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Reverse Russell's Paradox
20th February 2012, 05:48
Post: #11
    1 years membership!
RE: Reverse Russell's Paradox
(19th February 2012 19:34)LastPoet Wrote:  On the other hand you proposed the reversal and didn't said anything worth about it, so what is it that you are saying? Do you even know what a paradox is?

I think you have it backwards there.
"Sisters, you know only the north; I have traveled in the south lands. There are churches there, believe me, that cut their children too, as the people of Bolvangar did--not in the same way, but just as horribly. They cut their sexual organs, yes, both boys and girls; they cut them with knives so that they shan't feel. That is what the Church does, and every church is the same: control, destroy, obliterate every good feeling. So if a war comes, and the Church is on one side of it, we must be on the other, no matter what strange allies we find ourselves bound to."

-Ruta Skadi, The Subtle Knife
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20th February 2012, 13:47
Post: #12
  4k posts! 3 years membership!
RE: Reverse Russell's Paradox
(18th February 2012 19:12)AthiestAtheist Wrote:  
(17th February 2012 09:20)Zen Badger Wrote:  Yes

But how can it, if the set cannot be contained?

Tupperware, you can keep fucking anything in that.
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Kudos given by (2): AthiestAtheist, KichigaiNeko
21st February 2012, 01:23 (This post was last modified: 21st February 2012 02:42 by Categories+Sheaves.)
Post: #13
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RE: Reverse Russell's Paradox
(20th February 2012 05:48)AthiestAtheist Wrote:  
(19th February 2012 19:34)LastPoet Wrote:  On the other hand you proposed the reversal and didn't said anything worth about it, so what is it that you are saying? Do you even know what a paradox is?

I think you have it backwards there.

To be fair, there isn't much to say about the original post. Even ZFC insists that for every set S, the powerset P(S), namely the set of all subsets of S (including S itself) exists. A statement that begins with 'Can the set that cannot be contained...' holds as much water as a statement that begins with 'Can the square with five sides....'

It doesn't matter what absurd things we might conclude once we assume there exists a square with five sides: by using proof-by-contradiction (or if you're a fan of xkcd, thanks to the principle of explosion) we're able to prove everything. Until we have a reason to accept the existence of a 'set that cannot be contained,' we don't have a paradox. The real work is in showing that there is a set that cannot be contained, or that we can produce one via some agreed-upon axioms.

Can the color Sweden be eaten by Catholicism?
Fancypants Math Rants... ...and also... ...[amoff]Nerd Propaganda[/amoff]
So these philosophers were all like, "That Kant apply universally!" And then these mathematicians were all like, "Oh yes it Kan!"
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Kudos given by (1): Moros Synackaon
21st February 2012, 04:55 (This post was last modified: 21st February 2012 05:01 by AthiestAtheist.)
Post: #14
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RE: Reverse Russell's Paradox
(21st February 2012 01:23)Categories+Sheaves Wrote:  A statement that begins with 'Can the set that cannot be contained...' holds as much water as a statement that begins with 'Can the square with five sides....'

Actually that statement is a paradox itself. So the real work is in determining if "the set that cannot be contained" is a paradox.

(21st February 2012 01:23)Categories+Sheaves Wrote:  (or if you're a fan of xkcd, thanks to the principle of explosion)

I like xkcd, please give me a link to that.

(21st February 2012 01:23)Categories+Sheaves Wrote:  Can the color Sweden be eaten by Catholicism?

You do remember that this thread has a smiley-face icon, right? Wink Shades
"Sisters, you know only the north; I have traveled in the south lands. There are churches there, believe me, that cut their children too, as the people of Bolvangar did--not in the same way, but just as horribly. They cut their sexual organs, yes, both boys and girls; they cut them with knives so that they shan't feel. That is what the Church does, and every church is the same: control, destroy, obliterate every good feeling. So if a war comes, and the Church is on one side of it, we must be on the other, no matter what strange allies we find ourselves bound to."

-Ruta Skadi, The Subtle Knife
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21st February 2012, 08:32
Post: #15
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RE: Reverse Russell's Paradox
(21st February 2012 04:55)AthiestAtheist Wrote:  I like xkcd, please give me a link to that.

http://xkcd.com/704/

(21st February 2012 04:55)AthiestAtheist Wrote:  You do remember that this thread has a smiley-face icon, right? Wink Shades

That's what I thought at first... then your comments started sounding sort of serious-like and I wasn't so sure anymore.

Pardon my pompous hooey.
Fancypants Math Rants... ...and also... ...[amoff]Nerd Propaganda[/amoff]
So these philosophers were all like, "That Kant apply universally!" And then these mathematicians were all like, "Oh yes it Kan!"
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Kudos given by (2): KichigaiNeko, Zen Badger
22nd February 2012, 02:40 (This post was last modified: 22nd February 2012 02:41 by AthiestAtheist.)
Post: #16
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RE: Reverse Russell's Paradox
What's wrong with having a serious take on a fake premise? Wink
"Sisters, you know only the north; I have traveled in the south lands. There are churches there, believe me, that cut their children too, as the people of Bolvangar did--not in the same way, but just as horribly. They cut their sexual organs, yes, both boys and girls; they cut them with knives so that they shan't feel. That is what the Church does, and every church is the same: control, destroy, obliterate every good feeling. So if a war comes, and the Church is on one side of it, we must be on the other, no matter what strange allies we find ourselves bound to."

-Ruta Skadi, The Subtle Knife
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