful formal system, then if S is consistent then S cannot prove its own consistency
     From: report of Kurt Gödel (On Formally Undecidable Propositions [1931]) by A.George / D.J.Velleman - Philosophies of Mathematics Ch.6
     A reaction: This seems much less surprising than the First Theorem (though it derives from it). It was always kind of obvious that you couldn't use reason to prove that reason works (see, for example, the Cartesian Circle).
There is a sentence which a theory can show is true iff it is unprovable [Gödel, by Smith,P]
     Full Idea: The original Gödel construction gives us a sentence that a theory shows is true if and only if it satisfies the condition of being unprovable-in-that-theory.
     From: report of Kurt Gödel (On Formally Undecidable Propositions [1931]) by Peter Smith - Intro to Gödel's Theorems 20.5
'This system can't prove this statement' makes it unprovable either way [Gödel, by Clegg]
     Full Idea: An approximation of Gödel's Theorem imagines a statement 'This system of mathematics can't prove this statement true'. If the system proves the statement, then it can't prove it. If the statement can't prove the statement, clearly it still can't prove it.
     From: report of Kurt Gödel (On Formally Undecidable Propositions [1931]) by Brian Clegg - Infinity: Quest to Think the Unthinkable Ch.15
     A reaction: Gödel's contribution to this simple idea seems to be a demonstration that formal arithmetic is capable of expressing such a statement.
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)
6. Mathematics / C. Sources of Mathematics / 10. Constructivism / d. Predicativism
Realists are happy with impredicative definitions, which describe entities in terms of other existing entities [Gödel, by Shapiro]
     Full Idea: Gödel defended impredicative definitions on grounds of ontological realism. From that perspective, an impredicative definition is a description of an existing entity with reference to other existing entities.
     From: report of Kurt Gödel (On Formally Undecidable Propositions [1931]) by Stewart Shapiro - Thinking About Mathematics 5.3
     A reaction: This is why constructivists must be absolutely precise about definition, where realists only have to do their best. Compare building a car with painting a landscape.
11. Knowledge Aims / A. Knowledge / 2. Understanding
Modern epistemology is too atomistic, and neglects understanding [Zagzebski]
     Full Idea: There are complaints that contemporary epistemology is too atomistic, and that the value of understanding has been neglected.
     From: Linda Trinkaus Zagzebski (Virtues of the Mind [1996], I 2)
     A reaction: This is because of the excessive influence of logic in contemporary analytic philosophy, which has to reduce knowledge to K(Fa), rather than placing it in a human context.
Epistemology is excessively atomic, by focusing on justification instead of understanding [Zagzebski]
     Full Idea: The present obsession with justification and the neglect of understanding has resulted in a feature of epistemology already criticised by several epistemologists: its atomism.
     From: Linda Trinkaus Zagzebski (Virtues of the Mind [1996], III 2.2)
     A reaction: All analytic philosophy has become excessively atomic, because it relies too heavily on logic for its grounding and rigour. There are other sorts of rigour, such as AI, peer review, programming. Or rigour is an idle dream.
11. Knowledge Aims / A. Knowledge / 3. Value of Knowledge
Truth is valuable, but someone knowing the truth is more valuable [Zagzebski]
     Full Idea: Of course we value the truth, but the value we place on knowledge is more than the value of the truth we thereby acquire. …It also involves a valuabe relation between the knower and the truth.
     From: Linda Trinkaus Zagzebski (Virtues of the Mind [1996], III 1)
     A reaction: Hard to assess this. I take truth to be a successful relationship between a mind and a fact. Knowledge needs something extra, to avoid lucky true beliefs. Does a truth acquire greater and greater value as more people come to know it? Doubtful.
11. Knowledge Aims / A. Knowledge / 4. Belief / d. Cause of beliefs
Some beliefs are fairly voluntary, and others are not at all so [Zagzebski]
     Full Idea: My position is that beliefs, like acts, arrange themselves on a continuum of degrees of voluntariness, ranging from quite a bit to none at all.
