A St. Patrick's Day Feast, VII: Rifles
A Germanic Interlude
We interrupt today's Celtic feasting for an attempted conversation between and Old English speaker and an Old Norse speaker, to see if in fact they were mutually intelligible languages.
A St. Patrick’s Day Feast, III
A St. Patrick's Day Feast, II
Rio Grande
Now today is the right day to watch The Quiet Man, if you can. It is one of the greatest good movies ever made. But the Warner Bro's didn't think it could make any money, a movie about Irish Americans and Irishmen.
So they told John Ford and John Wayne that they had to make another movie, a cavalry movie, to fund their Irish movie. It turned out to make more by far than the very successful Rio Grande.
There's a small matter of fitness: can you ride like the ancient Romans?
Extended Waylon
Sovereign Crime
Your government, at the state and federal level, the FBI, government agencies can be in on the scam. That is the realization slowly being accepted by millions of Americans.We have technologies that can identify dead voters the moment they cast a ballot. We can identify people who are out-of-state, voted twice, are underage, live in a vacant lot or a UPS or FedEx postal box. We can even show a photo of that vacant lot so you can see where your fake neighbor claims to live.Literally, the second their ballot is counted, they can be flagged as a likely fraud.Yes, we can deploy that technology today....The question is, if the government is pretty much in on the election fraud, does it really matter?
It is important to note, however, that the government is not the sovereign. It may be that they have forgotten who the sovereign really is.
“Seeing as How it’s Near the 17th of March...”
A hand extended in honor of St. Patrick’s Day.
Not to spoil the fun, but the opening joke in that clip is immediately relevant to the Parmenides post below.
Plato's Parmenides IV: The Setup
These, Socrates, said Parmenides, are a few, and only a few of thedifficulties in which we are involved if ideas really are and we determineeach one of them to be an absolute unity. He who hears what may besaid against them will deny the very existence of them-and even ifthey do exist, he will say that they must of necessity be unknownto man; and he will seem to have reason on his side, and as we wereremarking just now, will be very difficult to convince; a man mustbe gifted with very considerable ability before he can learn thateverything has a class and an absolute essence; and still more remarkablewill he be who discovers all these things for himself, and havingthoroughly investigated them is able to teach them to others.I agree with you, Parmenides, said Socrates; and what you say is verymuch to my mind.And yet, Socrates, said Parmenides, if a man, fixing his attentionon these and the like difficulties, does away with ideas of thingsand will not admit that every individual thing has its own determinateidea which is always one and the same, he will have nothing on whichhis mind can rest; and so he will utterly destroy the power of reasoning,as you seem to me to have particularly noted.
I mean, for example, that in the case of this very hypothesis of Zeno'sabout the many, you should inquire not only what will be the consequencesto the many in relation to themselves and to the one, and to the onein relation to itself and the many, on the hypothesis of the beingof the many, but also what will be the consequences to the one andthe many in their relation to themselves and to each other, on theopposite hypothesis. Or, again, if likeness is or is not, what willbe the consequences in either of these cases to the subjects of thehypothesis, and to other things, in relation both to themselves andto one another, and so of unlikeness; and the same holds good of motionand rest, of generation and destruction, and even of being and not-being.In a word, when you suppose anything to be or not to be, or to bein any way affected, you must look at the consequences in relationto the thing itself, and to any other things which you choose-to eachof them singly, to more than one, and to all; and so of other things,you must look at them in relation to themselves and to anything elsewhich you suppose either to be or not to be, if you would train yourselfperfectly and see the real truth.
That, Parmenides, is a tremendous business of which you speak, andI do not quite understand you; will you take some hypothesis and gothrough the steps?-then I shall apprehend you better.That, Socrates, is a serious task to impose on a man of my years.
Politicizing the Military
I don't know how much attention this stuff gets, but it really is both stupid and illegal. It's not just the praetorian guard stuff they're pulling with the National Guard deployment to DC, either. This weekend there were several stunts in which military personnel and leadership deployed as political weapons against American citizens who disagree with the current government.
Illegal:
Here's the military publication cited in that last. The conduct is not illegal because the publication says so; the publication says so because it's illegal. The general officer who signed that document is none other than our current Secretary of Defense, Lloyd Austin, currently overseeing what increasingly looks like an opportunity to purge right-wing views from the military.
The leadership, at least, has internalized that it is their job to parrot political support for the administration and mock its enemies. The fact that this is illegal will only matter if laws are still being enforced -- well, I mean, obviously they would be against you. It does seem like the lesson of the last few years, though, is that the FBI and the DOJ work for the political establishment: they exist to excuse their crimes, but punish their enemies. Has the military legal sphere fallen as well? Signs point to "yes."
"Get right before you get left, boomer." From an official USMC account. A lot of those Boomers were Marines too, and they fought a harder war in Vietnam than we ever faced.
