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HTTP/1.1 200 OK Date: Thu, 15 Jan 2026 22:39:44 GMT Server: Apache/2.4.41 (Ubuntu) Last-Modified: Wed, 06 Aug 2025 15:31:05 GMT ETag: "90c9-63bb4077c025c-gzip" Accept-Ranges: bytes Vary: Accept-Encoding Content-Encoding: gzip Content-Length: 10321 Content-Type: application/rss+xml Content-Type: text/shitpost https://shitpost.plover.com Mark Dominus Shitposts en Bulk liquid food transport https://shitpost.plover.com/2025/04/18#bulk-liquids Me and the family have been on the road recently, and yesterday we saw a food-grade tanker truck in the next lane. I amused myself for a while speculating about what might be in it: Pudding? Cottage cheese? Guacamole? Hummus? Blueberry yogurt, with the fruit on the bottom? (That one got a laugh from Ms. 17.) Well, probably not, but on looking it up I found some probably reliable lists of what does get shipped that way. From <a href="https://kanhaul.com/liquid-transport/bulk-liquid-transport-equipment-faq/">Kan-Haul's bulk liquid transport FAQ</a>: <ul> <li>Dairy products ( pasteurized milk, and cream)</li> <li>Alcohol products (gin, vodka, and wine)</li> <li>Juices (fruit juice and vegetable juice)</li> <li>Vegetable oils (canola oil and coconut oil)</li> <li>Syrups and other sweeteners (corn syrup, honey, and molasses)</li> <li>Sugar alcohols (mannitol and sorbitol)</li> <li>Vinegar (apple cider vinegar and distilled vinegar)</li> <li>Citrus products (citric acid solution and citrus fruit terpenes)</li> <li>Non-food products (essential oils and mineral oil)</li> <li>Additives and preservatives (beverage bases, caramel color, and natural and artificial colors)</li> </ul> I think the most amusing item on that list is the molasses. Or perhaps the honey. "There's been a crash on route 202! Send a truckful of graham crackers!" But a tomato juice spill could also be amusing. Amusing, rather than just horrible. I wouldn't want to be anywhere near after a canola oil mishap. Still I guess the really interesting items are the ones not on the list because they are less commonly shipped. I was tempted to write to one of these shipping firms to ask for weird stories, but they have work to do. Still I can dream that maybe there is a tanker truck out there somewhere carrying 11,000 gallons of butterscotch pudding. Aha, someone in <a href="https://www.quora.com/What-are-some-of-the-weirdest-cargoes-truck-drivers-have-hauled">this Quora thread</a> mentioned hauling processed pumpkin pie filling. I am completely satisfied. Sister cities? https://shitpost.plover.com/2025/03/16#sister-cities Are Salisbury and Salzburg sister cities? And if not, why not? Frequently asked questions about signal handling in C https://shitpost.plover.com/2024/12/18#signal-handling “In a signal handler, can I…” “No.” “You didn't let me finish the question!” “The answer is still ‘no’.” The silliest town name in the United States https://shitpost.plover.com/2024/09/06#silliest-town-name In Blue Highways, author William Least Heat-Moon states that that the town with the silliest name in the U.S. is Intercourse, Pennsylvania. I disagree. My own nominee is French Lick, Indiana. https://shitpost.plover.com/2024/08/24#mercury-bread <a href="https://hsp.org/blogs/hidden-histories/looking-for-the-drowned-dead-with-a-loaf-of-bread-and-mercury">This article about finding drowned bodies</a> with quicksilver-filled bread says: <blockquote> A loaf of bread was then filled with “over two ounces of quicksilver,” then thrown into the water </blockquote> I was annoyed that the original source said this, because I found it unclear. Is that two ounces by weight or by volume? If it were water it wouldn't matter, but quicksilver is 13.6 times as dense, and two fluid ounces weighs nearly a pound. Conversely, a two-ounce weight of quicksilver is only a few milliliters. I guess it must be the second, smaller amount, because bread stuffed with a pound of quicksilver would sink quickly, and you need it to float to where the body is. Also quicksilver costs money. Don't get all up in my grill