Combining Texts

All the ideas for 'On the Question of Absolute Undecidability', 'Virtues of the Mind' and 'Investigations in the Foundations of Set Theory I'

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54 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 / D. Definition / 8. Impredicative Definition
Predicative definitions are acceptable in mathematics if they distinguish objects, rather than creating them? [Zermelo, by Lavine]
     Full Idea: On Zermelo's view, predicative definitions are not only indispensable to mathematics, but they are unobjectionable since they do not create the objects they define, but merely distinguish them from other objects.
     From: report of Ernst Zermelo (Investigations in the Foundations of Set Theory I [1908]) by Shaughan Lavine - Understanding the Infinite V.1
     A reaction: This seems to have an underlying platonism, that there are hitherto undefined 'objects' lying around awaiting the honour of being defined. Hm.
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.
4. Formal Logic / F. Set Theory ST / 1. Set Theory
We take set theory as given, and retain everything valuable, while avoiding contradictions [Zermelo]
     Full Idea: Starting from set theory as it is historically given ...we must, on the one hand, restrict these principles sufficiently to exclude as contradiction and, on the other, take them sufficiently wide to retain all that is valuable in this theory.
     From: Ernst Zermelo (Investigations in the Foundations of Set Theory I [1908], Intro)
     A reaction: Maddy calls this the one-step-back-from-disaster rule of thumb. Zermelo explicitly mentions the 'Russell antinomy' that blocked Frege's approach to sets.
Set theory investigates number, order and function, showing logical foundations for mathematics [Zermelo]
     Full Idea: Set theory is that branch whose task is to investigate mathematically the fundamental notions 'number', 'order', and 'function', taking them in their pristine, simple form, and to develop thereby the logical foundations of all of arithmetic and analysis.
     From: Ernst Zermelo (Investigations in the Foundations of Set Theory I [1908], Intro)
     A reaction: At this point Zermelo seems to be a logicist. Right from the start set theory was meant to be foundational to mathematics, and not just a study of the logic of collections.
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
ZFC: Existence, Extension, Specification, Pairing, Unions, Powers, Infinity, Choice [Zermelo, by Clegg]
     Full Idea: Zermelo-Fraenkel axioms: Existence (at least one set); Extension (same elements, same set); Specification (a condition creates a new set); Pairing (two sets make a set); Unions; Powers (all subsets make a set); Infinity (set of successors); Choice
     From: report of Ernst Zermelo (Investigations in the Foundations of Set Theory I [1908]) by Brian Clegg - Infinity: Quest to Think the Unthinkable Ch.15
Zermelo published his axioms in 1908, to secure a controversial proof [Zermelo, by Maddy]
     Full Idea: Zermelo proposed his listed of assumptions (including the controversial Axiom of Choice) in 1908, in order to secure his controversial proof of Cantor's claim that ' we can always bring any well-defined set into the form of a well-ordered set'.
     From: report of Ernst Zermelo (Investigations in the Foundations of Set Theory I [1908]) by Penelope Maddy - Believing the Axioms I §1
     A reaction: This is interesting because it sometimes looks as if axiom systems are just a way of tidying things up. Presumably it is essential to get people to accept the axioms in their own right, the 'old-fashioned' approach that they be self-evident.
Set theory can be reduced to a few definitions and seven independent axioms [Zermelo]
     Full Idea: I intend to show how the entire theory created by Cantor and Dedekind can be reduced to a few definitions and seven principles, or axioms, which appear to be mutually independent.
     From: Ernst Zermelo (Investigations in the Foundations of Set Theory I [1908], Intro)
     A reaction: The number of axioms crept up to nine or ten in subsequent years. The point of axioms is maximum reduction and independence from one another. He says nothing about self-evidence (though Boolos claimed a degree of that).
4. Formal Logic / F. Set Theory ST / 4. Axioms for Sets / c. Axiom of Pairing II
Zermelo introduced Pairing in 1930, and it seems fairly obvious [Zermelo, by Maddy]
     Full Idea: Zermelo's Pairing Axiom superseded (in 1930) his original 1908 Axiom of Elementary Sets. Like Union, its only justification seems to rest on 'limitations of size' and on the 'iterative conception'.
     From: report of Ernst Zermelo (Investigations in the Foundations of Set Theory I [1908]) by Penelope Maddy - Believing the Axioms I §1.3
     A reaction: Maddy says of this and Union, that they seem fairly obvious, but that their justification is of prime importance, if we are to understand what the axioms should be.