What About Confession? What Do You Think Confession's For?
When Catholics receive Communion, they must strive to do so “worthily,” meaning they have repented of their sins and desire to live in keeping with the teachings of the Catholic Church. In the Bible, the apostle Paul warns of grave consequences for those who take Communion unworthily. But Naumann is also worried about the message Biden communicates to other Catholics when he takes Communion while continuing to support abortion rights: “Whether he intends it or not, he’s basically saying to people, ‘You can be a good Catholic and do similar things,’” [Archbishop] Naumann told me.
Boo
It’s been a minute since a singer could get away with calling himself “Stonewall Jackson,” but I remember hearing this on the radio.
Ancient Greek Computation
The Present Regime, circa 2016
Worth reconsidering in light of the present moment, and the last several years -- or even the last six months. I am posting it here because I haven't time to read it this morning, and want to get back to it when I do have time.
UPDATE: Also interesting is the Codevilla essay it begins with -- again, this is 2016 -- that declares that Trump will be the end of America as a republic.
Mind-Blindness
A Curfew on Men
The Dead South
That's no reason why they cain't be friends
Plato's Parmenides III: Greater Difficulties
Then if the most perfect mastership and most perfect knowledge are in the god's world, the gods' mastership can never be exercised over us, nor their knowledge know us or anything in our world. Just as we do not rule over them by virtue of rule as it exists in our world, and we know nothing that is divine by our knowledge, so they, on the same principle, being gods, are not our masters nor do they know anything of human concerns.
The Ballad of Pancho and Lefty
A sad song, all around; perhaps especially in its embrace of betrayal of friendship to power and wealth.
They're right: Lefty needs your prayers, far more than Pancho Villa, who was not merely a bandit as according to the American understanding. He was a constitutionalist, even; for a while.
Federalism?
Oh, Really?
In the days before the election, Wisconsin gave a Democratic activist the keys to the room where absentee ballots were stored.
Plato's Parmenides II: The First Difficulties
Parmenides takes over the questioning of Socrates, to explore the difficulties of the theory of Forms -- but along the way, he illuminates what the Forms must be like if they do in fact exist.
Soc: I am afraid that there would be an absurdityin assuming any idea of them, although I sometimes get disturbed,and begin to think that there is nothing without an idea; but thenagain, when I have taken up this position, I run away, because I amafraid that I may fall into a bottomless pit of nonsense, and perish;and so I return to the ideas of which I was just now speaking, andoccupy myself with them.Par: Yes, Socrates, said Parmenides; that is because you are still young;the time will come, if I am not mistaken, when philosophy will havea firmer grasp of you, and then you will not despise even the meanestthings; at your age, you are too much disposed to regard opinionsof men.
Well, said Parmenides, and what do you say of another question?What question?I imagine that the way in which you are led to assume one idea ofeach kind is as follows: -You see a number of great objects, and whenyou look at them there seems to you to be one and the same idea (ornature) in them all; hence you conceive of greatness as one.Very true, said Socrates.And if you go on and allow your mind in like manner to embrace inone view the idea of greatness and of great things which are not theidea, and -to compare them, will not another greatness arise, whichwill appear to be the source of all these?
Medical censorship
Striking Back Against Big Tech
Karen Hao in the MIT Technology Review has an interesting article titled "How to poison the data that Big Tech uses to surveil you."
Data strikes, data poisoning, and intentional data contribution to competitors, explained and discussed.
A Permanent Praetorian Guard
The task force established to review how to protect Congress from the American people calls for a permanent military presence.
Georgia Update: 404,000 Ballots Lack Chain of Custody
Plato's Parmenides, I
With all of that mental furniture about Zeno in place, it will be much easier to tackle the Parmenides. We will nevertheless do it in stages, because it is one of the deepest of the dialogues.
I think I'm going to do this as a direct encounter with the dialogue first, so that it's just you and me reading it and discussing it together. After that, we can look at other accounts of it. For now, you don't need anything that you won't find either here or in the dialogue.
The dialogue begins many years after the discussion between Socrates and Zeno and Parmenides. Several travelers come to Athens to hear the account of the discussion they had -- not from anyone who was there, because it was too long ago, but from a man who knew a man who was there. This underlines the importance of oral culture to this period of Ancient Greece, which was discussed in the prefaces. They clearly have confidence that the recitation will be accurate, and it probably more or less is; in Iraq, where oral culture remains strong among the tribes, the witness accounts of a bargain is considered more accurate than a written version of the agreement. The honor of the men, and their oath that they are speaking accurately and honestly, is thought a better guarantee than a paper that might be altered by anyone.
