Difference between revisions of "2193: Well-Ordering Principle"

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(Deleted a paragraph that seemed to be based on a misreading of the original comic -- it made two points, both of which assumed that Megan had been granted three wishes, rather than one.)
(Explanation)
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In the final panel, the genie questions why she would wish for something so mundane, when he has the power to grant wishes beyond her wildest dreams. Megan, being savvy of tropes used in fiction since biblical times, points out that encounters with wish-granting entities often turn out to be traps; genies in fiction will often interpret wishes in ways the wisher did not intend, and particularly mean-spirited ones will {{tvtropes|JackassGenie|twist a mortal's desire into their own personal hell}}. So Megan tries to play it safe by wishing for something innocuous and with little room for harmful side-effects.
 
In the final panel, the genie questions why she would wish for something so mundane, when he has the power to grant wishes beyond her wildest dreams. Megan, being savvy of tropes used in fiction since biblical times, points out that encounters with wish-granting entities often turn out to be traps; genies in fiction will often interpret wishes in ways the wisher did not intend, and particularly mean-spirited ones will {{tvtropes|JackassGenie|twist a mortal's desire into their own personal hell}}. So Megan tries to play it safe by wishing for something innocuous and with little room for harmful side-effects.
  
The title text explains why Megan is interested in this wish: any means available to her would be restricted to photographs or drawings from memory. It is likely the worst costume was either never photographed, or isn't remembered accurately by those who saw it (it is lost to time). By asking the genie to show her, she would be able to see the truly worst costume, without being restricted to those for which evidence remains.
+
The title text explains why Megan is interested in this wish: any means available to her would be restricted to a geographic area's (nationwide) photographs or drawings from memory. It is likely the worst costume was either never photographed, or isn't remembered accurately by those who saw it (it is lost to time). By asking the genie to show her, she would be able to see the truly worst costume, without being restricted to those for which evidence remains.
  
 
The {{w|well-ordering principle}} is a mathematical principle stating that every non-empty set of positive integers contains a least element. This principle would apply to Megan's request if there was guaranteed to be an "absolute worst" costume of Marty McFly. However, subjective {{w|preference}}, while [[wikipedia:Reflexive relation|reflexive]] and [[wikipedia:Transitivity|transitive]], is not [[wikipedia:Well-founded relation|well-founded]] (or [[wikipedia:Symmetric relation|symmetric]], [[wikipedia:Antisymmetric relation|antisymmetric]], or [[wikipedia:Connex relation|connex]], for that matter) and is therefore considered a {{w|preorder}}, also called a quasiorder. This means that the genie may not be able to fulfill Megan's wish if the selection were based on the preferences of any one person. Luckily, people's preferences can be combined into a {{w|mean opinion score}} which, while not strictly well-ordered, will almost always be able to identify a single worst costume, or at least identify a set of costumes tied for worst according to aggregate subjective preferences.
 
The {{w|well-ordering principle}} is a mathematical principle stating that every non-empty set of positive integers contains a least element. This principle would apply to Megan's request if there was guaranteed to be an "absolute worst" costume of Marty McFly. However, subjective {{w|preference}}, while [[wikipedia:Reflexive relation|reflexive]] and [[wikipedia:Transitivity|transitive]], is not [[wikipedia:Well-founded relation|well-founded]] (or [[wikipedia:Symmetric relation|symmetric]], [[wikipedia:Antisymmetric relation|antisymmetric]], or [[wikipedia:Connex relation|connex]], for that matter) and is therefore considered a {{w|preorder}}, also called a quasiorder. This means that the genie may not be able to fulfill Megan's wish if the selection were based on the preferences of any one person. Luckily, people's preferences can be combined into a {{w|mean opinion score}} which, while not strictly well-ordered, will almost always be able to identify a single worst costume, or at least identify a set of costumes tied for worst according to aggregate subjective preferences.

Revision as of 06:35, 24 August 2019

Well-Ordering Principle
We could organize a nationwide old-photo-album search, but the real Worst McFly is probably lost to time.
Title text: We could organize a nationwide old-photo-album search, but the real Worst McFly is probably lost to time.

Explanation

Ambox notice.png This explanation may be incomplete or incorrect: Created by a BAD MARTY MCFLY COSTUME. Please mention here why this explanation isn't complete. Do NOT delete this tag too soon.
If you can address this issue, please edit the page! Thanks.
Marty McFly, played by actor Michael J. Fox, is the main character of the film series Back to the Future. As it is a popular film and series, many people may dress up as Marty McFly or Doc Brown, the other main character of the series, on Halloween, a holiday on October 31 where it is traditional to dress up in different costumes.

In the comic, Megan has found a genie lamp. A genie in a lamp is a supernatural being in many stories known to give one or more wishes to its finder. Instead of wishing for multiple wishes, flight, money, or other "traditional" wishes, Megan instead wishes to see the picture of the worst costume of Marty McFly on Halloween. Marty McFly's outfit in the films is relatively simple, consisting of little more than an orange vest, jean jacket, shirt, jeans, and sneakers. It would seem difficult to get this wrong.

