Half-Way Fregeanism About Existence

Another subtle existence entry to flummox and fascinate the Londonistas.  Hell, this Phoenician is flummoxed by it himself.  Ain't philosophy grand?

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In section 53 of The Foundations of Arithmetic, Gottlob Frege famously maintains that

. . . existence is analogous to number.  Affirmation of existence is in fact nothing but denial of the number nought.  Because existence is a property of concepts the ontological argument for the existence of God breaks down. (65)

Frege is here advancing a double-barreled thesis that splits into two subtheses.

ST1. Existence is analogous to number.

ST2. Existence is a property (Eigenschaft) of concepts and not of objects.

In the background is the sharp distinction between property (Eigenschaft) and mark (Merkmal).  Three-sided is a mark of the concept triangle, but not a property of this concept; being instantiated is a property of this concept but not a mark of it.  The Cartesian-Kantian ontological argument "from mere concepts" (aus lauter Begriffen), according to Frege, runs aground because existence cannot be a mark of any concept, but only a property of some concepts.  And so one cannot validly argue from the concept of God to the existence of God.

Existence as a property of concepts is the property of being-instantiated.  We can therefore call the Fregean account of existence an instantiation account.  A concept is instantiated just in case it has one or more instances.  So on a Fregean reading, 'Cats exist' says that the concept cat is instantiated.  This implies, of course, that 'Cats exist' is not about cats, but about a non-cat, a concept, and what it says about this concept is not that it (singulatly) exists, but that it is instantiated!  A whiff of paradox? Or more than just a whiff?

My concern in this entry is the logical relation between the above two subtheses.  Does the first entail the second or are they logically independent?  There is a clear sense in which (ST1) is true.  Necessarily, if horses exist, then the number of horses is not zero, and vice versa.  So 'Horses exist' is logically equivalent to 'The number of horses is not zero.'  This is wholly unproblematic for those of us who agree that there are no Meinongian nonexistent objects.  But note that, in general, equivalences, even logical equivalences, do not sanction reductions or identifications.  So it remains an open question whether one can take the further step of reducing existence to instantiation, or identifying existence with instantiation, or even eliminating existence in favor of instantiation. Equivalence, reduction, elimination: those are all different.  But I make this point only to move on.

(ST1), then, is unproblematically true if understood as expressing the following logical equivalence: 'Necessarily Fs exist iff the number of Fs is not zero.'  My question is whether (ST1) entails (ST2).  Peter van Inwagen in effect denies the entailment by denying that the 'the number of . . . is not zero' is a predicate of concepts:

I would say that, on a given occasion of its use, it predicates of certain things that they number more than zero.  Thus, if one says, 'The number of horses is not zero,' one predicates of horses that they number more than zero.  'The number of . . . is not zero' is thus what some philosophers have called a 'variably polyadic' predicate.  But so are many predicates that can hardly be regarded as predicates of concepts.  The predicates 'are ungulates' and 'have an interesting evolutionary history,' for example, are variably polyadic predicates.  When one says, 'Horses are ungulates' or 'Horses have an interesting evolutionary history' one is obviously making a statement about horses and not about the concept horse("Being, Existence, and Ontological Commitment," pp. 483-484)

It is this passage that I am having a hard time understanding.   It is of course clear what van Inwagen is trying to show, namely, that the Fregean subtheses are logically independent and that one can affirm the first without being committed to the second.  One can hold that existence is denial of the number zero without  holding that existence is a property of concepts.  One can go half-way with Frege without going 'whole hog' or all the way.

But I am having trouble with the claim that the predicate 'the number of . . . is not zero' is  'variably polyadic' and the examples van Inwagen employs.  'Robbed a bank together' is an example of a variably polyadic predicate.  It is polyadic because it expresses a relation and it is variably polyadic because it expresses a family of relations having different numbers of arguments.  For example, Bonnie and Clyde robbed a bank together, but so did Ma Barker and her two boys, Patti Hearst and three members of the ill-starred Symbionese Liberation Army, and so on.  (Example from Chris Swoyer and Francesco Orilia.) 

Now when I say that the number of horses is not zero, what am I talking about? It is plausible to say that I am talking about horses, not about the concept horse. (Recall the whiff of paradox, supra.)  What I don't understand are van Inwagen's examples of variably polyadic predicates.  Consider 'are ungulates.'  If an ungulate is just a mammal with hooves, then I fail to see how 'are ungulates' is polyadic, let alone variably polyadic.  'Are hooved mammals' is monadic.