He told us that Pythodorus had described to him the appearance of Parmenides and Zeno; they came to Athens, as he said, at the great Panathenaea; the former was, at the time of his visit, about 65 years old, very white with age, but well favoured. Zeno was nearly 40 years of age, tall and fair to look upon; in the days of his youth he was reported to have been beloved by Parmenides. He said that they lodged with Pythodorus in the Ceramicus, outside the wall, whither Socrates, then a very young man, came to see them, and many others with him; they wanted to hear the writings of Zeno, which had been brought to Athens for the first time on the occasion of their visit. These Zeno himself read to them in the absence of Parmenides, and had very nearly finished when Pythodorus entered, and with him Parmenides and Aristoteles who was afterwards one of the Thirty, and heard the little that remained of the dialogue. Pythodorus had heard Zeno repeat them before.
Plato gives us a chance to get comfortable with these people, to know them not just as advocates for ideas but as human beings who lived and breathed, loved and fought. The mention of 'the Thirty' reminds us also that they sometimes killed each other, and turned to tyranny and violence as well as philosophy. Zeno will portray his ideas as a youthful defense of his master, Parmenides, who is also his lover.
If you've read the three preface pieces below, you are better positioned to follow what Socrates and Zeno discuss as an opening.
Socrates requested that the first thesis of the first argument might be read over again, and this having been done, he said: What is your meaning, Zeno? Do you maintain that if being is many, it must be both like and unlike, and that this is impossible, for neither can the like be unlike, nor the unlike like-is that your position?
Just so, said Zeno.
And if the unlike cannot be like, or the like unlike, then according to you, being could not be many; for this would involve an impossibility. In all that you say have you any other purpose except to disprove the being of the many? and is not each division of your treatise intended to furnish a separate proof of this, there being in all as many proofs of the not-being of the many as you have composed arguments? Is that your meaning, or have I misunderstood you?
No, said Zeno; you have correctly understood my general purpose.
Consider Aristotle's discussion of a thing moving from being white to being non-white (e.g., a man obtaining a suntan). If the man is one, i.e. the same man, then he can't really move to being unlike himself. The man who has beet red skin is unlike the man who had white skin. Thus, if he is both like himself (the same man) and unlike himself (the 'two' men have differently colored skin). The man cannot be both 'like' and 'unlike' himself; this is because 'the like' and 'the unlike' are contradictions. Thus there can only be one man, not two; and he cannot change from the one to the other, because he would have to pass through stages of being unlike himself.
A similar argument is at work here. There cannot be many things, like there cannot be 'two' men, because if there were they would have to be like and unlike each other. We don't have Zeno's account of why this is. A plausible reconstruction: because to recognize two birds as 'two birds,' we would have to say that they are like each other to say both are birds. Yet they must also be unlike in order to be two different birds. Thus they must be like and unlike at the same time, which is a contradiction.
Socrates is going to propose a novel attack on this idea of contradictions arising from the discussion of things moving or being many. This either becomes the Platonic idea of Forms (if Plato is accurately recounting Socrates' discussion) or is that idea (if Plato is reading it back into the discussion).
[T]ell me, Zeno, do you not further think that there is an idea of likeness in itself, and another idea of unlikeness, which is the opposite of likeness, and that in these two, you and I and all other things to which we apply the term many, participate-things which participate in likeness become in that degree and manner like; and so far as they participate in unlikeness become in that degree unlike, or both like and unlike in the degree in which they participate in both? And may not all things partake of both opposites, and be both like and unlike, by reason of this participation?-Where is the wonder? Now if a person could prove the absolute like to become unlike, or the absolute unlike to become like, that, in my opinion, would indeed be a wonder; but there is nothing extraordinary, Zeno, in showing that the things which only partake of likeness and unlikeness experience both. Nor, again, if a person were to show that all is one by partaking of one, and at the same time many by partaking of many, would that be very astonishing. But if he were to show me that the absolute one was many, or the absolute many one, I should be truly amazed.
"An idea of X in itself," and all similar formulations, are going to end up equivalent to "there exists a Form of X." I shall indicate that by capitalizing the first letter when talking about the Form of something like Likeness rather than, say, an instance of likeness. What Socrates is saying is that the likeness of the birds isn't really contradictory to their unlikeness; rather, Likeness and Unlikeness are contradictories. But the birds merely participate in Likeness to some degree, and also in Unlikeness to some degree. Thus, there is no logical contradiction implied, because the birds aren't contraries; and they don't fully participate in either of the Forms.
Plato intends to argue that the Forms are metaphysically real, indeed more real than you or I. You don't have to go that far to see value in this argument. For example, treat them as merely psychological facts rather than metaphysical entities. Let me draw an example.
Consider three houses, two of which were built on the same pattern by the same builder, but one of which is painted red and the other is painted green. The third house is different in pattern and builder from the other two, but is also painted red like the first house. Now the red houses are alike in being red, and unlike the green house. But the two houses that are on the same pattern are alike in design (and perhaps in purpose -- more on that shortly), but unlike in color.
