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All the ideas for 'Structures and Structuralism in Phil of Maths', 'Virtues of the Mind' and 'Causality: Reductionism versus Realism'

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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 / 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 / 2. Semantic Truth
While true-in-a-model seems relative, true-in-all-models seems not to be [Reck/Price]
     Full Idea: While truth can be defined in a relative way, as truth in one particular model, a non-relative notion of truth is implied, as truth in all models.
     From: E Reck / M Price (Structures and Structuralism in Phil of Maths [2000], §4)
     A reaction: [The article is actually discussing arithmetic] This idea strikes me as extremely important. True-in-all-models is usually taken to be tautological, but it does seem to give a more universal notion of truth. See semantic truth, Tarski, Davidson etc etc.
4. Formal Logic / F. Set Theory ST / 4. Axioms for Sets / a. Axioms for sets
ZFC set theory has only 'pure' sets, without 'urelements' [Reck/Price]
     Full Idea: In standard ZFC ('Zermelo-Fraenkel with Choice') set theory we deal merely with pure sets, not with additional urelements.
     From: E Reck / M Price (Structures and Structuralism in Phil of Maths [2000], §2)
     A reaction: The 'urelements' would the actual objects that are members of the sets, be they physical or abstract. This idea is crucial to understanding philosophy of mathematics, and especially logicism. Must the sets exist, just as the urelements do?
5. Theory of Logic / G. Quantification / 5. Second-Order Quantification
Three types of variable in second-order logic, for objects, functions, and predicates/sets [Reck/Price]
     Full Idea: In second-order logic there are three kinds of variables, for objects, for functions, and for predicates or sets.
     From: E Reck / M Price (Structures and Structuralism in Phil of Maths [2000], §5)
     A reaction: It is interesting that a predicate seems to be the same as a set, which begs rather a lot of questions. For those who dislike second-order logic, there seems nothing instrinsically wicked in having variables ranging over innumerable multi-order types.
6. Mathematics / A. Nature of Mathematics / 3. Nature of Numbers / g. Real numbers
'Analysis' is the theory of the real numbers [Reck/Price]
     Full Idea: 'Analysis' is the theory of the real numbers.
     From: E Reck / M Price (Structures and Structuralism in Phil of Maths [2000], §2)
     A reaction: 'Analysis' began with the infinitesimal calculus, which later built on the concept of 'limit'. A continuum of numbers seems to be required to make that work.
6. Mathematics / B. Foundations for Mathematics / 4. Axioms for Number / a. Axioms for numbers
Mereological arithmetic needs infinite objects, and function definitions [Reck/Price]
     Full Idea: The difficulties for a nominalistic mereological approach to arithmetic is that an infinity of physical objects are needed (space-time points? strokes?), and it must define functions, such as 'successor'.
     From: E Reck / M Price (Structures and Structuralism in Phil of Maths [2000], §4)
     A reaction: Many ontologically austere accounts of arithmetic are faced with the problem of infinity. The obvious non-platonist response seems to be a modal or if-then approach. To postulate infinite abstract or physical entities so that we can add 3 and 2 is mad.
6. Mathematics / B. Foundations for Mathematics / 4. Axioms for Number / e. Peano arithmetic 2nd-order
Peano Arithmetic can have three second-order axioms, plus '1' and 'successor' [Reck/Price]
     Full Idea: A common formulation of Peano Arithmetic uses 2nd-order logic, the constant '1', and a one-place function 's' ('successor'). Three axioms then give '1 is not a successor', 'different numbers have different successors', and induction.
     From: E Reck / M Price (Structures and Structuralism in Phil of Maths [2000], §2)
     A reaction: This is 'second-order' Peano Arithmetic, though it is at least as common to formulate in first-order terms (only quantifying over objects, not over properties - as is done here in the induction axiom). I like the use of '1' as basic instead of '0'!
6. Mathematics / B. Foundations for Mathematics / 6. Mathematics as Set Theory / a. Mathematics is set theory
Set-theory gives a unified and an explicit basis for mathematics [Reck/Price]
     Full Idea: The merits of basing an account of mathematics on set theory are that it allows for a comprehensive unified treatment of many otherwise separate branches of mathematics, and that all assumption, including existence, are explicit in the axioms.
