explain xkcd:Museum
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| Apples |
 Title text: The experimental math department's budget is under scrutiny for how much they've been spending on trains leaving Chicago at 9:00pm traveling at 45 mph. |
Explanation
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This is incomplete: This page was created BY A CAR HEADING WEST AT 70MPH. Don't remove this notice too soon. If you can fix this issue, edit the page! |
Three "experimental mathematicians" have experimentally confirmed the answer to a mathematical query that might normally be described to an elementary school class: "If Cueball has seven apples and Hairbun has five, how many apples are there in total?" With everyone having literally brought together their stated number of apples, Cueball counts the two groups of apples and states that the total is twelve. Blondie is very excited that this real world demonstration has perfect agreement with some theory, presumably arithmetic.
The root of the joke is the conflation of mathematics, an abstract framework, with sciences like physics or chemistry that describe real world phenomena and that require experimental confirmation. In the context of the comic, because most sciences have both theoretical and experimental wings, mathematics should as well, with a humorous example of what "experimental mathematics" would look like. In this case Cueball and Hairbun are literally "testing" the concept of addition by reenacting a word problem in a mathematics textbook. This physical experiment itself is humorous because there is no mathematical difference between adding groups of apples or groups of tally marks on a piece of paper, but the characters would likely consider the latter to be "theoretical".
A different take on the joke is that mathematics is inherently experimental, but the "experiments" take the form of rigorously proving concepts, including something as basic as addition, from first principles. From this angle one would find humor in the fact that the three characters are testing math with physical objects instead of referring to the established proofs.
The irony is that some aspects of mathematics are experimental in the manner depicted in the cartoon. Children are often taught that the angles of a triangle sum to 180° by tearing off the points of a paper triangle and using them to construct a straight line. Some aspects of computer science can also be considered "experimental mathematics", especially at the circuit level where binary logic can be physically used to perform mathematical computation.
There are real-world cases where "basic addition" doesn't give the mathematical result, when combining certain items that aren't uniform. Measured volumes of two different substances, combined to make a solution, usually results in a volume of the end solution that differs from the sum of the original volumes. When measured volumes of nearly-freezing and nearly-boiling water are combined, the resulting liquid, at an intermediate temperature, will almost always be measurably different from the sum of the prior values.
The title text confirms the comic's point of experimentally reenacting mathematics textbook word problems by reference to the "Two Trains Problem", a popular type of question to teach students how to solve simultaneous linear equations, which has previously been alluded to in 2019: An Apple for a Dollar. A typical question of this type asks “If a train leaves station A at 9:00 am and travels at 60 miles per hour, and another train leaves station B at 10:00 am and travels at 80 miles per hour, where will the two trains meet if station A and B are 200 miles apart?” This type of problem is so common that it became a pre-internet meme with many references in popular culture, so Randall has to provide only the setup ("trains leaving Chicago at 9 pm traveling at 45 mph") to be reasonably sure that the reader will know what he's talking about.
Unlike apples, chartering real life trains to leave both Chicago and another city to test that class of word problem would present enormous expense to the experimental mathematics department. This expense again implies that the experimental mathematics department is not content with any abstraction, such as using model trains, and must test the word problems as written.
Transcript
- [Hairbun and Cueball stand at the left of the panel. Blondie stands at the right. Between them are two piles of apples, one of seven apples (stacked four on the bottom, two in the middle row, and one on top) and the other of five apples (stacked three on the bottom, and two on top).They are all looking at the apples but Blondie has her arms raised high above her head.]
- Cueball: Okay, with my seven apples added to your five, we have ... let's see ... twelve apples!
- Blondie: Incredible!
- Blondie: Perfect agreement with the theory!
- [Caption below the panel:]
- Experimental mathematicians
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Maybe it's more of statistics than exhibitions. --While False (speak|museum) 21:17, 3 October 2022 (UTC)
pixels-assembly-3.png
how is it 0 bytes?? i see that it is shown as 0 bytes on the wiki, but the file itself, when downloaded is 5kb! how???108.162.221.209 16:41, 4 October 2022 (UTC)Bumpf
- If the question is how it can be written like that here, the answer is that I used the numbers of the wiki. —While False (speak|museum) 19:18, 4 October 2022 (UTC)
- Sorry, should have made it more clear. Do you know why it is shown as 0 bytes on the file page? 172.70.134.103 12:37, 7 October 2022 (UTC)Bumpf
- There's always the possibility that this is actually the Null image under the .png file format. Every other .png is defined by the delta required to display the desired graphic when starting from the baseline of this 'ur'-image, but if you ever wanted to display that graphic the undocumented format specifications allow you to omit all unnecessary bytes (including the magic header bytes) and it will happily produce its hardcoded "it's a PNG!" preprocessing template, which happens to be this image. Obviously, the PNG spec (and, ultimately, the original ancestor of the detailed source code tree for every subsequent implementation) was written before Randall ever got anywhere near to drawing this image so the chances are slim that he just happened to luck upon the exact image that happens to have a 100% compression rate because it just happened to consist of something Randall wanted to draw, and in the manner of Randall's artistry. But it's a non-zero likelihood that an arbitrary artist might draw exactly the same image as a purely arbitrary "index null" page's collection of pixels and so... This might not be the Best Of All Worlds, but there has to be some highly fortunate occurance to balance out all the unfortunate ones, statistically, and this is ours!
- (Or maybe there's a minor bug/data-error in the way the wiki database serves the front-end webserver, but I can't ask you to believe something as trivially random as that!)) 172.70.90.245 15:03, 7 October 2022 (UTC)
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- Sorry, should have made it more clear. Do you know why it is shown as 0 bytes on the file page? 172.70.134.103 12:37, 7 October 2022 (UTC)Bumpf
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