4. Formal Logic / F. Set Theory ST / 4. Axioms for Sets / i. Axiom of Foundation VIII
Zermelo used Foundation to block paradox, but then decided that only Separation was needed [Zermelo, by Maddy]
     Full Idea: Zermelo used a weak form of the Axiom of Foundation to block Russell's paradox in 1906, but in 1908 felt that the form of his Separation Axiom was enough by itself, and left the earlier axiom off his published list.
     From: report of Ernst Zermelo (Investigations in the Foundations of Set Theory I [1908]) by Penelope Maddy - Believing the Axioms I §1.2
     A reaction: Foundation turns out to be fairly controversial. Barwise actually proposes Anti-Foundation as an axiom. Foundation seems to be the rock upon which the iterative view of sets is built. Foundation blocks infinite descending chains of sets, and circularity.
4. Formal Logic / F. Set Theory ST / 4. Axioms for Sets / m. Axiom of Separation
The Axiom of Separation requires set generation up to one step back from contradiction [Zermelo, by Maddy]
     Full Idea: The most characteristic Zermelo axiom is Separation, guided by a new rule of thumb: 'one step back from disaster' - principles of set generation should be as strong as possible short of contradiction.
     From: report of Ernst Zermelo (Investigations in the Foundations of Set Theory I [1908]) by Penelope Maddy - Believing the Axioms I §1.4
     A reaction: Why is there an underlying assumption that we must have as many sets as possible? We are then tempted to abolish axioms like Foundation, so that we can have even more sets!
Not every predicate has an extension, but Separation picks the members that satisfy a predicate [Zermelo, by Hart,WD]
     Full Idea: Zermelo assumes that not every predicate has an extension but rather that given a set we may separate out from it those of its members satisfying the predicate. This is called 'separation' (Aussonderung).
     From: report of Ernst Zermelo (Investigations in the Foundations of Set Theory I [1908]) by William D. Hart - The Evolution of Logic 3
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 / 3. Nature of Numbers / e. Ordinal numbers
In ZF, the Burali-Forti Paradox proves that there is no set of all ordinals [Zermelo, by Hart,WD]
     Full Idea: In Zermelo's set theory, the Burali-Forti Paradox becomes a proof that there is no set of all ordinals (so 'is an ordinal' has no extension).
     From: report of Ernst Zermelo (Investigations in the Foundations of Set Theory I [1908]) by William D. Hart - The Evolution of Logic 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)
6. Mathematics / B. Foundations for Mathematics / 5. Definitions of Number / f. Zermelo numbers
For Zermelo the successor of n is {n} (rather than n U {n}) [Zermelo, by Maddy]
     Full Idea: For Zermelo the successor of n is {n} (rather than Von Neumann's successor, which is n U {n}).
     From: report of Ernst Zermelo (Investigations in the Foundations of Set Theory I [1908]) by Penelope Maddy - Naturalism in Mathematics I.2 n8
     A reaction: I could ask some naive questions about the comparison of these two, but I am too shy about revealing my ignorance.
6. Mathematics / B. Foundations for Mathematics / 6. Mathematics as Set Theory / a. Mathematics is set theory
Zermelo believed, and Von Neumann seemed to confirm, that numbers are sets [Zermelo, by Maddy]
     Full Idea: Zermelo was a reductionist, and believed that theorems purportedly about numbers (cardinal or ordinal) are really about sets, and since Von Neumann's definitions of ordinals and cardinals as sets, this has become common doctrine.
     From: report of Ernst Zermelo (Investigations in the Foundations of Set Theory I [1908]) by Penelope Maddy - Believing the Axioms I §1.8
     A reaction: Frege has a more sophisticated take on this approach. It may just be an updating of the Greek idea that arithmetic is about treating many things as a unit. A set bestows an identity on a group, and that is all that is needed.
6. Mathematics / B. Foundations for Mathematics / 7. Mathematical Structuralism / e. Structuralism critique
Different versions of set theory result in different underlying structures for numbers [Zermelo, by Brown,JR]
     Full Idea: In Zermelo's set-theoretic definition of number, 2 is a member of 3, but not a member of 4; in Von Neumann's definition every number is a member of every larger number. This means they have two different structures.
     From: report of Ernst Zermelo (Investigations in the Foundations of Set Theory I [1908]) by James Robert Brown - Philosophy of Mathematics Ch. 4
     A reaction: This refers back to the dilemma highlighted by Benacerraf, which was supposed to be the motivation for structuralism. My intuition says that the best answer is that they are both wrong. In a pattern, the nodes aren't 'members' of one another.
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.
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.