https://shitpost.plover.com/2024/08/14#up-in-my-grill Today I'm feeling happy about the phrase "all up in my grill". I think it means the same as "all up in my face" but substituting "grill" (cosmetic dental work) for "face" is more pungent and flavorsome. I wrote a while back about the hilarious phrase "too dumb to pour piss out of a boot" which I feel is funny for a similar reason. Specific is almost always funnier than generic. I wonder, is "all up in my grill" funnier if the person actually has a grill, or if they don't? Maybe both. Jehovah's Witnesses schism https://shitpost.plover.com/2024/08/14#witnesses What if there were a Jehovah's Witness splindere sect that took the Tolkien legendarium as literally true? Wouldn't that be something? More pizza heresy https://shitpost.plover.com/2024/08/11#pizza-heresy People like to have fainting fits to show off how horrified they are about pineapple pizza, or Hawai‘ian pizza (pineapple plus ham) but I think it's pretty good and those people need to get a grip or find a less silly hobby. Today I was thinking, prosciutto is good with orange cantaloupe. Why not put them on pizza? Not sure what you'd call it though. I think it needs a name that it catchier than “prosciutto and melon pizza”. Followup to a Stack Exchange comment from 2014 https://shitpost.plover.com/2024/06/04#comment <blockquote> Reminder: Anyone can edit Wikipedia and make it better... </blockquote> Well, anyone can try. Actors with odd names https://shitpost.plover.com/2024/05/15#actors-with-odd-names What famous actors have the oddest names? Offhand, I think maybe Meryl Streep and Humphrey Bogart. Is this a coincidence? https://shitpost.plover.com/2024/05/14#horst-wessel I just realized the parallel between the John Birch Society (“who the heck is John Birch?”) and the Horst Wessel song (“who the heck is Horst Wessel?”) In both cases it's nobody in particular, and the more you look into why they canonized their particular guy, the less interesting it gets. Is this a common pattern of fringe political groups? Right-wing fringe political groups? Thing I believe https://shitpost.plover.com/2024/05/14#thing-i-believe I think I would write more thorough, more interesting annotations than most of the people who write annotated works of literature. (Exception: Martin Gardner's annotated Alice in Wonderland and Through the Looking Glass are better than I could do.) About that aphorism https://shitpost.plover.com/2024/04/22#aphorism-2 A while back I suggested the following aphorism: <blockquote> It's not enough to make the coffee, you also have to drink it. </blockquote> I'm not sure what I had in mind at the time — maybe just that it seemed like it might be applicable to many situations — but I think a couple of good programming-related examples are: <ol> <li>It's not enough to write the automated tests, you also have to run them</li> </ol> and <ol> <li>It's not enough to have a disaster recovery plan, you also have to try it out</li> </ol> Potamus https://shitpost.plover.com/2024/04/22#potamus-3 A while back I complained that the suffix ‘-potamus’ wasn't widely-enough used. Recently I've had this word on my mind: <blockquote> phlebopotamus </blockquote> I'm not sure what it means. “Phlebo-” means veins and all I can imagine is a large rampaging blood monster, maybe something like the Blood Golem from Diablo II. Today I also thought of <blockquote> apotropotamus </blockquote> and I don't yet knoe what that means, and I'm a rather afraid to find out. I am sometimes in the habit of muttering under my breath “Mark Jason Potamus” but I don't know what that is about either. Dark side of the Moon https://shitpost.plover.com/2024/04/21#moon I'm so tired of people talking about the dark side of the moon, how come you never hear anyone talk about the dark side of the sun? How to tell apart the languages of Nigeria? https://shitpost.plover.com/2024/04/21#nigerian-languages Suppose I'm looking at a sentence of Hausa, Yoruba, or Igbo that has been transliterated into English. How can I tell which it is? I know how to do this for most European languages, for Mandarin, Cantonese, Japanese, Korean, etc., but I don't know Yoruba from Igbo. Carl Gauß' hat https://shitpost.plover.com/2023/12/01#gauss-hat The most common picture of Carl Gauß depicts him wearing a black velvet cap. It is a pretty cool-looking cap, and I wonder if there isn't a small opportunity to sell math people black velvet caps like Gauß. The same opportunity does not exist for Euler, whose most common depiction appears to have just gotten out of the shower, and to be wearing a bathrobe and to have a towel wrapped around his head.