     From: Linda Trinkaus Zagzebski (Virtues of the Mind [1996], I 4.2)
     A reaction: I'm sure we have no idea how we came to hold many of our beliefs, and if we see a cat, nothing seems to intervene between the seeing and the believing. But if you adopt a religion, believing its full creed is a big subsequent effort.
11. Knowledge Aims / A. Knowledge / 5. Aiming at Truth
Knowledge either aims at a quantity of truths, or a quality of understanding of truths [Zagzebski]
     Full Idea: Getting knowledge can be a matter either of reaching more truths or of gaining understanding of truths already believed. So it may be a way of increasing either the quality of true belief (cognitive contact with reality) or the quantity.
     From: Linda Trinkaus Zagzebski (Virtues of the Mind [1996], III 2.1)
     A reaction: I'm not sure how one would increase understanding of currently believed truths if it didn't involve adding some new truths to the collection. There is only the discovery of connections or structures, but those are new facts.
13. Knowledge Criteria / A. Justification Problems / 2. Justification Challenges / b. Gettier problem
For internalists Gettier situations are where internally it is fine, but there is an external mishap [Zagzebski]
     Full Idea: In internalist theories the grounds for justification are accessible to the believer, and Gettier problems arise when there is nothing wrong with the internally accessible aspects of the situation, but there is a mishap inaccessible to the believer.
     From: Linda Trinkaus Zagzebski (Virtues of the Mind [1996], III 3.1)
     A reaction: I'm sure we could construct an internal mishap which the believer was unaware of, such as two confusions of the meanings of words cancelling one another out.
Gettier problems are always possible if justification and truth are not closely linked [Zagzebski]
     Full Idea: As long as the concept of knowledge closely connects the justification component and the truth component but permits some degree of independence between them, justified true belief will never be sufficient for knowledge.
     From: Linda Trinkaus Zagzebski (Virtues of the Mind [1996], III 3.1)
     A reaction: Out of context this sounds like an advertisement for externalism. Or maybe it just says we have to live with Gettier threats. Zagzebski has other strategies.
We avoid the Gettier problem if the support for the belief entails its truth [Zagzebski]
     Full Idea: The way to avoid the Gettier problem is to define knowledge in such a way that truth is entailed by the other component(s) of the definition.
     From: Linda Trinkaus Zagzebski (Virtues of the Mind [1996], III 3.1)
     A reaction: Thus she defines virtuous justification as being successful, as virtues tend to be. This smacks of cheating. Surely we can be defeated in a virtuous way? If the truth is entailed then of course Gettier can be sent packing.
Gettier cases arise when good luck cancels out bad luck [Zagzebski]
     Full Idea: The procedure for generating Gettier cases involves 'double luck': an instance of good luck cancels out an instance of bad luck.
     From: Linda Trinkaus Zagzebski (Virtues of the Mind [1996], III 3.2)
     A reaction: You can end up with the right answer in arithmetic if you make two mistakes rather than one. I'm picturing a life of one blundering error after another, which to an outsider seems to be going serenely well.
13. Knowledge Criteria / B. Internal Justification / 1. Epistemic virtues
Intellectual virtues are forms of moral virtue [Zagzebski]
     Full Idea: I argue that intellectual virtues are forms of moral virtue.
     From: Linda Trinkaus Zagzebski (Virtues of the Mind [1996], II Intro)
     A reaction: This contrasts with Sosa, who seems to think intellectual virtues are just the most efficient ways of reaching the truth. I like Zabzebski's approach a lot, though we are in a very small minority. I love her book. We have epistemic and moral duties.
A reliable process is no use without the virtues to make use of them [Zagzebski]
     Full Idea: It is not enough that a process is reliable; a person will not reliably use such a process without certain virtues.
     From: Linda Trinkaus Zagzebski (Virtues of the Mind [1996], II 4.1.2)
     A reaction: This is a point against Sosa's reliabilist account of virtues. Of course, all theories of epistemic justification (or of morality) will fail if people can't be bothered to implement them.