Now our idea (not in this paragraph used to mean 'Form') that the two houses are like in color really does exist in our mind. When we are thinking about what makes them alike, we note this feature of color. But the color is manufactured by our minds, out of evidence collected by our eyes as interpreted by our brains. You might think that their physical layout is a more pragmatic fact, but 'design' is an intelligible layout that was first in the mind of the builder. If it is in the houses now, it is because he put it there. Thus, their likeness in all cases is a product of mind; and our ability to say that they are alike is itself the product of our idea of what would make two things alike. By the same token, our idea that they are different comes from our notion of what it would mean for two things to differ. Thus, the ideas of likeness and unlikeness do exist separately from the houses; they exist in our minds, while the houses are in the world.
One possibility is that Plato may be mistaking physical/psychological differences for metaphysical differences. You'll have to sort out what you believe about the metaphysical claims as we read this dialogue. But to complicate that process a bit further, let's talk about whether or not there really are three things here, or only two.
Back in the first preface, I gave a plausible account of what it means for there to be different things:
It seems like there are obviously many things, though. You can look around you and see what appear to be many different things. In my vision right now are this computer, a coffee cup with a skull and crossbones on it, and a Gerber Applegate-Fairbairn combat knife. It seems like these are several separate things, not just because they don't appear to be touching, but because my mind knows what each of these artifacts is for and it's not the same thing. Since each artifact has a distinct purpose, it must have a distinct reason for having come into being; and thus, since each thing was made at a different time for a different reason, it follows that they must be different things.
Say the two houses that are alike in design were built by the same builder, at the same time, and for the same purpose: to fulfill a contract to a purchaser who wanted to put his family in the two structures. If that is true, then they came into being in the same way at the same time and for the same purpose. In that way, they are plausibly one thing: one work, which was done for one purpose. Indeed, the builder had one purpose -- to make money -- and the purchaser also had one purpose -- to house his family.
Yet they are also plausibly two things: two houses, which are unlike in being physically separate and also in having been painted different colors.
I think the intuitive thing most people would say is that the 'twoness' of them overrides the 'oneness' of the purpose; of the design; the unity of their coming-to-be; the oneness of the work of their author. And yet we might even talk about them as being one thing if we were giving an account of the development of the neighborhood: "The Morgan estate was built in 1943 by Bob Roy, with stone he brought up from the White River, timber milled on the property, and roof tiles they baked out of the mud." In that way, what we would intuitively describe as two (houses) becomes one (estate), and is sensibly treated as a single entity.
So which is it? A single thing? Two things? Is the difference metaphysical or psychological? Which one is the 'real' thing, and which one(s) are just ways of speaking or thinking about the things that really exist?
Aristotle EN
Hot Air links this discussion on lessons for post-pandemic life:
Life events play a role in happiness. The pandemic darkened spirits, but also gave people a chance to rethink what is truly important and makes them happy. It remains to be seen whether a renewed sense of gratitude for simple things, like having a cup of coffee with friends, outlasts the pandemic. Sustaining a sense of well-being can be harder than achieving it, psychologists say. People fall back into routines and get caught up with busy lives. While the pandemic has forever changed so many aspects of life—work, family and play—they say sustaining satisfaction with life, even amid its difficulties and negative emotions, requires practice and intention.
Mary Pipher, clinical psychologist and author of “Women Rowing North” and “Reviving Ophelia,” says the pandemic underscored what she long believed: that happiness is a choice and a skill. This past Christmas, she and her husband spent the day alone in their Lincoln, Neb., home, without family and friends, for the first time since their now adult children were born. “I thought, ‘What are we going to do?’ We went out for a walk on the prairie and saw buffalo. I ended up that day feeling really happy.”
Welcome to Aristotelian philosophy. I guess it would be a great gift if this most important lesson were rediscovered.
When I was a young college student, many years ago, a professor put it this way: "Aristotle explained that happiness is an activity" -- here he had my interest, as I knew I wanted to be happy -- "and the particular activity it is" -- here he had my attention -- "is the pursuit of excellence."
Now what is meant by "excellence" is arete, which is given by the Latins as virtus, but "virtue" doesn't really capture what Aristotle was after. Virtue has the connotation in English of moral uprightness; in Latin, of manhood. What Aristotle meant was to learn to grasp what was the very best thing to do in every case, and then to do it. The discerning of the good is a part of it; and the doing of the good is the other part.
Some days, the best thing you could do is to take a walk with your husband, and see some buffalo.
Very large telescopes
Failure
The weird thing is, the sticking point for the mother of the Baltimore high school senior seems not to be that he's 18 now and hasn't learned anything, or that she's not allowed to send him to a school that actually functions, but that he's being "punished" by being sent back to 9th grade after being socially promoted for years.