The other example is 'Horses have an interesting evolutionary history.'  This sentence is clearly not about the concept horse. But it is not about any individual horse either.  Consider Harry the horse.  Harry has a history.  He was born in a certain place, grew up, was bought and sold, etc. and then died at a certain age.  He went through all sorts of changes.  But Harry didn't evolve, and so he had no evolutionary history.  No individual evolves; populations evolve:

Evolutionary change is based on changes in the genetic makeup of populations over time. Populations, not individual organisms, evolve. Changes in an individual over the course of its lifetime may be developmental (e.g., a male bird growing more colorful plumage as it reaches sexual maturity) or may be caused by how the environment affects an organism (e.g., a bird losing feathers because it is infected with many parasites); however, these shifts are not caused by changes in its genes. While it would be handy if there were a way for environmental changes to cause adaptive changes in our genes — who wouldn't want a gene for malaria resistance to come along with a vacation to Mozambique? — evolution just doesn't work that way. New gene variants (i.e., alleles) are produced by random mutation, and over the course of many generations, natural selection may favor advantageous variants, causing them to become more common in the population.

'Horses have an interesting evolutionary history,' then, is neither about the concept horse nor about any individual horse.  The predicate in this sentence appears to be non-distributive or collective.  It is like the predicate in 'Horses have been domesticated for millenia.'  That is certainly not about the concept horse.  No concept can be ridden or made to carry a load.  But it is also not about any individual horse.  Not even the Methuselah of horses, whoever he might be, has been around for millenia.

A predicate F is distributive just in case it is analytic that whenever some things are F, then each is F.  Thus a distributive predicate is one the very meaning of which dictates that if it applies to some things, then it applies to each of them.  'Blue' is an example.  If some things are blue, then each of them is blue.

If a predicate is not distributive, then it is non-distributive (collective).  If some Occupy-X nimrods have the building surrounded, it does not follow that each such nimrod has the building surrounded.  If some students moved a grand piano into my living room, it does not follow that each student did.  If bald eagles are becoming extinct, it does not follow that each bald eagle is becoming extinct.  Individual animals die, but no individual animal ever becomes extinct. If the students come from many different countries, it does not follow that each comes from many different countries.  If horses have an interesting evolutionary history, it does not follow that each horse has an interesting evolutionary history.

My problem is that I don't understand why van Inwagen gives the 'Horses have an interesting evolutionary history' example when he is committed to saying that each horse exists.  His view , I take it, is that 'exist(s)' is a first-level distributive predicate.  'Has an interesting evolutionary history,' however, is a first-level non-distributive predicate.  Or is it PvI's view that 'exist(s)' is a first-level non-distributive predicate?

Either I don't understand van Inwagen's position due to some defect in me, or it is incoherent.  I incline toward the latter.  He is trying to show that (ST1) does not entail (ST2).  He does this by giving examples of predicates that are first-level, i.e., apply to objects, but are variably polyadic as he claims 'the number of . . . is not zero' is variably polyadic.  But the only clear example he gives is a predicate that is non-distributive, namely 'has an interesting evolutionary history.'  'Horses exist,' however, cannot be non-distributive.  If some horses exist, then each of them exists.  And if each of them exists, then 'exists' is monadic, not polyadic, let alone variably polyadic.

Help in Resisting ‘Trumptation’

C. W. Cooke provides some:

. . . Trump is an entitled mess whose business record is so questionable that he managed to bankrupt a casino; that he is an unashamed fraud who didn’t even wait to be elected president before folding on Planned Parenthood and Obamacare, exactly like the “feckless” Congress he is running against; that he is feigning religiosity to appeal to people he believes are rubes; and, above all, that whatever he may be pretending now, he has spent a lifetime screwing the little guy. They must repeat verbatim his previous words on amnesty; they must outline in detail how his policies will make life worse for everyone; and they must point out that a Trump nomination designed to “mix things up” will result, eventually, in more of the same.