Intellectual and moral prejudice are the same vice (and there are other examples) [Zagzebski]
     Full Idea: Maybe the intellectual and the moral forms of prejudice are the same vice, and this may also be true of other traits with shared names, such as humility, autonomy, integrity, perseverance, courage and trustworthiness.
     From: Linda Trinkaus Zagzebski (Virtues of the Mind [1996], II 3.1)
     A reaction: I find this claim very persuasive. The virtue of 'integrity' rather obviously embraces groups of both intellectually and morally desirable traits.
We can name at least thirteen intellectual vices [Zagzebski]
     Full Idea: Some examples of intellectual vices: pride, negligence, idleness, cowardice, conformity, carelessness, rigidity, prejudice, wishful thinking, closed-mindedness, insensitivity to detail, obtuseness (in seeing relevance), and lack of thoroughness.
     From: Linda Trinkaus Zagzebski (Virtues of the Mind [1996], II 3.1)
     A reaction: There are thousands of vices for which we don't have names, like thinking about football when you should be doing metaphysics. The other way round is also a vice too, because football needs concentration. Discontent with your chair is bad too.
A justified belief emulates the understanding and beliefs of an intellectually virtuous person [Zagzebski]
     Full Idea: A justified belief is what a person who is motivated by intellectual virtue, and who has the understanding of his cognitive situation a virtuous person would have, might believe in like circumstances.
     From: Linda Trinkaus Zagzebski (Virtues of the Mind [1996], II 6.1)
     A reaction: This is a whole-hearted definition of justification in terms of a theory of intellectual virtues. Presumably this would allow robots to have justified beliefs, if they managed to behave the way intellectually virtuous persons would behave.
13. Knowledge Criteria / C. External Justification / 3. Reliabilism / b. Anti-reliabilism
Epistemic perfection for reliabilism is a truth-producing machine [Zagzebski]
     Full Idea: Just as a utility-calculating machine would be the ideal moral agent according to utilitarianism, a truth-producing machine would be the ideal epistemic agent according to reliabilism,
     From: Linda Trinkaus Zagzebski (Virtues of the Mind [1996], I 1.2)
     A reaction: Love this one! For consequentialists a successful robot is morally superior to an average human being. The reliabilist dream is just something that churns out truths. But what is the role of these truths in subsequent life?
16. Persons / C. Self-Awareness / 2. Knowing the Self
The self is known as much by its knowledge as by its action [Zagzebski]
     Full Idea: It seems to me that the concept of the self is constituted as much by what we know as by what we do.
     From: Linda Trinkaus Zagzebski (Virtues of the Mind [1996], III 1)
     A reaction: People take pride in what they know, which indicates that it is of central importance to a person's nature. Hard to evaluate ideas such as this.
17. Mind and Body / C. Functionalism / 2. Machine Functionalism
Basic logic can be done by syntax, with no semantics [Gödel, by Rey]
     Full Idea: Gödel in his completeness theorem for first-order logic showed that a certain set of syntactically specifiable rules was adequate to capture all first-order valid arguments. No semantics (e.g. reference, truth, validity) was necessary.
     From: report of Kurt Gödel (On Formally Undecidable Propositions [1931]) by Georges Rey - Contemporary Philosophy of Mind 8.2
     A reaction: This implies that a logic machine is possible, but we shouldn't raise our hopes for proper rationality. Validity can be shown for purely algebraic arguments, but rationality requires truth as well as validity, and that needs propositions and semantics.
18. Thought / A. Modes of Thought / 3. Emotions / d. Emotional feeling
The feeling accompanying curiosity is neither pleasant nor painful [Zagzebski]
     Full Idea: Most feelings are experienced as pleasant or painful, but it is not evident that they all are; curiosity may be one that is not. [note: 'curiosity' may not be the name of a feeling, but a feeling typically accompanies it]
     From: Linda Trinkaus Zagzebski (Virtues of the Mind [1996], II 3.1)
     A reaction: If a machine generates a sliding scale from pain to pleasure, is there a neutral feeling at the midpoint, or does all feeling briefly vanish there? Not sure.