\ Well-ordering blah https://shitpost.plover.com/2023/11/27#omega-omega I was going to write something about the ordinal number <img src="https://chart.apis.google.com/chart?chf=bg,s,00000000&cht=tx&chl=%24%cf%89%5e%cf%89%24">, but then I got bogged down in a lot of blather about well-orders and smaller ordinal numbers. I asked folks in Recurse Center if this article was interesting and they very genrly and constructively said it was not. So I am publishing it here. Caveat lector <hr /> Well-founded ordering is a fundamental idea in set theory, the basis of all inductive arguments. The idea of a set with a well-founded ordering is that if you start somewhere, and the moved to an element of the set that is “smaller” in the ordering, and then do it again and again, you must eventually get stuck at an element for which there is no “smaller” element. The prototypical example of a well-founded ordering is the ordinary <img src="https://chart.apis.google.com/chart?chf=bg,s,00000000&cht=tx&chl=%24%0a%5clt%20%24"> relation on the natural numbers. You can't keep passing from one natural number to a smaller one without eventually getting stuck at <img src="https://chart.apis.google.com/chart?chf=bg,s,00000000&cht=tx&chl=%240%24">. And the prototypical example of a not well-founded ordering is the ordinary <img src="https://chart.apis.google.com/chart?chf=bg,s,00000000&cht=tx&chl=%24%20%5clt%20%24"> relation on the integers, because you can move to <img src="https://chart.apis.google.com/chart?chf=bg,s,00000000&cht=tx&chl=%24%2d1%24">, then <img src="https://chart.apis.google.com/chart?chf=bg,s,00000000&cht=tx&chl=%24%2d2%24">, then <img src="https://chart.apis.google.com/chart?chf=bg,s,00000000&cht=tx&chl=%24%2d3%24">, and you never do get stuck. Or for a slightmy more subtle non-example, the ordinary <img src="https://chart.apis.google.com/chart?chf=bg,s,00000000&cht=tx&chl=%24%5clt%24"> relation on the positive rational numbers, whre you can go <img src="https://chart.apis.google.com/chart?chf=bg,s,00000000&cht=tx&chl=%241%2c%20%5cfrac12%2c%20%5cfrac13%2c%0a%5cfrac14%2c%5cldots%24"> and you still never do get stuck. To see the relationship with inductive arguments, think of induction as working this way. In an inductive argument you say well, if the claim were false for some large example it would also be false for a smaller example, then also for an even smaller one, and you could keep going like that until you got down to a trivial example, but the claim is easy to verify for the trivial examples, so it must be true for the large ones also. To work, the notion of "smaller" has to guarantee to end at a trivial example after a finite number of steps, and that's what "well-founded" gets you. There are lots of examples of well-founded orders of the natural numbers that aren't the usual <img src="https://chart.apis.google.com/chart?chf=bg,s,00000000&cht=tx&chl=%24%5clt%20%24"> relation. The simplest nonstandard one is: <ol> <li>Exactly the same as the usual order, except…</li> <li>Instead of <img src="https://chart.apis.google.com/chart?chf=bg,s,00000000&cht=tx&chl=%243%24"> being smallest, Every number is considered to be less than <img src="https://chart.apis.google.com/chart?chf=bg,s,00000000&cht=tx&chl=%243%24">.