“Why would he do three more years in school? He didn’t fail, the school failed him. The school failed at their job. They failed. They failed, that’s the problem here. He didn’t deserve that. He’s a good kid. Where’s the mentors? Where is the help for him? I hate that this is happening to my child,” said an emotional France.She never minded before that he wasn't learning anything and failed nearly all of his classes. It's just that now he doesn't get a diploma.
The 'Praetorian' Guard
Tens of thousands of National Guard troops who deployed to Washington, D.C., ahead of a 2021 inauguration under threat of violence are eligible for a brand-new award in recognition of their service..."In recognition of their service as part of the security mission at the U.S. Capitol and other facilities in Washington, D.C., before, during and after the 59th Presidential Inauguration, the District of Columbia National Guard plans to present all Soldiers and Airmen who took part in the mission one or both of the following decorations: the District of Columbia National Guard Presidential Inauguration Support Ribbon and/or the District of Columbia Emergency Service Ribbon," Air Force Lt. Col. Robert Carver, spokesman for the Virginia Air National Guard and director of Joint Task Force-DC Joint Information Center, said in a statement.
Sounds familiar.
The Praetorian Guard (Latin: cohortes praetoriae) was an elite unit of the Imperial Roman army whose members served as personal bodyguards and intelligence for Roman emperors. During the era of the Roman Republic, the Praetorians served as a small escort force for high-ranking officials such as senators or provincial governors like procurators, and also serving as bodyguards for high-ranking officers within the Roman legions. With the republic's transition into the Roman Empire, however, the first emperor, Augustus, founded the Guard as his personal security detail.
The American Republic may well have ended with the 'fortified' election of 2020. In retrospect, we may mark this passage as having been as firm a transition to something else as we now mark Augustus' rise as the end of the Roman Republic.
More Dolly
Gringo said...So watch this old video Instapundit found. That's her at 14, playing for one of Cas Walker's shows.The link, to a TV news short, had the video but had most of her singing erased in favor of announcer comments. Here is the the video with all of Dolly's singing. Much better than listening to a talking head's blather. WIVK-Radio Remote with Cas Walker and Dolly Parton 1961.
Like Aggie, I don't listen much to Dolly Parton-I prefer Western Swing- but have a lot of respect for her. (I worked with an accountant who had Dolly as a client.She had nothing but good to say about her interactions with Dolly.) That being said, Dolly's soulful singing at age 14 floored me. That is talent!
Plato's Parmenides, Preface: Zeno III, Aristotle II
We may start as follows: we have three points, starting-point, middle-point, and finishing-point, of which the middle-point in virtue of the relations in which it stands severally to the other two is both a starting-point and a finishing-point, and though numerically one is theoretically two. We have further the distinction between the potential and the actual. So in the straight line in question any one of the points lying between the two extremes is potentially a middle-point: but it is not actually so unless that which is in motion divides the line by coming to a stand at that point and beginning its motion again: thus the middle-point becomes both a starting-point and a goal, the starting-point of the latter part and the finishing-point of the first part of the motion. This is the case e.g. when A in the course of its locomotion comes to a stand at B and starts again towards G: but when its motion is continuous A cannot either have come to be or have ceased to be at the point B: it can only have been there at the moment of passing, its passage not being contained within any period of time except the whole of which the particular moment is a dividing-point.
The same method should also be adopted in replying to those who ask, in the terms of Zeno’s argument, whether we admit that before any distance can be traversed half the distance must be traversed, that these half-distances are infinite in number, and that it is impossible to traverse distances infinite in number-or some on the lines of this same argument put the questions in another form, and would have us grant that in the time during which a motion is in progress it should be possible to reckon a half-motion before the whole for every half-distance that we get, so that we have the result that when the whole distance is traversed we have reckoned an infinite number, which is admittedly impossible. Now when we first discussed the question of motion we put forward a solution of this difficulty turning on the fact that the period of time occupied in traversing the distance contains within itself an infinite number of units: there is no absurdity, we said, in supposing the traversing of infinite distances in infinite time, and the element of infinity is present in the time no less than in the distance.
But, although this solution is adequate as a reply to the questioner (the question asked being whether it is possible in a finite time to traverse or reckon an infinite number of units), nevertheless as an account of the fact and explanation of its true nature it is inadequate. For suppose the distance to be left out of account and the question asked to be no longer whether it is possible in a finite time to traverse an infinite number of distances, and suppose that the inquiry is made to refer to the time taken by itself (for the time contains an infinite number of divisions): then this solution will no longer be adequate, and we must apply the truth that we enunciated in our recent discussion, stating it in the following way.
