April 8th, 2017, 05:26 AM  #11 
Math Team Joined: Oct 2011 From: Ottawa Ontario, Canada Posts: 12,442 Thanks: 832  
April 8th, 2017, 05:32 AM  #12 
Senior Member Joined: Mar 2015 From: New Jersey Posts: 1,364 Thanks: 100  
April 8th, 2017, 05:36 AM  #13 
Senior Member Joined: Mar 2015 From: New Jersey Posts: 1,364 Thanks: 100  Last minute edit which I believe is essential which you may have missed.

April 8th, 2017, 05:39 AM  #14 
Math Team Joined: Oct 2011 From: Ottawa Ontario, Canada Posts: 12,442 Thanks: 832 
Hope all that brings down the price of groceries...

April 8th, 2017, 05:49 AM  #15 
Senior Member Joined: Mar 2015 From: New Jersey Posts: 1,364 Thanks: 100  It will, because you can't create geometry from a "0dimensional," Wolfram, point which disproves BanachTarski which reduces the earnings of mathematicians which reduces the demand for groceries which brings down the price.

April 8th, 2017, 06:02 AM  #16 
Math Team Joined: Oct 2011 From: Ottawa Ontario, Canada Posts: 12,442 Thanks: 832 
AHHHH....I'm bringing that up right away to the local Farmboy grocery store manager... 
April 8th, 2017, 08:19 AM  #17 
Math Team Joined: Dec 2013 From: Colombia Posts: 7,309 Thanks: 2443 Math Focus: Mainly analysis and algebra 
Not that I care that much, but what are you going to call something that fills precisely one location in your geometry?

April 8th, 2017, 08:27 AM  #18 
Senior Member Joined: Mar 2015 From: New Jersey Posts: 1,364 Thanks: 100 
From Point to Geometry The point is a placeholder which can be filled in (expanded), or not. ( ) $\displaystyle \rightarrow$ (x1,( )) $\displaystyle \rightarrow$ (x1,x2,( )) $\displaystyle \rightarrow$ (x1,x2,x3,( )) $\displaystyle \rightarrow$ (x1,x2...xn,( )} ( ) is an expandable point. In (x1,( )) it is any point {expandable} on the line (x1) This differs from the notion of geometry as ntuples. Where do the ntuples start from: an expandable place holder (point). Thanks to Denis for guiding me in this direction. I always liked Canadian culture. It has even set the tone to smooth out v8archie. 
April 8th, 2017, 08:39 AM  #19 
Math Team Joined: Oct 2011 From: Ottawa Ontario, Canada Posts: 12,442 Thanks: 832  
April 8th, 2017, 08:57 AM  #20 
Math Team Joined: Dec 2013 From: Colombia Posts: 7,309 Thanks: 2443 Math Focus: Mainly analysis and algebra  

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geometry, point, set 
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