     From: E Reck / M Price (Structures and Structuralism in Phil of Maths [2000], §4)
     A reaction: I am forming the impression that set-theory provides one rather good model (maybe the best available) for mathematics, but that doesn't mean that mathematics is set-theory. The best map of a landscape isn't a landscape.
6. Mathematics / B. Foundations for Mathematics / 7. Mathematical Structuralism / a. Structuralism
Structuralism emerged from abstract algebra, axioms, and set theory and its structures [Reck/Price]
     Full Idea: Structuralism has emerged from the development of abstract algebra (such as group theory), the creation of axiom systems, the introduction of set theory, and Bourbaki's encyclopaedic survey of set theoretic structures.
     From: E Reck / M Price (Structures and Structuralism in Phil of Maths [2000], §2)
     A reaction: In other words, mathematics has gradually risen from one level of abstraction to the next, so that mathematical entities like points and numbers receive less and less attention, with relationships becoming more prominent.
6. Mathematics / B. Foundations for Mathematics / 7. Mathematical Structuralism / b. Varieties of structuralism
Relativist Structuralism just stipulates one successful model as its arithmetic [Reck/Price]
     Full Idea: Relativist Structuralism simply picks one particular model of axiomatised arithmetic (i.e. one particular interpretation that satisfies the axioms), and then stipulates what the elements, functions and quantifiers refer to.
     From: E Reck / M Price (Structures and Structuralism in Phil of Maths [2000], §4)
     A reaction: The point is that a successful model can be offered, and it doesn't matter which one, like having any sort of aeroplane, as long as it flies. I don't find this approach congenial, though having a model is good. What is the essence of flight?
There are 'particular' structures, and 'universal' structures (what the former have in common) [Reck/Price]
     Full Idea: The term 'structure' has two uses in the literature, what can be called 'particular structures' (which are particular relational systems), but also what can be called 'universal structures' - what particular systems share, or what they instantiate.
     From: E Reck / M Price (Structures and Structuralism in Phil of Maths [2000], §6)
     A reaction: This is a very helpful distinction, because it clarifies why (rather to my surprise) some structuralists turn out to be platonists in a new guise. Personal my interest in structuralism has been anti-platonist from the start.
Pattern Structuralism studies what isomorphic arithmetic models have in common [Reck/Price]
     Full Idea: According to 'pattern' structuralism, what we study are not the various particular isomorphic models of arithmetic, but something in addition to them: a corresponding pattern.
     From: E Reck / M Price (Structures and Structuralism in Phil of Maths [2000], §7)
     A reaction: Put like that, we have to feel a temptation to wield Ockham's Razor. It's bad enough trying to give the structure of all the isomorphic models, without seeking an even more abstract account of underlying patterns. But patterns connect to minds..
There are Formalist, Relativist, Universalist and Pattern structuralism [Reck/Price]
     Full Idea: There are four main variants of structuralism in the philosophy of mathematics - formalist structuralism, relativist structuralism, universalist structuralism (with modal variants), and pattern structuralism.
     From: E Reck / M Price (Structures and Structuralism in Phil of Maths [2000], §9)
     A reaction: I'm not sure where Chihara's later book fits into this, though it is at the nominalist end of the spectrum. Shapiro and Resnik do patterns (the latter more loosely); Hellman does modal universalism; Quine does the relativist version. Dedekind?
6. Mathematics / B. Foundations for Mathematics / 7. Mathematical Structuralism / c. Nominalist structuralism
Formalist Structuralism says the ontology is vacuous, or formal, or inference relations [Reck/Price]
     Full Idea: Formalist Structuralism endorses structural methodology in mathematics, but rejects semantic and metaphysical problems as either meaningless, or purely formal, or as inference relations.
     From: E Reck / M Price (Structures and Structuralism in Phil of Maths [2000], §3)
     A reaction: [very compressed] I find the third option fairly congenial, certainly in preference to rather platonist accounts of structuralism. One still needs to distinguish the mathematical from the non-mathematical in the inference relations.