In the act of dividing the continuous distance into two halves one point is treated as two, since we make it a starting-point and a finishing-point: and this same result is also produced by the act of reckoning halves as well as by the act of dividing into halves. But if divisions are made in this way, neither the distance nor the motion will be continuous: for motion if it is to be continuous must relate to what is continuous: and though what is continuous contains an infinite number of halves, they are not actual but potential halves. If the halves are made actual, we shall get not a continuous but an intermittent motion. In the case of reckoning the halves, it is clear that this result follows: for then one point must be reckoned as two: it will be the finishing-point of the one half and the starting-point of the other, if we reckon not the one continuous whole but the two halves. Therefore to the question whether it is possible to pass through an infinite number of units either of time or of distance we must reply that in a sense it is and in a sense it is not. If the units are actual, it is not possible: if they are potential, it is possible.
For in the course of a continuous motion the traveller has traversed an infinite number of units in an accidental sense but not in an unqualified sense: for though it is an accidental characteristic of the distance to be an infinite number of half-distances, this is not its real and essential character.
It is also plain that unless we hold that the point of time that divides earlier from later always belongs only to the later so far as the thing is concerned, we shall be involved in the consequence that the same thing is at the same moment existent and not existent, and that a thing is not existent at the moment when it has become. It is true that the point is common to both times, the earlier as well as the later, and that, while numerically one and the same, it is theoretically not so, being the finishing-point of the one and the starting-point of the other: but so far as the thing is concerned it belongs to the later stage of what happens to it.
This argument is closer to the 'theoretical, not real' move. If we make all these theoretical divisions, Aristotle says, we fall into logical contradictions. For example, if every moment that is numerically one is treated as 'really' two, both a start and an end, then the moment at which a thing finishes coming to be is also a moment at which it isn't, quite yet.
But this is no answer to Zeno! His whole point was that our account of motion (including any sort of coming-to-be, which can be discussed as a kind of motion) leads to logical contradictions. Aristotle argues that the fact that the contradictions pop up is a reason to dismiss the idea that these divisions as fully real; Zeno's point is that the contradictions come up whenever we try to discuss the ways motion could occur. They're only differing over whether to dismiss the motion as a consequence of the logical contradictions, or to dismiss the reality of our theoretical framework.
This does not get better in the longer explication of it, in which Aristotle briefly introduces 'time atoms' of the sort he rejected in the Physics 6 argument I treated the last time.
Let us suppose a time ABG and a thing D [i.e. "Delta"; and note that for some reason Gamma has to be between Alpha and Beta for this argument to work as a line --Grim], D being white in the time A and not-white in the time B. Then D is at the moment G white and not-white: for if we were right in saying that it is white during the whole time A, it is true to call it white at any moment of A, and not-white in B, and G is in both A and B. We must not allow, therefore, that it is white in the whole of A, but must say that it is so in all of it except the last moment G. G belongs already to the later period, and if in the whole of A not-white was in process of becoming and white of perishing, at G the process is complete. And so G is the first moment at which it is true to call the thing white or not white respectively. Otherwise a thing may be non-existent at the moment when it has become and existent at the moment when it has perished: or else it must be possible for a thing at the same time to be white and not white and in fact to be existent and non-existent. Further, if anything that exists after having been previously non-existent must become existent and does not exist when it is becoming, time cannot be divisible into time-atoms. For suppose that D was becoming white in the time A and that at another time B, a time-atom consecutive with the last atom of A, D has already become white and so is white at that moment: then, inasmuch as in the time A it was becoming white and so was not white and at the moment B it is white, there must have been a becoming between A and B and therefore also a time in which the becoming took place. On the other hand, those who deny atoms of time (as we do) are not affected by this argument: according to them D has become and so is white at the last point of the actual time in which it was becoming white: and this point has no other point consecutive with or in succession to it, whereas time-atoms are conceived as successive. Moreover it is clear that if D was becoming white in the whole time A, the time occupied by it in having become white in addition to having been in process of becoming white is no more than all that it occupied in the mere process of becoming white.
A Cultural Misunderstanding
A Noteworthy Improvement
Dolly Parton is a Good Woman
Philosophy Break
Another Big Think Piece on COVID
I lost interest in this a long time ago, but everyone I know is sending it to me today because they remember me saying this part of it way back when:
Sometimes, experts and the public discussion failed to emphasize that we were balancing risks, as in the recurring cycles of debate over lockdowns or school openings. We should have done more to acknowledge that there were no good options, only trade-offs between different downsides. As a result, instead of recognizing the difficulty of the situation, too many people accused those on the other side of being callous and uncaring.
Well, I guess it's good people are coming around to the idea now, I guess. There's some nice talk about how the open spaces of the world are probably pretty safe most of the time, which is good to hear said in the hope that the Karens of the world might come to believe it.
UPDATE: This piece, also sent me today, has an interesting claim about mass transit including about the Japanese trains we were interested in at one time.
