March 21st, 2018, 06:36 AM  #1 
Senior Member Joined: Mar 2015 From: New Jersey Posts: 1,392 Thanks: 100  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: 430 Thanks: 144 
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 
Global Moderator Joined: Dec 2006 Posts: 19,190 Thanks: 1649  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: 7,331 Thanks: 2457 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  
Senior Member Joined: Aug 2012 Posts: 1,960 Thanks: 547  Quote:
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: 7,331 Thanks: 2457 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  
Senior Member Joined: Aug 2012 Posts: 1,960 Thanks: 547  Quote:
After all, this site attracts many nonnative speakers of English, and they may be misled and misinformed by your careless and ungrammatical post. Right?  
March 21st, 2018, 01:31 PM  #8  
Global Moderator Joined: Oct 2008 From: London, Ontario, Canada  The Forest City Posts: 7,825 Thanks: 1051 Math Focus: Elementary mathematics and beyond  Quote:
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  
Senior Member Joined: Apr 2015 From: Planet Earth Posts: 129 Thanks: 25  Not. Quote:
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:
 
March 21st, 2018, 08:01 PM  #10  
Math Team Joined: Dec 2013 From: Colombia Posts: 7,331 Thanks: 2457 Math Focus: Mainly analysis and algebra  Quote:
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.  

Tags 
aotomatically, argument, automatically, cantors, diagonal, fails, fails# 
Thread Tools  
Display Modes  

Similar Threads  
Thread  Thread Starter  Forum  Replies  Last Post 
Cantors Diagonal Argument for n digits.  zylo  Real Analysis  21  July 15th, 2017 07:08 AM 
Cantors Diagonal Argument, Logic  zylo  Topology  100  May 10th, 2017 09:00 AM 
Cantors Diagonal Argument is Not Diagonal  v8archie  Topology  0  June 23rd, 2016 09:16 AM 
Cantor's Diagonal Argument Fails by Inductiou  zylo  Topology  2  June 4th, 2016 06:30 AM 
Cantors Diagonal Argument and Epimenides  zylo  Topology  4  March 8th, 2016 06:08 AM 