In the final panel, the genie questions why she would wish for something so mundane, when he has the power to grant wishes beyond her wildest dreams. Megan, being savvy of tropes used in fiction since biblical times, points out that encounters with wish-granting entities often turn out to be traps; genies in fiction will often interpret wishes in ways the wisher did not intend, and particularly mean-spirited ones will twist a mortal's desire into their own personal hell. So Megan tries to play it safe by wishing for something innocuous and with little room for harmful side-effects.

The title text explains why Megan is interested in this wish: any means available to her would be restricted to a geographic area's (nationwide) photographs or drawings from memory. It is likely the worst costume was either never photographed, or isn't remembered accurately by those who saw it (it is lost to time). By asking the genie to show her, she would be able to see the truly worst costume, without being restricted to those for which evidence remains.

The well-ordering principle is a mathematical principle stating that every non-empty set of positive integers contains a least element. This principle would apply to Megan's request if there was guaranteed to be an "absolute worst" costume of Marty McFly. However, subjective preference, while reflexive and transitive, is not well-founded (or symmetric, antisymmetric, or connex, for that matter) and is therefore considered a preorder, also called a quasiorder. This means that the genie may not be able to fulfill Megan's wish if the selection were based on the preferences of any one person. Luckily, people's preferences can be combined into a mean opinion score which, while not strictly well-ordered, will almost always be able to identify a single worst costume, or at least identify a set of costumes tied for worst according to aggregate subjective preferences.

Transcript

Ambox notice.png This transcript is incomplete. Please help editing it! Thanks.
[Megan rubs a lamp held in her hands. A genie appears from the end of the lamp. The genie resembles the top half of Cueball's body, with a head, torso, and arms, but with a squiggle representing a puff of smoke in place of his legs.]
Genie: Greetings, mortal. You have freed me. I will grant you one wish.
Megan: Hmm.
[Megan holding the lamp to her side. The genie is off-panel.]
Megan: It's been over 30 years since Back to the Future came out. Since then, probably hundreds of thousands of people have tried to dress as Marty McFly for Halloween.
Genie: OK, and?
[Megan, holding the lamp to her side, talking to the genie, who is floating in the air.]
Megan: Of those people, one of them must have done the worst job.
Megan: My wish is to see their costume.
[Megan still holding the lamp and talking to the genie.]
Genie: Not a billion dollars? Flight? Infinite wishes?
Megan: These wish things are always traps.
Megan: Just show me the worst McFly and we'll call it even.


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Discussion

Still a "trap": POOF, you're now the worst McFly cosplayer; here's a mirror.

She asked about people who 'tried' to dress as Marty McFly. So unless Megan has ever tried to dress as him, I don't think she can be the answer.Barmar (talk) 00:10, 24 August 2019 (UTC)
_Technically_, Megan never used the formal "I wish" construction: she had "my wish is" and "just show me." Since the genie didn't immediately grant it in response to "my wish is," either (1) it's not possible (see other folks' comments below), (2) like Alex Trebec, he requires the proper format, or (3) we can assume that he'll respond to a direct order ... in which case, Megan will become a McFly cosplayer in a subsequent panel. :p
Considering that wishing for any of the genie's suggestions would make her a wanted criminal that stole a billion dollars, a housefly in a room full of irritable people, or a genie trapped in a lamp for all eternity, this is hardly a terrible fate. 172.68.65.66 14:04, 25 August 2019 (UTC)
Beware. The worst Marty McFly may be truly terrible. Or it could be a little kid in a costume they made out of craft paper and colored in crayon, terrible but adorable... but it could involve (1) real lightning, (2) real plutonium, (3) the band McFly, (4) actually a dog in costume, (5) actually a fly in costume, (6) Jeff Goldblum from "The Fly" i.e. fly head not Jeff Goldblum head - in costume, (7) Cthulhu - in costume. (The last and worst trick-or-treat you'll ever see; he would qualify.) [email protected] 162.158.158.209 14:36, 26 August 2019 (UTC)
She only wished to see "their costume". So the genie could trap her by only showing the costume, without letting her know how it looked on the wearer. In fact, the genie can also opt to ignore the "singular they" madness and bury her in a pile of costumes (of everyone who ever wore one for Halloween). 198.41.231.135 16:50, 26 August 2019 (UTC)