As long as people wear masks and don’t lick one another, New York’s subway-germ panic seems irrational. In Japan, ridership has returned to normal, and outbreaks traced to its famously crowded public transit system have been so scarce that the Japanese virologist Hitoshi Oshitani concluded, in an email to The Atlantic, that “transmission on the train is not common.” Like airline travelers forced to wait forever in line so that septuagenarians can get a patdown for underwear bombs, New Yorkers are being inconvenienced in the interest of eliminating a vanishingly small risk.
Plato's Parmenides Preface: Zeno II & Aristotle I
Sticking with the same two sources as yesterday, the Stanford article (by one John Palmer) and Aristotle's Physics 6, I'll now walk through how Aristotle treats Zeno's arguments.
Note that the Stanford article doesn't seem to think Aristotle was fair to Zeno. He objects to Aristotle's "incomplete presentation," which doesn't offer any "indication of how these four arguments might have functioned within the kind of dialectical scheme indicated by Plato’s Parmenides." This is part of a general concern he raises about how these arguments are "reconstructed." A point I think is worth raising is that the "reconstruction" seems to have started immediately:
Furthermore, Aristotle implies that people were reworking Zeno’s arguments soon after they were first propounded. In Physics 8.8, after giving a basic reconstruction of the so-called Stadium paradox (see below, sect. 2.2.1) recalling its presentation in Physics 6.9, Aristotle then notes that some propound the same argument in a different way; the alternative reconstruction he then describes (Arist. Ph. 8.8, 263a7–11) is in effect a new version of the original argument.
Now, plausibly the reason for this rapid "reconstruction" was the lack of reliable accounts of exactly what Zeno said, given the mostly oral and somewhat limited writing culture of ancient Greece. I reject this as likely, however; the best exploration of the oral culture of ancient Greece I know is Albert Lord's The Singer of Tales, which demonstrates inter alia that these oral approaches worked very well at preserving important details. They could widely alter stories in length, judging the importance of audience attention and interest, but even the abbreviated versions would be accurate to the heart of the story.
Rather, I think it is likely that the original forms of Zeno's paradoxes were rapidly disposed of by the brilliant thinkers of Socrates' and Plato's generation. What most likely happened, and what I suspect Aristotle is noting, is that other thinkers were finding more plausible ways of arguing for the point that Zeno had made. "He who strives for the stars may stumble on a straw," and perhaps Zeno's striving at his highly original arguments missed a few things; but people who weren't satisfied with the easy out constructed sounder proofs of the same point.
In any case, take it as read that we only have the one thing (from yesterday) that we think is what Zeno really said; but also that these arguments are interesting enough that even if you find a way to 'resolve' them you shouldn't set them aside. Maybe someone could find a way to resolve your resolution, too; maybe there's another approach that makes the argument better. It seems to me as if that was probably a big part of the program in what was one of the most interesting times and places for debate in human history.
So, on to the first problem:
Aristotle begins this part of his Physics with a more basic approach to explaining how things function. He is going to need this furniture to reject some of Zeno's arguments, so it makes sense to lay it out. He begins the book with a discussion of the nature of a contiuum.
Now if the terms 'continuous', 'in contact', and 'in succession' are understood as defined above things being 'continuous' if their extremities are one, 'in contact' if their extremities are together, and 'in succession' if there is nothing of their own kind intermediate between them-nothing that is continuous can be composed 'of indivisibles': e.g. a line cannot be composed of points, the line being continuous and the point indivisible. For the extremities of two points can neither be one (since of an indivisible there can be no extremity as distinct from some other part) nor together (since that which has no parts can have no extremity, the extremity and the thing of which it is the extremity being distinct).
The number line is a standard contemporary example of a continuum, but again it can be conceptually distracting because it is different from the physical objects under discussion. For example, a number line has not got extremities; it is infinitely extensive in both directions. For Aristotle, the open air might constitute a continuum; a stretch of ground might be thought of that way (as indeed he shall use it in a moment). The stretch begins here and finishes there, but we can talk and think about it as one thing that stretches for however long it does, rather than a bunch of pieces of ground next to one another.
Nevertheless, Aristotle is definitely doing the thing I'm trying to be careful not to do, which is mixing mathematical and physical concepts A line cannot be composed of points, and a line drawn across the ground is a continuum that is composed of ground, not of the points on the line drawn across it.
So the first paradox is the paradox of motion. I won't block-quote the Stanford discussion of this paradox because it is easily linked, but it may be helpful to read it first because it's a good summary of the problem. Here is what Aristotle says about it.
Hence Zeno's argument makes a false assumption in asserting that it is impossible for a thing to pass over or severally to come in contact with infinite things in a finite time. For there are two senses in which length and time and generally anything continuous are called 'infinite': they are called so either in respect of divisibility or in respect of their extremities. So while a thing in a finite time cannot come in contact with things quantitatively infinite, it can come in contact with things infinite in respect of divisibility: for in this sense the time itself is also infinite: and so we find that the time occupied by the passage over the infinite is not a finite but an infinite time, and the contact with the infinites is made by means of moments not finite but infinite in number.