</li> </ol> $$ 0\prec 1\prec 2 \prec 4 \prec 5 \prec \ldots \prec 3 $$ We use the symbol <img src="https://chart.apis.google.com/chart?chf=bg,s,00000000&cht=tx&chl=%24%5cprec%24"> instead of <img src="https://chart.apis.google.com/chart?chf=bg,s,00000000&cht=tx&chl=%24%5clt%24"> to remind ourselves that this is something like but not the same as the usual less-than relation. It doesn't have to be <img src="https://chart.apis.google.com/chart?chf=bg,s,00000000&cht=tx&chl=%243%24"> that is out of line, it doesn't matter. I just picked <img src="https://chart.apis.google.com/chart?chf=bg,s,00000000&cht=tx&chl=%243%24"> to emphasize that the choice was arbitrary. This is not just a simple renaming of the natural numbers, because in the usual ordering there is no largest number, and here there is a largest number, namely <img src="https://chart.apis.google.com/chart?chf=bg,s,00000000&cht=tx&chl=%243%24">. But the order is still well-founded. Even if you start at <img src="https://chart.apis.google.com/chart?chf=bg,s,00000000&cht=tx&chl=%243%24">, the first time you move to a smaller number, it's some other finite number and at that point you can be sure that the process can't go on forever. You can move from <img src="https://chart.apis.google.com/chart?chf=bg,s,00000000&cht=tx&chl=%243%24"> down to <img src="https://chart.apis.google.com/chart?chf=bg,s,00000000&cht=tx&chl=%241000007%24">, but from there you have at most <img src="https://chart.apis.google.com/chart?chf=bg,s,00000000&cht=tx&chl=%241000007%24"> moves before you are certain to get stuck at <img src="https://chart.apis.google.com/chart?chf=bg,s,00000000&cht=tx&chl=%240%24">. The way I presented this ordering is a little bit odd to set theorists, because set theorists have a standard set of names and notations for different well-founded orders. The ordinary natural numbers one is called <img src="https://chart.apis.google.com/chart?chf=bg,s,00000000&cht=tx&chl=%24%5comega%24">. The one above, which is like <img src="https://chart.apis.google.com/chart?chf=bg,s,00000000&cht=tx&chl=%24%5comega%24"> except it has one extra element on the end, larger than the others, is called <img src="https://chart.apis.google.com/chart?chf=bg,s,00000000&cht=tx&chl=%24%5comega%20%2b%201%24">. Instead of describing it the way I did, with <img src="https://chart.apis.google.com/chart?chf=bg,s,00000000&cht=tx&chl=%243%24"> pulled out of line and stuck at the end, set theorists usually call that largest element “<img src="https://chart.apis.google.com/chart?chf=bg,s,00000000&cht=tx&chl=%24%5comega%24">” and write it like this: $$ 0\prec 1\prec 2 \prec 3 \prec 4 \prec 5 \prec \ldots \prec \omega $$ It's the same thing, just with slightly less silly names. But it's important to remember that something like <img src="https://chart.apis.google.com/chart?chf=bg,s,00000000&cht=tx&chl=%24%5comega%20%2b%201%24"> describes a perfectly well-defined ordering relation that could be put on the ordinary natural numbers, not the usual ordering but no less legitimate. Of course you can add more than one big element on the right-hand end; those orderings are <img src="https://chart.apis.google.com/chart?chf=bg,s,00000000&cht=tx&chl=%24%5comega%2b1%2c%20%5comega%2b2%2c%24"> and so on. You can even add an infinite number of elements on the right. Suppose we take two copies of the natural numbers, one painted blue and one painted green. Then we define the following order: <ol> <li>If <img src="https://chart.apis.google.com/chart?chf=bg,s,00000000&cht=tx&chl=%24n%24"> and <img src="https://chart.apis.google.com/chart?chf=bg,s,00000000&cht=tx&chl=%24m%24"> are the same color, then <img src="https://chart.apis.google.com/chart?chf=bg,s,00000000&cht=tx&chl=%24n%24"> is smaller than <img src="https://chart.apis.google.com/chart?chf=bg,s,00000000&cht=tx&chl=%24m%24"> in the usual way, just if <img src="https://chart.apis.google.com/chart?chf=bg,s,00000000&cht=tx&chl=%24n%5clt%20m%24"> as ordinary unpainted numbers</li> <li>If they are different colors then one is blue and one is green, and the blue one is smaller</li> </ol> Now we have this ordering: $$ \underbrace{ \color{darkblue}{0} \prec \color{darkblue}{1} \prec \color{darkblue}{2} \prec \color{darkblue}{3} \prec \ldots }_{\text{blue numbers}} \prec \underbrace{ \color{darkgreen}{0} \prec \color{darkgreen}{1} \prec \color{darkgreen}{2} \prec \color{darkgreen}{3} \prec \ldots }_{\text{green numbers}} $$ If we don't like using paint, we could phrase it like this: <ol> <li>If <img src="https://chart.apis.google.com/chart?chf=bg,s,00000000&cht=tx&chl=%24n%24"> and <img src="https://chart.apis.google.com/chart?chf=bg,s,00000000&cht=tx&chl=%24m%24"> are the same parity, then <img src="https://chart.apis.google.com/chart?chf=bg,s,00000000&cht=tx&chl=%24n%24"> is smaller than <img src="https://chart.apis.google.com/chart?chf=bg,s,00000000&cht=tx&chl=%24m%24"> in the usual way, just if <img src="https://chart.apis.google.com/chart?chf=bg,s,00000000&cht=tx&chl=%24n%5clt%20m%24"> as ordinary unpainted numbers</li> <li>If they are different parities then one is even and one is odd, and the even one is smaller</li> </ol> $$ \underbrace{ 0 \prec 2 \prec 4 \prec 6 \prec\ldots }_{\text{even numbers}} \prec \underbrace{ 1 \prec 3 \prec 5 \prec 7 \prec\ldots }_{\text{odd numbers}} $$ The standard name for this is <img src="https://chart.apis.google.com/chart?chf=bg,s,00000000&cht=tx&chl=%24%5comega%20%2b%20%5comega%24"> or <img src="https://chart.apis.google.com/chart?chf=bg,s,00000000&cht=tx&chl=%242%5ccdot%5comega%20%24"> and the elements are usually written like this: $$ 0 \prec 1 \prec 2 \prec 3 \prec\ldots \prec \omega \prec \omega+1 \prec \omega+2 \prec\ldots $$ I like to think of <img src="https://chart.apis.google.com/chart?chf=bg,s,00000000&cht=tx&chl=%24%5comega%24"> as a game in which there is a track of squares extending forever to the right. The leftmost square is labeled <img src="https://chart.apis.google.com/chart?chf=bg,s,00000000&cht=tx&chl=%240%24">. One one square there is a penny. Two players play a game in which they take turns moving the penny to the right some number of squares. If a player moves the penny to <img src="https://chart.apis.google.com/chart?chf=bg,s,00000000&cht=tx&chl=%240%24">, they lose. Must the game come to an end, or could it go on forever? Clearly it must come to an end, even though the track itself is infinite. If the penny starts on square 1000007, the game can't possibly last more than 1000007 moves. (As a game this is no fun at all, since the first player can immediately move the penny to square <img src="https://chart.apis.google.com/chart?chf=bg,s,00000000&cht=tx&chl=%241%24">, but I'm only interested in whether the game will end.) <img src="https://chart.apis.google.com/chart?chf=bg,s,00000000&cht=tx&chl=%24%5comega%2b1%24"> is the game where, instead of starting somewhere on the track, the penny starts in player 1's pocket, and their first move is to take it out and place it on one of the squares of the track. Again the game must come to an end, although unlike in the previous case we can't say ahead of time how long it will take. If we say “no more than 1000007 moves”, player 1 can belie us by taking out the penny and placing it on square 2061982 instead. But what we can say at the beginning of the game is “I can't tell you now how long the game will take, but I will once Player 1 makes her first move.” For <img src="https://chart.apis.google.com/chart?chf=bg,s,00000000&cht=tx&chl=%242%5ccdot%5comega%24"> I like to think of two tracks, one above the other. Now a player has two kinds of move: <ol> <li>Move the penny to a square farther left in the same track, or</li> <li>If the penny is in the upper track, move it to any square in the lower track</li> </ol> Again Player 1 begins the game by taking the penny from her pocket and placing it on any square. If the penny is on square 1000007 of the top track, I can't tell you how long the game will take to end. But I can say “I will tell you how much longer the game will take, not right now but after no more than 1000008 moves from now.” Because after 1000007 moves, either someone will have moved the penny to the lower track, and I can tell how long the rest of the game will take, or the penny will have moved left 1000007 times and be on the leftmost square of the top track and the next move must take it to the lower track. And if the game hasn't started yet, I can't yet tell you when I