My Math Forum Cantors Diagonal Argument Automatically Fails

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 March 21st, 2018, 06:36 AM #1 Banned Camp   Joined: Mar 2015 From: New Jersey Posts: 1,720 Thanks: 124 Cantors Diagonal Argument Automatically Fails Cantors Diagonal Argument Aotomatically Fails Even if you "imagine" reaching the end of an infinite binary sequence, it doesn't matter since you always have more sequences than digit places no matter how many digit places there are, and CDA automatically fails. For Ex, two digit places give four sequences: 00 10 01 11 Reversing the bold digits gives 11 which is in the list. https://en.wikipedia.org/wiki/Cantor...gonal_argument
 March 21st, 2018, 08:01 AM #2 Senior Member   Joined: Oct 2009 Posts: 752 Thanks: 257 So you disprove an argument about infinite sequences and infinitely many digits by an argument with 2 digits and 4 numbers? Great logic there... Last edited by skipjack; March 21st, 2018 at 09:09 AM.
March 21st, 2018, 09:19 AM   #3
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Quote:
 Originally Posted by zylo . . . no matter how many digit places there are
Cantor used endless binary strings and considered an arbitrary endless sequence of them, so that the "diagonal" is also endless and the "reversed" string can't be in the sequence.

His argument doesn't require the end of anything to be imagined and doesn't fail.

Last edited by skipjack; March 21st, 2018 at 09:53 AM.

 March 21st, 2018, 09:28 AM #4 Math Team   Joined: Dec 2013 From: Colombia Posts: 7,616 Thanks: 2605 Math Focus: Mainly analysis and algebra This is duplicate thread on a srmtupid premise. Let's just shut it down, and any more of this repetitious nonsense in the future.
March 21st, 2018, 09:32 AM   #5
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 Originally Posted by v8archie This is duplicate thread on a srmtupid premise. Let's just shut it down, and any more of this repetitious nonsense in the future.
Don't you have a choice to simply not click on the thread?

As an example, I don't watch the tv show American Idol. Instead of writing to the tv station demanding that they take it off the air; or writing to the FCC demanding that the show be banned; I simply don't watch the show.

Isn't that the most sensible way to deal with content that I don't like, but that some other people do?

Last edited by Maschke; March 21st, 2018 at 09:40 AM.

 March 21st, 2018, 10:08 AM #6 Math Team   Joined: Dec 2013 From: Colombia Posts: 7,616 Thanks: 2605 Math Focus: Mainly analysis and algebra You think that this website is best served by people continually posting the same rubbish as fact? Perhaps we should all do that. We could fill the entire forum with nonsense. I have no problem with individuals posting about things that they wish to understand, but that doesn't describe Zylo. He has not wish to learn, or he'd have done it by now. Don't people with a genuine interest and a desire to learn will be mislead or dissuaded from coming here at all if this stupidity is given free reign.
March 21st, 2018, 10:12 AM   #7
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 Originally Posted by v8archie Don't people with a genuine interest and a desire to learn will be mislead or dissuaded from coming here at all if this stupidity is given free reign.
I think people who post sentences that don't parse should be banned.

After all, this site attracts many non-native speakers of English, and they may be misled and misinformed by your careless and ungrammatical post.

Right?

March 21st, 2018, 01:31 PM   #8
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Quote:
 Originally Posted by Maschke Don't you have a choice to simply not click on the thread? As an example, I don't watch the tv show American Idol. Instead of writing to the tv station demanding that they take it off the air; or writing to the FCC demanding that the show be banned; I simply don't watch the show. Isn't that the most sensible way to deal with content that I don't like, but that some other people do?
In the interest of fairness, I agree with the above. As a moderator it's my responsibility to ensure that some general rules are followed but on the whole they really don't apply here. In the interest of consideration and respect for other users, it is ideal that their posts be responded to, not ignored, and that flaming other users be avoided. If you have something to say, say it in a respectful tone and remember that every user of this forum should be treated with a reasonable measure of respect and dignity. I do not have a rule book, but I feel that if these simple guidelines are followed, MMF will be all that much better - for everyone.

My apologies for not adhering to this in my previous activities. I hope everyone is on board with this.

March 21st, 2018, 06:12 PM   #9
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Quote:
 Originally Posted by zylo Cantors Diagonal Argument Aotomatically Fails
Not.

Quote:
 Even if you "imagine" reaching the end of an infinite binary sequence, ...
Nobody claims such an end.

You are the only one who thinks such an end is necessary. The Axiom of Infinity says it isn't, and you refuse to accept how that is possible.
Quote:
 ... it doesn't matter since you always have more sequences than digit places ...
Irrelevant, since the sequences AND the character positions (Cantor did not use real numbers, or "digit places") are both ENDLESS. "More" in the sense you use it implies one set extends beyond the end of the other. AND THERE IS NO SUCH END.

March 21st, 2018, 08:01 PM   #10
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Quote:
 Originally Posted by Maschke I think people who post sentences that don't parse should be banned. After all, this site attracts many non-native speakers of English, and they may be misled and misinformed by your careless and ungrammatical post. Right?
That is the difference between a genuine mistake and deliberately and repeatedly posting stupid things that might confuse people.

There is no language in which posts like the first in this thread (and the many similar threads all started by Zylo) are worth posting more than once.

I didn't say he should be banned. If he wants to post something sensible, or learn, I have no problem. But threads like this one should be closed or deleted in my opinion. If he hasn't learned from any of the previous iterations, he won't learn from this one either.

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