Maybe we should talk of an infinity of 'possible' objects, to avoid arithmetic being vacuous [Reck/Price]
     Full Idea: It is tempting to take a modal turn, and quantify over all possible objects, because if there are only a finite number of actual objects, then there are no models (of the right sort) for Peano Arithmetic, and arithmetic is vacuously true.
     From: E Reck / M Price (Structures and Structuralism in Phil of Maths [2000], §5)
     A reaction: [compressed; Geoffrey Hellman is the chief champion of this view] The article asks whether we are not still left with the puzzle of whether infinitely many objects are possible, instead of existent.
6. Mathematics / B. Foundations for Mathematics / 7. Mathematical Structuralism / d. Platonist structuralism
Universalist Structuralism is based on generalised if-then claims, not one particular model [Reck/Price]
     Full Idea: Universalist Structuralism is a semantic thesis, that an arithmetical statement asserts a universal if-then statement. We build an if-then statement (using quantifiers) into the structure, and we generalise away from any one particular model.
     From: E Reck / M Price (Structures and Structuralism in Phil of Maths [2000], §5)
     A reaction: There remains the question of what is distinctively mathematical about the highly generalised network of inferences that is being described. Presumable the axioms capture that, but why those particular axioms? Russell is cited as an originator.
Universalist Structuralism eliminates the base element, as a variable, which is then quantified out [Reck/Price]
     Full Idea: Universalist Structuralism is eliminativist about abstract objects, in a distinctive form. Instead of treating the base element (say '1') as an ambiguous referring expression (the Relativist approach), it is a variable which is quantified out.
     From: E Reck / M Price (Structures and Structuralism in Phil of Maths [2000], §5)
     A reaction: I am a temperamental eliminativist on this front (and most others) so this is tempting. I am also in love with the concept of a 'variable', which I take to be utterly fundamental to all conceptual thought, even in animals, and not just a trick of algebra.
6. Mathematics / B. Foundations for Mathematics / 7. Mathematical Structuralism / e. Structuralism critique
The existence of an infinite set is assumed by Relativist Structuralism [Reck/Price]
     Full Idea: Relativist Structuralism must first assume the existence of an infinite set, otherwise there would be no model to pick, and arithmetical terms would have no reference.
     From: E Reck / M Price (Structures and Structuralism in Phil of Maths [2000], §4)
     A reaction: See Idea 10169 for Relativist Structuralism. They point out that ZFC has an Axiom of Infinity.
8. Modes of Existence / E. Nominalism / 6. Mereological Nominalism
A nominalist might avoid abstract objects by just appealing to mereological sums [Reck/Price]
     Full Idea: One way for a nominalist to reject appeal to all abstract objects, including sets, is to only appeal to nominalistically acceptable objects, including mereological sums.
     From: E Reck / M Price (Structures and Structuralism in Phil of Maths [2000], §4)
     A reaction: I'm suddenly thinking that this looks very interesting and might be the way to go. The issue seems to be whether mereological sums should be seen as constrained by nature, or whether they are unrestricted. See Mereology in Ontology...|Intrinsic Identity.
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.
26. Natural Theory / C. Causation / 4. Naturalised causation
Reductionists can't explain accidents, uninstantiated laws, probabilities, or the existence of any laws [Tooley]
     Full Idea: Reductionist accounts of causation cannot distinguish laws from accidental uniformities, cannot allow for basic uninstantiated laws, can't explain probabilistic laws, and cannot even demonstrate the existence of laws.
     From: Michael Tooley (Causality: Reductionism versus Realism [1990], 2)
     A reaction: I am tempted to say that this is so much the worse for the idea of laws. Extensive regularities only occur for a reason. Probabilities aren't laws. Hypothetical facts will cover uninstantiated laws. Laws are just patterns.
26. Natural Theory / C. Causation / 8. Particular Causation / e. Probabilistic causation
Quantum physics suggests that the basic laws of nature are probabilistic [Tooley]
     Full Idea: Quantum physics seems to lend strong support to the idea that the basic laws of nature may well be probabilistic.
     From: Michael Tooley (Causality: Reductionism versus Realism [1990], 3.2.1)
     A reaction: Groan. Quantum physics should be outlawed from all philosophical discussions. The scientists don't understand it themselves. I'm certainly not going to build my worldview on it. I don't accept that these probabilities could count as 'laws'.