The View from Mount Zapffe: The Absurdity of Life and Intellectual Honesty

Gisle Tangenes describes the life and ideas of a cheerfully pessimistic, mountain-climbing Norwegian existentialist, pessimist, and anti-natalist, Peter Wessel Zapffe:

Thus the ‘thousand consolatory fictions’ that deny our captivity in dying beasts, afloat on a speck of dust in the eternal void. And after all, if a godly creator is waiting in the wings, it must be akin to the Lord in The Book of Job, since it allows its breathing creations to be “tumbled and destroyed in a vast machinery of forces foreign to interests.” Asserts Zapffe: “The more a human being in his worldview approaches the goal, the hegemony of love in a moral universe, the more has he become slipshod in the light of intellectual honesty.” The only escape from this predicament should be to discontinue the human race. Though extinction by agreement is not a terribly likely scenario, that is no more than an empirical fact of public opinion; in principle, all it would require is a global consensus to reproduce below replacement rates, and in a few generations, the likening of humankind would “not be the stars or the ocean sand, but a river dwindling to nothing in the great drought.”

So if you believe in a moral world order and the ultimate hegemony of love in the midst of all this misery and apparent senselessness, if you deny our irremediable "captivity in dying beasts," (what a great line!) then you  display a lack of intellectual honesty.  Let's think about this.

Zapffe quote BThe gist of Zapffe's s position as best I can make out from the fragments I have read is that our over-developed consciousness is an evolutionary fluke that makes us miserable by uselessly generating in us the conceit that we are more than animals and somehow deserving of something better than dying like an animal after some years of struggle. Giseles: "Evolution, he [Zapffe] argues, overdid its act when creating the human brain, akin to how a contemporary of the hunter, a deer misnamed the ‘Irish elk’, became moribund by its increasingly oversized antlers."  A powerful image.  The unfortunate species of deer, having evolved huge antlers for defense, cannot carry their weight and dies out in consequence.  Similarly with us.  We cannot carry the weight of the awareness born of our hypertrophic brains, an awareness that is not life-enhancing but inimical to life.

Human existence is thus absurd, without point or purpose.  For human existence is not a merely biological living, but a conscious and self-conscious living, a reflective and self-questioning living in the light of the 'knowledge' of good and evil.  Human existence is  a mode of existence in which one apperceives oneself as aware of moral distinctions and as free to choose right or wrong.  Whether or not we are really free, we cannot help but experience ourselves as free.  Having become morally reflective, man becomes self-questioning.  He hesitates, he feels guilty, his direct connection to life is weakened and in some cases destroyed.  He torments himself with questions he cannot answer.  The male beast in heat seizes the female and has his way with her.  He doesn't reflect or scruple.  'Respect for persons' does not hobble him.  The human beast, weakened by consciousness, self-consciousness, moral sensitivity, reason, objectivity, and all the rest, hesitates and moralizes — and the female gets away.

Zapffe quoteIn short, man is a sick animal weakened by an over-developed brain  who torments himself with questions about morality and ultimate meaning and then answers them by inventing consolatory fictions about God and the soul, or else about a future society in which the problem of meaning will be solved.  Either pie in the sky or pie in the future to be washed down with leftist Kool-Aid.  The truth, however, is that there is no ultimate meaning to be found either beyond the grave or this side of it.  The truth is that human existence — which again is not a merely biological living — is absurd.  And at some level we all know this to be the case.  We all know, deep down, that we are just over-clever land mammals without a higher origin or higher destiny.  One who will not accept this truth and who seeks to evade reality via religious and secular faiths is intellectually dishonest.  Antinatalism follows from intellectual honesty:  it is wrong to cause the existence of more meaningless human lives.  It is unfortunate that the human race came to be in the first place; the next best thing would be for it to die out.

Many of us have entertained such a dark vision at one time or another.  But does it stand up to rational scrutiny?  Could this really be the way things are?  Or is this dark vision the nightmare of a diseased mind and heart?

There are several questions we can ask.  Here I will consider only one: Can Zapffe legitimately demand intellectual honesty given his own premises?

The Demand for Intellectual Honesty

Zapffe thinks we ought to be intellectually honest and admit the absurdity of human existence.  This is presumably a moral ought, and indeed a categorical moral ought.  We ought to accept the truth, not because of some desirable consequence of accepting it, but because it is the truth.  But surely the following question cannot be suppressed:  What place is there in an amoral universe for objective moral oughts and objective moral demands?  No place at all.