20. Action / C. Motives for Action / 1. Acting on Desires
Motives involve desires, but also how the desires connect to our aims [Zagzebski]
     Full Idea: A motive does have an aspect of desire, but it includes something about why a state of affairs is desired, and that includes something about the way my emotions are tied to my aim.
     From: Linda Trinkaus Zagzebski (Virtues of the Mind [1996], II 2.6)
     A reaction: It is standard usage that a 'motive' involves some movement towards achieving the desire, and not merely having the desire. I'd quite like to stand on top of Everest, but have absolutely no motivation to try to achieve it.
22. Metaethics / A. Ethics Foundations / 1. Nature of Ethics / d. Ethical theory
Modern moral theory concerns settling conflicts, rather than human fulfilment [Zagzebski]
     Full Idea: Modern ethics generally considers morality much less a system for fulfilling human nature than a set of principles for dealing with individuals in conflict.
     From: Linda Trinkaus Zagzebski (Virtues of the Mind [1996], II 7)
     A reaction: Historically I associate this move with Hugo Grotius around 1620. He was a great legalist, and eudaimonist virtue ethics gradually turned into jurisprudence. The Enlightenment sought rules for resolving dilemmas. Liberalism makes fulfilment private.
22. Metaethics / C. The Good / 1. Goodness / i. Moral luck
Moral luck means our praise and blame may exceed our control or awareness [Zagzebski]
     Full Idea: Because of moral luck, the realm of the morally praiseworthy / blameworthy is not indisputably within one's voluntary control or accessible to one's consciousness.
     From: Linda Trinkaus Zagzebski (Virtues of the Mind [1996], I 4.2)
     A reaction: [She particularly cites Thomas Nagel for this] It is a fact that we will be blamed (more strongly) when we have moral bad luck, but the question is whether we should be. It seems harsh, but you can't punish someone as if they had had bad luck.
22. Metaethics / C. The Good / 2. Happiness / b. Eudaimonia
Nowadays we doubt the Greek view that the flourishing of individuals and communities are linked [Zagzebski]
     Full Idea: Modern moral philosophers have been considerably more skeptical than were the ancient Greeks about the close association between the flourishing of the individual and that of the community.
     From: Linda Trinkaus Zagzebski (Virtues of the Mind [1996], II 2.2)
     A reaction: I presume this is not just a change in fashion, but a reflection of how different the two societies are. In a close community with almost no privacy, flourishing individuals are good citizens. In the isolations of modern liberalism they may be irrelevant.
23. Ethics / C. Virtue Theory / 1. Virtue Theory / a. Nature of virtue
Virtue theory is hopeless if there is no core of agreed universal virtues [Zagzebski]
     Full Idea: An analysis of virtue is hopeless unless we can assume that most of a selected list of traits count as virtues, in a way not strictly culture. ...These would include wisdom, courage, benevolence, justice, honesty, loyalty, integrity, and generosity.
     From: Linda Trinkaus Zagzebski (Virtues of the Mind [1996], II 2.1)
     A reaction: This requirement needs there to be a single core to human nature, right across the species. If we are infinitely flexible (as existentialists imply) then the virtues will have matching flexibility, and so will be parochial and excessively relative.
A virtue must always have a corresponding vice [Zagzebski]
     Full Idea: It is important for the nature of virtue that it have a corresponding vice (or two, in the doctrine of the mean). Claustrophobia is not a vice not only because it is involuntary, but also because there is no corresponding virtue.
     From: Linda Trinkaus Zagzebski (Virtues of the Mind [1996], II 2.3)
     A reaction: Presumably attaining a virtue is an achievement, so we would expect a label for failure in the same field of endeavour. The failure is not purely negative, because bad things ensue if the virtue is not present.