The passage over the infinite, then, cannot occupy a finite time, and the passage over the finite cannot occupy an infinite time: if the time is infinite the magnitude must be infinite also, and if the magnitude is infinite, so also is the time. This may be shown as follows. Let AB be a finite magnitude, and let us suppose that it is traversed in infinite time G, and let a finite period GD of the time be taken. Now in this period the thing in motion will pass over a certain segment of the magnitude: let BE be the segment that it has thus passed over. (This will be either an exact measure of AB or less or greater than an exact measure: it makes no difference which it is.) Then, since a magnitude equal to BE will always be passed over in an equal time, and BE measures the whole magnitude, the whole time occupied in passing over AB will be finite: for it will be divisible into periods equal in number to the segments into which the magnitude is divisible. Moreover, if it is the case that infinite time is not occupied in passing over every magnitude, but it is possible to ass over some magnitude, say BE, in a finite time, and if this BE measures the whole of which it is a part, and if an equal magnitude is passed over in an equal time, then it follows that the time like the magnitude is finite. That infinite time will not be occupied in passing over BE is evident if the time be taken as limited in one direction: for as the part will be passed over in less time than the whole, the time occupied in traversing this part must be finite, the limit in one direction being given. The same reasoning will also show the falsity of the assumption that infinite length can be traversed in a finite time. It is evident, then, from what has been said that neither a line nor a surface nor in fact anything continuous can be indivisible.
This conclusion follows not only from the present argument but from the consideration that the opposite assumption implies the divisibility of the indivisible. For since the distinction of quicker and slower may apply to motions occupying any period of time and in an equal time the quicker passes over a greater length, it may happen that it will pass over a length twice, or one and a half times, as great as that passed over by the slower: for their respective velocities may stand to one another in this proportion. Suppose, then, that the quicker has in the same time been carried over a length one and a half times as great as that traversed by the slower, and that the respective magnitudes are divided, that of the quicker, the magnitude ABGD, into three indivisibles, and that of the slower into the two indivisibles EZ, ZH. Then the time may also be divided into three indivisibles, for an equal magnitude will be passed over in an equal time. Suppose then that it is thus divided into KL, Lm, MN. Again, since in the same time the slower has been carried over Ez, ZH, the time may also be similarly divided into two. Thus the indivisible will be divisible, and that which has no parts will be passed over not in an indivisible but in a greater time. It is evident, therefore, that nothing continuous is without parts.
The basic point that Aristotle is making here is that time and space are both divisible magnitudes, and that they are what I would call "geared together." That is, because motion in space also entails motion in time, you don't get a paradox of the sort Zeno is trying to set up. However long it takes to travel across the infinite divisions occupies enough of the equally infinitely divisible magnitude of time to allow for it.
(Contemporary physics offers us "spacetime," which makes this point that time and space are geared together even more emphatically.)
The other point that Aristotle wants to clarify is that both of these 'infinitely divisible' magnitudes are not made up of indivisibles: "the line is not made up of points," and time is not made up of indivisible moments of 'now.' Properly a point doesn't belong to the same dimension as physical reality; it exists here only conceptually, as a one dimensional point on a two-dimensional line in what is actually three dimensional space (or four dimensional spacetime, perhaps). The error of assuming that the points are fundamental to the line drawn across the space is what gives rise to the error that Zeno is propounding.
This turns out to be Aristotle's resolution of another of Zeno's paradoxes, which he disposes of very rapidly with the same furniture.
Zeno's reasoning, however, is fallacious, when he says that if everything when it occupies an equal space is at rest, and if that which is in locomotion is always occupying such a space at any moment, the flying arrow is therefore motionless. This is false, for time is not composed of indivisible moments any more than any other magnitude is composed of indivisibles.
That paradox is 2.2.3 in the Stanford piece, which treats it more seriously than Aristotle does. His account of how the argument works is that, at any given moment of time, the arrow must occupy a space exactly equal to its length. Yet this means the arrow is resting, because it neither extends into space it does not occupy in this moment, nor does it leave space it does not occupy. If it is resting at any random point of time, given that all points of time are the same, at every point it is resting; and thus it cannot move, because there is no extension at any point in time that we could call motion.
A more natural way of saying this might be that a flying arrow, at a frozen moment in time, is motionless; and since every length of time is composed of an infinite number of frozen moments, the arrow cannot be flying at all. Motion is impossible because at each of the divisions (a 'point in time' rather than a physical point) has no ability to sustain motion because the points are not extended objects.
Aristotle's rejection is a rejection of the whole frame, as above. There are no unextended points, not actually in our three dimensional world (or four, etc). Zeno is wrong not merely mathematically, but metaphysically: he is wrong about the nature of reality, which cannot actually be divided into indivisible points. Neither space nor time can be, so says Aristotle.