Zapffe at deskIt is we who demand that reality be faced and it is we who judge negatively those we do not face it.  We demand truthfulness and condemn willful self-deception.  But these demands of ours are absurd demands if our mental life is an absurd excrescence of matter.  They would in that case have no objective validity whatsoever.  The absurdist cannot, consistently with his absurdism, make moral demands and invoke objective moral oughts.   He cannot coherently say: You ought to face the truth!  You ought not deceive yourself or believe something because it is consoling or otherwise life-enhancing.  Why should I face the truth? 

"Because it is the truth."

But this is no answer, but a miserable tautology.  The truth has no claim on my attention unless it is objectively valuable and, because objectively valuable, capable of generating in me an obligation to accept it.  So why should I accept the truth?

"Because accepting the truth will help you adapt to your environment."

But this is exactly what is not the case in the present instance.  The truth I am supposed to accept, namely, that my existence is meaningless, is inimical to my happiness and well-being.  After all, numerous empirical studies have shown that conservatives, who tend to be religious, are much happier than leftists who tend to be irreligious.  These people, from the absurdist perspective, fool themselves, but from the same perspective there can be no moral objection to such self-deception.

So again, assuming that human life is absurd, why should we accept rather than evade this supposed truth?

The absurdist cannot coherently maintain that one ought to be intellectually honest, or hold that being such is better than being intellectually dishonest.  Nor can he hold that humans ought not procreate.  Indeed, he cannot even maintain that it is an objectively bad thing that human existence is absurd.

The fundamental problem here is that the absurdist cannot coherently maintain that truth is objectively valuable.  In his world there is no room for objective values and disvalues. By presupposing that truth is objectively valuable and that our intellectual integrity depends on acknowledging it, he presupposes something inconsistent with his own premises.

"You are ignoring the possibility that objective values are grounded in objective needs.  We are organisms that need truth because we need contact with reality to flourish.  This is why truth is objectively valuable."

But again this misses the crucial point that on Zapffe's absurdism, acceptance of the truth about our condition is not life-enhancing, not conducive to our flourishing.  On the contrary, evasion of this 'truth' is life-enhancing.

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Addendum (2/25):  Karl White refers us to some translations of Zapffe.

What Sort of Prayer is Needed by the Desiccated Intellectual?

Which sort of prayer is appropriate for the proud intellectual?  Reginald Garrigou-Lagrange, The Three Ages of the Interior Life, vol. I (Catholic Way Publishing, 2013), p. 535:

Some souls absolutely need prayer, intimate and profound prayer; another form of prayer will not suffice for them.  There are very intelligent people whose character is difficult, intellectuals who will dry up in their work, in study, in seeking themselves therein in pride, unless they lead a life of true prayer, which for them should be a life of mental prayer.  It alone can give them a childlike soul in regard to God . . . .  It alone can teach them the profound meaning of Christ's words: "Unless you become as little children, you shall not enter into the kingdom of heaven."  It is, therefore, important, especially for certain souls, to persevere in prayer; unless they do so, they are almost certain to abandon the interior life and perhaps come to ruin.

The Univocity of ‘Exist(s)’: Obsessing Further

The general existential, 'Philosophers exist,' is reasonably construed as an instantiation claim:

G. The concept philosopher has one or more instances.

But a parallel construal seems to fail in the case of the singular existential, 'Socrates exists.'  For both of the following are objectionable:

S1.  The concept Socrates has one or more instances.

S2.  The concept Socrateity has one of more instances.

(S1) is objectionable because Socrates is not a concept (Begriff), but an object (Gegenstand), while (S2) is objectionable because there is no haecceity concept Socrateity (identity-with-Socrates), as I have already argued ad nauseam. (But see below for another go-round.)

On the other hand, 'exist(s)' across general and singular existentials would seem to be univocal in sense inasmuch as arguments like the following appear valid:

Philosophers exist
Socrates is a philosopher
————
Socrates exists.

Whatever the exact logical form of this argument, there does not seem to be an equivocation on 'exist(s)' or at least not one that would induce a quaternio terminorum.  (A valid syllogism must have exactly three terms; if there is an equivocation on one of them, then we have the quaternio terminorum, or four-term fallacy.)