  • Are* costumes well-ordered? Even leaving aside the subjectivity of any ranking, there are several different criteria which could be used, and many ways of combining them. (What if the costume which looked least like Marty wasn't the ugliest, nor the one showing least effort?) — Also, may be worth qualifying the explanation of Halloween by mentioning the USA; some other countries don't celebrate it, and of those that do, not all do trick-or-treating or dressing-up &c. Gidds (talk) 00:23, 24 August 2019 (UTC)
Saying there are different criteria kind of overlaps with saying the ranking is subjective. But far worse, even individual preferences are preorders aka quasiorders, which absolutely does mean that there may not be a worst, or even a set of costumes tied for worst. However, the fact that you can always find someone (e.g. on Amazon Mechanical Turk, or off the street, or on a wiki somewhere) to give you another opinion means that well-foundedness can be rescued with their mean opinion score. I wonder if the genie is powerful enough to know the asymptotic MOS ranking right away, or if it will have to wait for enough Amazon Mechanical Turk HITs to be completed. Given that there must have been at least hundreds of thousands of consumes so far, that could take quite a long time to achieve p<0.05. 172.69.22.248 04:00, 24 August 2019 (UTC)
I've spent way too much time on this, but the more I do, the more I think Randall is trying to say something about the simulation hypothesis, related to the theme on Watch Room (warning: somewhat creepy but otherwise ok sci-fi short.) 172.69.22.134 12:32, 24 August 2019 (UTC)

I hope this Munroe lowkey challenging the internet, that we might actually celebrate our infamous king (or girl marty queen) of crappy costume. --162.158.58.219 00:37, 24 August 2019 (UTC)

The "worst McFly" and "even" sounds like there should be a math pun in there somewhere, but I don't see it. 172.69.63.11 01:36, 24 August 2019 (UTC)

"It's been over 30 years since Back to the Future came out." That makes me feel old. Isn't that something that Munroe does regularly? Should that be mentioned in the explanation? 162.158.214.88 10:42, 24 August 2019 (UTC)

Yes, I am sure there have been at least two comics where the often surprising ages of things formed a central part of the theme, but I can't remember enough about them to find them. Anyone? 162.158.255.82 11:55, 24 August 2019 (UTC)
Just see Category:Comics to make one feel old :-). --DaB. (talk) 12:29, 24 August 2019 (UTC)
Thanks  Done 172.69.22.134 12:38, 24 August 2019 (UTC)

"The real Worst McFly is probably lost to time" is also a pun regarding the fact that Back to the Future is a time-travel story.--MCBastos (talk) 17:20, 24 August 2019 (UTC)

I wonder if this could be trap from Megan - even unintended one: in some stories, the Genie could get into problems if he CANT fulfill the wish ... -- Hkmaly (talk) 22:07, 24 August 2019 (UTC)

Even if "preference" is a total order (i.e. connex and anti-symmetric, I think both of these are debatable) it isn't necessarily a well order, however, since the set of costumes is finite, there would still be a "worst" one. Probably not Douglas Hofstadter (talk) 03:17, 25 August 2019 (UTC)

It's not a total preorder unless you don't let people have "no opinion" about some pairs, which is an acceptable constraint for preferences based on established objective criteria, but not something so subjective like quality of fashion. In practice, a lot of people are going to have least favorites between which they don't care. Surveys of subjective preferences almost always allow people to say that they don't have opinions or are not sure. Even in technically objective measures, like short- versus long-term bond yield curves, you can sometimes prove that people objectively should have certain preferences upon which they are clearly not acting. 172.68.189.19 07:40, 25 August 2019 (UTC)

Sounds like a trap -- for the genie. Keep it busy so that it can't inflict "wishes" on others. Much more subtle than "find the last digit of pi", but possibly still a "halting problem" that can never be fully solved.

Actually, this wish is simply if not easily fulfilled, and it may indeed be a trap for Megan. Simply show her every Marty McFly costume ever worn. At some point she would have to have seen the worst, no matter how worst was determined. Depending upon the method, this could take a very long time. 108.162.246.239 00:48, 27 August 2019 (UTC)

Good point; added. 172.68.142.83 06:34, 27 August 2019 (UTC)

Knowing this community and knowing the wetriffs.com story, I'm already looking forward to this year's Halloween Kventin (talk) 06:13, 28 August 2019 (UTC)

What if the genie sends Megan to the time and place when the worst McFly costume was put on... and it sends her there naked... and the genie disappears from the scene and never answers another with from Megan ever again? Trapped in another time, possibly another country with a different language, and then promptly sent to prison for years. 162.158.78.136 01:10, 29 August 2019 (UTC)

Aren't stick figures regularly naked? This isn't a low-res nudist special interest comic? 172.68.189.211 20:24, 31 August 2019 (UTC)

The person Megan would see is most likely Eric Stoltz. He was replaced as Marty McFly after the film makers (and the actor) realized he had been miscast. I propose he did the worst job of dressing as McFly (in this timeline) as he lost his job in his attempt. In an economic sense, principally that of lost potential earnings (from the movie, and further including earnings from the sequels, and from being a more bankable following a starring role in a hit movie), he would likely out rank all other contenders. Neffo (talk) 13:44, 11 September 2019 (UTC)