Eight marks distingush skills from virtues [Zagzebski, by PG]
     Full Idea: The difference between skills and virtues is that virtues must be enacted, are always desirable, can't be forgotten, and can be simulated, whereas skills are very specific, involve a technique, lack contraries, and lack intrinsic value.
     From: report of Linda Trinkaus Zagzebski (Virtues of the Mind [1996], II 2.4) by PG - Db (ideas)
     A reaction: [my summary of her II 2.4 discussion of the differences] She observes that Aristotle made insufficient effort to distinguish the two. It may be obscure to say that virtues go 'deeper' than skills, but we all know what is meant. 'Skills serve virtues'.
Virtues are deep acquired excellences of persons, which successfully attain desire ends [Zagzebski]
     Full Idea: A virtue can be defined as 'a deep and enduring acquired excellence of a person, involving a characteristic motivation to produce a certain desired end and reliable success in bringing about that end'.
     From: Linda Trinkaus Zagzebski (Virtues of the Mind [1996], II 2.7)
     A reaction: She puts this in bold, and it is the culminating definition of a long discussion. It rather obviously fails to say anything about the nature of the end that is desired. Learning the telephone book off by heart seems to fit the definition.
Every moral virtue requires a degree of intelligence [Zagzebski]
     Full Idea: Being reasonably intelligent within a certain area of life is part of having almost any moral virtue.
     From: Linda Trinkaus Zagzebski (Virtues of the Mind [1996], II 3.1)
     A reaction: The fact that this bars persons of very limited intelligence from acquiring the Aristotelian virtues is one of the attractions of the Christian enjoinder to merely achieve 'love'. Anyone can have a warm heart. So is virtue elitist?
23. Ethics / C. Virtue Theory / 1. Virtue Theory / c. Particularism
Virtue theory can have lots of rules, as long as they are grounded in virtues and in facts [Zagzebski]
     Full Idea: A pure virtue theory can have as many rules as you like as long as they are understood as grounded in the virtuous motivations and understanding of the nonmoral facts that virtuous agents possess.
     From: Linda Trinkaus Zagzebski (Virtues of the Mind [1996], II 6.1)
     A reaction: It is important, I think, to see that a virtue theorist does not have to be a particularist.
23. Ethics / C. Virtue Theory / 2. Elements of Virtue Theory / j. Unity of virtue
We need phronesis to coordinate our virtues [Zagzebski]
     Full Idea: We need phronesis (practical wisdom) to coordinate the various virtues into a single line of action or line of thought leading up to an act or to a belief.
     From: Linda Trinkaus Zagzebski (Virtues of the Mind [1996], II 5.2)
     A reaction: If I have a conflicting virtue and vice in a single situation, something must make sure that the virtue dominates. That sounds more like Kant's 'good will' than like phronesis.
23. Ethics / C. Virtue Theory / 3. Virtues / a. Virtues
For the virtue of honesty you must be careful with the truth, and not just speak truly [Zagzebski]
     Full Idea: It is not sufficient for honesty that a person tells whatever she happens to believe is the truth. An honest person is careful with the truth.
     From: Linda Trinkaus Zagzebski (Virtues of the Mind [1996], II 3.2)
     A reaction: Not sure about that. It matches what Aristotle says about courage, which also needs practical reason [phronesis]. But being sensitive and careful with truth seems to need other virtues. If total honesty is not a virtue, then is honesty a virtue at all?
23. Ethics / C. Virtue Theory / 3. Virtues / d. Courage
The courage of an evil person is still a quality worth having [Zagzebski]
     Full Idea: In the case of a courageous Nazi soldier, my position is that a virtue is worth having even in those cases in which it makes a person worse overall.
     From: Linda Trinkaus Zagzebski (Virtues of the Mind [1996], II 2.2)
     A reaction: A brave claim, which seems right. If a nasty Nazi reforms, they will at least have one good quality which can be put to constructive use.