Here then is the problem.  Is it possible to uphold a broadly Fregean understanding of 'exist(s)' while also maintaining the univocity of 'exist(s)' across general and singular existentials?  A broadly Fregean understanding is one that links existence with number.  The locus classicus is Frege, Foundations of Arithmetic, 65: 

In this respect existence is analogous to [hat Aehnlichkeit mit] number. Affirmation of existence is in fact nothing but denial of the number nought.  Because existence is a property of concepts the ontological argument for the existence of God breaks down.

To affirm the existence of philosophers, then, is to affirm that the number of philosophers is one or more, and to deny the existence of philosophers is to affirm that the number of philosophers is zero.  But then what are we saying of Socrates when we say that he exists?  That the number of Socrateses is one or more?  That can't be right:  'Socrates' is a proper name (Eigenname) not a concept-word (Begriffswort) like 'philosopher.'  It makes no sense to say that the number of Socrateses is one or more.  And when I say, with truth, that Socrates might never have existed, I am surely not saying that the number of Socrateses might always have been zero. 

London Ed doesn't see much of a problem here.  From his latest entry:

But why, from the fact that ‘Socrates’ is not a concept word, does it follow that there is no corresponding concept? [. . .] Why can’t ‘Socrates’ be semantically compound? So that it embeds a concept like person identical with Socrates, which with the definite article appended gives us ‘Socrates’?

From my point of view, Ed does not see the problem.  The problem is that if 'Socrates' expresses a concept, that concept can only be an haecceity concept, and there aren't any. It doesn't matter whether we call this concept 'Socrateity,' or 'person identical with Socrates.'

Ask yourself: Is the haecceity H of Socrates contingent or necessary?  Socrates is contingent.  And so one might naturally think that his haecceity must also be contingent.  For it is the ontological factor that makes him be this very individual and no other.  Haecceitas = thisness.  No Socrates, no haecceity of Socrates.  But then you can't say that the existence of Socrates is the being-instantiated of his haecceity, and the non-existence of Socrates is the non-instantiation of his haecceity.  For that presupposes that his haecceity exists whether or not he exists.  Which is absurd.

So haecceities must be necessary beings.  But now we have jumped from the frying pan into the fire.  Socrateity involves Socrates himself, that very individual, warts and all, mit Haut und Haar.  It is not a conjunction of multiply instantiable properties.  This is why identity — absolute numerical identity –is brought into the definition of H as, for example, 'person identical with Socrates.'  Hence an haecceity of a contingent being cannot be a necessary being.

The absurdity here is the attempt to make a necessarily existent abstract property out of a contingent concrete individual.  This is why I say that haecceity concepts/properties are metaphysical monstrosities.

It should also be pointed out that on a Fregean scheme, no concept is an object and no name is a predicate.  You cannot turn a name such as 'Socrates' into a predicate, which is what Ed is trying to do.

So the problem remains unsolved.  On the one hand, 'exist(s)' appears univocal across general and singular existentials.  And yet how can we make sense of this if we are not allowed to bring in haecceity properties?

Jeb Bush did not Suspend, he Ended his Campaign

In this Internet age the availability of accurate on-line dictionary definitions makes the misuse of language by so-called journalists inexcusable.  The Merriam-Webster's definition of 'suspend' receives the coveted MavPhil nihil obstat.  Suspensions are temporary.  But we all know, and Jeb! knows, that he ain't coming back, leastways not in this election cycle.

Part of the problem, I suspect, is that in this Age of Feeling, people are afraid to speak plainly and label things accurately.  What is manifestly an act of terrorism, for example, is labelled 'work-place violence.'  People are afraid to call a spade a spade.  Hell, they are afraid to use this very expression lest they be called a 'racist.'

And so, instead of stating bluntly that Mr. Bush quit, or gave up, one says euphemistically that he 'suspended' his campaign.  As if he needs a 'breather.'  It is on a par with saying, of Antonin Scalia, that he 'is no longer among us' as opposed to saying that he died.  Finality is not something we like facing up to.  One who is no longer among us may reappear; and he who suspends his campaign may soon be back in the race.

For reasons why it is good that Jeb Bush is out of the race, see here.

