October 6th, 2018, 01:01 PM  #81  
Senior Member Joined: Jun 2014 From: USA Posts: 479 Thanks: 36 
I am trying to follow your post here. Quote:
$$x \in (0,\infty) \implies \exists y \in \mathbb{R} \text{ such that } y > x$$ Quote:
$$y > x \implies y \in \text{ 'the neighborhood of infinity'}$$ $$x = 1 \implies (1,\infty) = \text{ 'the neighborhood of infinity'}$$ Quote:
The real numbers are already defined. One can define a number in any fashion they see fit, but that doesn't make it a real number. Have you proven that $\infty  b \neq \infty$ and instead that $\infty  b \in \mathbb{R}$ or something? What am I missing...?  
January 11th, 2019, 08:16 PM  #82 
Senior Member Joined: Jul 2012 From: DFW Area Posts: 634 Thanks: 96 Math Focus: Electrical Engineering Applications  
January 12th, 2019, 11:18 AM  #83  
Senior Member Joined: Oct 2016 From: Arizona Posts: 188 Thanks: 33 Math Focus: I'm still deciding, but my recent focus has been olympiad problems and math journal problems.  Quote:  
January 12th, 2019, 01:19 PM  #84 
Banned Camp Joined: Jun 2010 Posts: 17 Thanks: 0 
It should be born in mind that this proof is irrelevant as )Mathematics/science end in contradiction an integer= a noninteger. When mathematics/science end in contradiction it is proven in logic that you can prove anything you want in mathematics ie you can prove Fermat's last theorem and you can disprove Fermat's last theorem http://gamahucherpress.yellowgum.com...epossible.pdf 
January 12th, 2019, 03:06 PM  #85  
Senior Member Joined: Aug 2012 Posts: 2,157 Thanks: 631  Quote:
 
January 12th, 2019, 10:21 PM  #86 
Global Moderator Joined: Dec 2006 Posts: 20,302 Thanks: 1972  
January 13th, 2019, 10:39 AM  #87  
Math Team Joined: May 2013 From: The Astral plane Posts: 2,042 Thanks: 815 Math Focus: Wibbly wobbly timeywimey stuff.  Quote:
Dan  
January 13th, 2019, 11:03 AM  #88  
Senior Member Joined: Jun 2014 From: USA Posts: 479 Thanks: 36  Quote:
The same goes for any base, as base 10 is just one of the infinite number of bases we could use when representing real numbers. E.g., if $B$ is the base, then rationals that may be expressed as $\frac{n}{B^m}$ will have precisely two representations in base $B$. Every other real number will have only a single representation in base $B$. So now the question is, how does this ruin all of mathematics again? It seems like a very consistent and trivial thing to me. On the other hand, confusing notation with the notion of consistency to the point where "math is broken" is a ridiculously inconsistent position to take.  
January 13th, 2019, 11:06 AM  #89  
Senior Member Joined: May 2016 From: USA Posts: 1,306 Thanks: 549  Quote:
He has no clue that there is a difference between the symbol and the thing symbolized.  
January 13th, 2019, 05:02 PM  #90 
Senior Member Joined: May 2016 From: USA Posts: 1,306 Thanks: 549  Australia's leading erotic poet? There is such a thing? Is it an annual or lifetime award? Are the judges exclusively placental (I ask because I am not sure I trust the taste of monotremes in this area)? Can a prize be meaningful if logic does not exist. Many questions! More details are needed urgently.


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