will be able to say how much longer the game will take. But I will be able to do that once Player 1 has made her first move and put the penny on the board. This reminds me of an anecdote I once heard from another programmer. He told me his boss had come to him to ask him if he could do a certain task; he had replied that he could, and the boss had asked him how long he thought it would take. <blockquote> He said “I don't know.” His boss, being a reasonable woman, asked him when he would be able to tell her. He said “I don't know.” The boss, having dealt with this guy before, did not lose her temper. Instead, she asked “How long will it take you to figure that out?” “Not more than two days,” he said at once. “Okay, just to make sure there is no miscommunication, are you telling me that in two days you will be able to tell me how long it will take you to estimate how long the task will take?” “That's right.” </blockquote> And they parted amicably, both parties satsified, at least for the time being. Communication between management and engineering doesn't always turn out so well! In that programmer's game, there were three tracks, and the penny was on the second space on the topmost track. He was playing the game <img src="https://chart.apis.google.com/chart?chf=bg,s,00000000&cht=tx&chl=%242%5ccdot%5comega%20%2b%201%24">. At most two days later, the penny had moved to <img src="https://chart.apis.google.com/chart?chf=bg,s,00000000&cht=tx&chl=%24%5comega%20%2b%20n%24">, where <img src="https://chart.apis.google.com/chart?chf=bg,s,00000000&cht=tx&chl=%24n%24"> was how long it would take him produce his estimate of the project timeline. It's easy to add more tracks. Let's add an infinite stack of tracks, one atop the other. Now when Player 1 takes the penny from her pocket she can put it on any space on any track. Again, a legal move is to move the penny left on the same track, or to any space on any lower track. How long before you can say how long the game ends? Human language is not well-suited to this guarantee. <blockquote> Even once Player 1 was made her first move, I may not be able to tell you how long the game will take, and I also may not be able to tell you how long before I can tell you how long the game will take. And I may not be able to tell you how long before I can tell you how long before I can tell you how long the game will take. And I can't even tell you now how many times I will have to stack up “I may not be able to tell you”. BUT once Player 1 has made her first move, I will be able to tell you how many times I have to stack it up. </blockquote> Is the game really guaranteed to end? Yes, it really is. After Player 1's first move, the penny is on some square of some track, say square <img src="https://chart.apis.google.com/chart?chf=bg,s,00000000&cht=tx&chl=%24n%24"> of track <img src="https://chart.apis.google.com/chart?chf=bg,s,00000000&cht=tx&chl=%24m%24">. After at most <img src="https://chart.apis.google.com/chart?chf=bg,s,00000000&cht=tx&chl=%24n%2b1%24"> moves, the track number <img src="https://chart.apis.google.com/chart?chf=bg,s,00000000&cht=tx&chl=%24m%24"> must decrease. And then there can only be a finite number of moves before it decreases again. And it can decrease at most <img src="https://chart.apis.google.com/chart?chf=bg,s,00000000&cht=tx&chl=%24m%24"> times before the penny is on the bottom track, and then the game must end after a bounded number of moves. This ordering is called <img src="https://chart.apis.google.com/chart?chf=bg,s,00000000&cht=tx&chl=%24%5comega%5e2%24">. A penny on square <img src="https://chart.apis.google.com/chart?chf=bg,s,00000000&cht=tx&chl=%24n%24"> of track <img src="https://chart.apis.google.com/chart?chf=bg,s,00000000&cht=tx&chl=%24m%24"> is said to be at <img src="https://chart.apis.google.com/chart?chf=bg,s,00000000&cht=tx&chl=%24m%c2%b7%5comega%20%2b%20n%24">. If we want to think about a way to order the natural numbers with order type <img src="https://chart.apis.google.com/chart?chf=bg,s,00000000&cht=tx&chl=%24%cf%89%5e2%24">, we can do it like this: <blockquote> Every number larger than <img src="https://chart.apis.google.com/chart?chf=bg,s,00000000&cht=tx&chl=%240%24"> can be put in the form <img src="https://chart.apis.google.com/chart?chf=bg,s,00000000&cht=tx&chl=%242%5ei%c2%b7j%24"> where <img src="https://chart.apis.google.com/chart?chf=bg,s,00000000&cht=tx&chl=%24j%24"> is odd. For example, <img src="https://chart.apis.google.com/chart?chf=bg,s,00000000&cht=tx&chl=%24200%20%3d%202%5e3%c2%b725%24"> and <img src="https://chart.apis.google.com/chart?chf=bg,s,00000000&cht=tx&chl=%2437%20%3d%202%5e0%c2%b737%24">. <ol> <li><img src="https://chart.apis.google.com/chart?chf=bg,s,00000000&cht=tx&chl=%240%24">, as usual, is smaller than every other number.</li> <li>Otherwise, the numbers can be thought of as <img src="https://chart.apis.google.com/chart?chf=bg,s,00000000&cht=tx&chl=%24n%20%3d%202%5ei%c2%b7j%24"> and <img src="https://chart.apis.google.com/chart?chf=bg,s,00000000&cht=tx&chl=%24n%27%20%3d%202%5e%7bi%27%7d%c2%b7j%27%24">. Consider <img src="https://chart.apis.google.com/chart?chf=bg,s,00000000&cht=tx&chl=%24n%5cprec%20n%27%24">: <ol> <li>if <img src="https://chart.apis.google.com/chart?chf=bg,s,00000000&cht=tx&chl=%24i%20%5clt%20i%27%2c%20_or_%0a%3e%20%20%20%202%2e%20if%20%24">i = i'<img src="https://chart.apis.google.com/chart?chf=bg,s,00000000&cht=tx&chl=%24%2c%20_and_%20%24">j\lt j'!!</li> </ol></li> </ol> </blockquote> Written out explicitly, the ordering looks like this: $$\begin{array}{l} 0 \prec \\ 2^0\cdot 1 \prec 2^0·3 \prec 2^0·5\prec 2^0·7 \prec\ldots \\ 2^1\cdot 1 \prec 2^1·3 \prec 2^1·5\prec 2^1·7 \prec\ldots \\ 2^2\cdot 1 \prec 2^2·3 \ldots \end{array} $$ or if you prefer $$\begin{array}{l} 0 \\ \prec 1 \prec 3 \prec 5 \prec 7 \prec \ldots \\ \prec 2 \prec 6 \prec 12 \prec 24 \prec \ldots \\ \prec 4 \prec 12 \prec 20 \prec 28 \prec \ldots \end{array} $$ Well, none of that was actually what I planned to write about, but I am going to stop here and continue tomorrow. The Sun's Wish https://shitpost.plover.com/2023/11/25#sun-at-night The Sun loves looking down and seeing the mortals scurrying about like germs, busy at our daily activities. But she's a little bit sad because she doesn't know much about what we do at night. She has never seen a late-night movie and has not even imagined sitting around a campfire, toasting marshmallows and singing songs. One day the Sun was granted her wish to spend a night on Eartha. Just at sundown she was transformed into a woman. She had dinner at a jazz club, then went out to a cocktail bar where she met a new friend. They went out for midnight supper and then went back to the friend's apartment. Just before dawn she kissed her new friend and returned to her work, content. Passing thought https://shitpost.plover.com/2023/10/30#finite All numbers are finite, but some numbers are more finite than others. Sisters https://shitpost.plover.com/2023/09/09#sisters Famous sisters <a href="https://en.wikipedia.org/wiki/Gloria_Steinem">Gloria Steinem</a> and <a href="https://en.wikipedia.org/wiki/Mediastinum">Media Steinem</a>. Skinks https://shitpost.plover.com/2023/05/31#skink How sure are we that the blue-tongued skink and the blue-tailed skink aren't the same animal walking in different directions? Modok https://shitpost.plover.com/2023/03/28#modok Does MODOK need to shave? Does he blow his nose? How? He can't reach it. Now I picture the hapless AIM scientist who has to attend MODOK with an enormous spotted hanky when he catches cold. Croatian puzzle https://shitpost.plover.com/2023/03/22#croatia In Serbian, Croatian, and other Slavic languages, srp (or ср̑п) means a sickle. And sȑpskī (ср̏пскӣ) means the Serbs or the Serbian language. But it's Croatia, not Serbia, that is actually sickle-shaped. I have had this conversation more than once https://shitpost.plover.com/2023/02/27#judgmental Therapist: You're a very judgmental person. Me: That's because is good to be judgmental Me: Most people should be more judgmental actually Me: I don't know what the fuck is wrong with them all

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