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Correction (23 February).  I got off a wild shot above in my zeal to oppose the misuse of language by journalists.  'Suspend' in the context of an election can be used in a technical sense.  A reader sends us here where we read:

Delegates:

Federal law plays no role in delegate selection rules. It's up to the party to decide how to treat delegates won by a candidate who has suspended his campaign. In general, candidates who suspend their campaigns get to keep any delegates they've won, while candidates who drop out have to forfeit certain delegates, usually statewide delegates.

Money:

"Suspending" a campaign allows a candidate to publicly withdraw from a race while preserving the ability to raise funds beyond what's needed to retire debt. This may include the ability to continue to receive federal matching funds, if the candidate has previously qualified for them.

When candidates announce they are dropping out or ending their campaigns, they may then only raise money to retire any remaining campaign debts or to pay for other costs related to shutting down a campaign committee. They may not continue to amass war chests beyond that if they drop out.

However, if a candidate "suspends" his campaign but doesn't officially end his candidacy, federal law does not specifically prohibit that candidate from continuing to raise funds for purposes other [than] debt retirement.

Candidates who "suspend" their campaigns as well as those who officially drop out must still continue to file disclosure reports, as long as they have an active campaign committee.

Antonin Scalia as Writer

Andrew Ferguson quotes the great jurist in The Justice as Writer:

. . . no construction should call attention to its own grammatical correctness. Finding no other formulation that could make the point in quite the way I wanted, I decided to be ungrammatical instead of pedantic.

A good rule, within limits.  The forward momentum of a sentence may be be impeded if you do not split an infinitive or use a contraction.  Your precision may distract; your use of 'one'  may strike the reader as precious.  Writing 'of which' instead of 'whose' may mark you as pedantic even if you have correct usage and logic on your side. We sometimes do well to thumb our noses at the strictures of the school marms while yet reverencing the old gals in our memories.  But now my style is about to slide into the sentimental as my mind drifts back to the dear old ladies who taught me and my mates to read and write.  So I take myself in hand, a bit too late perhaps.

A caveat, though, anent Scalia's rule.  As the culture declines and writing with it, you may not be able to help your constructions' calling attention to their grammatical correctness.  Nothing wrong with that.  Nothing wrong with standing for what is correct among barbarians.

Two sentence fragments in a row.  Nothing wrong with that with that either, in moderation.

'Anent,' 'caveat'?  Who am I trying to impress?  Well, not a barbarian like you, ignorant of his own tongue, whose literary intake is a Twitter feed.

Ferguson's "For a writer like Scalia, who prized the precise and the particular (and seldom succumbed to soupy alliteration) . . . ." both illustrates alliteration and puts me in mind of my own excessively alliterative style.

Laying down rules of style, however, is a risky game.  It is easy to fall into one's own traps, as does the great Orwell.

Advice for the Young

Beware of internalizing your parents' and relatives' attitudes, their harsh, unsympathetic, 'practical' attitudes and suggestions especially as regards what is tender, fledgling, open, searching, trusting, idealistic and unworldly in yourself.  Beware of dismissing or discounting your young self, the young self that was and the one that still is.  One must treat oneself critically but with sympathy.

Magnificent but Miserable

As magnificent a subject as philosophy is, grappling as it does with the ultimate concerns of human existence, and thus surpassing in nobility all other human pursuits, it is also miserable in that nothing goes uncontested, and nothing ever gets established to the satisfaction of all competent practitioners.  The magnificence and misery of philosophy reflect the magnificence and misery of its author man, who, neither animal nor angel, is the tension between the two and a question mark to himself.

Magnificent in aspiration, philosophy is yet miserable in execution.

William Ellery Channing on the Rude Machinery of Government

An important message for lefties and RINOs alike:

Another important step is a better comprehension by communities that government is at best a rude machinery, which can accomplish but very limited good, and which, when  strained to accomplish what individuals should do for  themselves, is sure to be perverted by selfishness to narrow purposes, or to defeat through ignorance its own ends. Man is too ignorant to govern much, to form vast plans for states and empires. Human policy has almost always been in conflict with the great laws of social well-being, and the less we rely on it the better. The less of power given to man over man the better. I speak, of course, of physical, political force. There is a power which cannot be accumulated to excess, — I mean moral power, that of truth and virtue, the royalty of wisdom and love, of magnanimity and true religion. This is the guardian of all right. It makes those whom it acts on free. (from Discourses on War.  HT: Dave Bagwill)