Contrapositive 34

Jun 20, 2011 23:30

You've probably already heard of Rule 34 of the Internet:If it exists, there is porn of it on the Internet. No exceptions.
Now, as any mathematician can tell you, the statement "if X then Y" is equivalent to its contrapositive, "if not-Y then not-X". For instance, "if Socrates is human, then he is mortal" is equivalent to "if Socrates is not mortal ( Read more... )

logic, computers, memes, maths, sex

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Comments 11

Two points andrewducker June 20 2011, 22:39:32 UTC
1) I am very happy that they actually registered wetriffs.com
2) Rule 34 is usually phrased so that "exists" means something different to the way you're using it. Spongebob cartoons exist, so there is spongebob porn, for instance.

But I like the way you twist logic, so it's all good :->

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Re: Two points pozorvlak June 20 2011, 23:25:17 UTC
SPONGEBOB ISN'T REAL?!?! NOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOO!!!!!!!!!!!!!!!!!!!

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htfb June 21 2011, 07:54:09 UTC
That's an easy one. You've got your contrapositives and your converses confused.

If all ravens are black, then anything which is not black can't be a raven. And if anything that isn't black can't be a raven, all ravens must be black.
The contrapositive (i.e., literally, the "opposite-way-of-putting-it") is "all-not-blacks are not-ravens", which is true.

As blackbirds (and, oh, black cats) show, the converse is false.

"If it does not exist, there is not porn of it on the Internet" is the converse of Contrapositive 34---and means roughly the same as the converse of Rule 34; it's obviously wrong.

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pozorvlak June 21 2011, 08:58:15 UTC
Precisely. From my post:the statement "if X then Y" is equivalent to its contrapositive, "if not-Y then not-X".
It may help at this point to draw a truth-table.

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htfb June 21 2011, 08:14:25 UTC
I am slightly concerned that you may be assuming a law of excluded middle. If you've excluded the middles, it's probably not pornography.

Also I am unhappy about your probabilistic interpretation. For "high confidence" you need a probabilistic measure and for a measure you need your functor "is porn of [ ] on the internet" (or, on the restricted domain of the internet, "is porn of") to have certain topological properties[1]. But we know that internet porn can defy all topology as well as all logic.

[1] I am not sure about compactness, though I would like to see a fixed point of the "is internet porn of" operator. That's a fairly abstract "like", though---I'm not sure how truly arousing it could be. Maybe I have the wrong proclivities to be aroused by fixed points.

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pozorvlak June 21 2011, 09:00:37 UTC
I think a fixed point of the "is internet porn of" operator isn't too hard to construct: make a live video feed of someone (presumably an autophile) masturbating to that very feed. I'm sure it's been done, but it doesn't sound like my sort of thing.

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did you see anonymous June 21 2011, 20:05:55 UTC
Re: did you see pozorvlak June 22 2011, 11:23:06 UTC
Yes, I saw that. Interesting stuff!

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