April 15th, 2018, 12:08 PM  #11 
Banned Camp Joined: Aug 2012 Posts: 153 Thanks: 3  0....but you do not have 0 rectangles do you...well you may...but 0 rectangles does not exist.....it is only that you do not have it...you must always have something..so when I have a 0 rectangles.....the answer is undefined...as the absences of rectangles does not exist.... Further saying that my rectangles of 0 is undefined is equivalent to saying my rectangle is 0.....my answer of "undefined" still works for the expression of 0 length multiplied by 0 width... the difference you argue between 0 * 0 = undefined 0 * 0 = 0 is meaningless... Last edited by Conway51; April 15th, 2018 at 12:11 PM. 
April 15th, 2018, 12:17 PM  #12 
Banned Camp Joined: Aug 2012 Posts: 153 Thanks: 3 
To any concerned Since the inability to define operations of zero by zero seems to be an issue...allow the following edit to the op.... All zero's must be accounted for..... operations of 0 by 0 are not expressible as a sum 0 + 0 = 0 + 0 0 * 0 * 0 = 0 * 0 * 0 0/0 = 0/0 negative element of zero or otherwise......extend this thought to operations involving varying amounts of zero inside parenthesis..... The length of a rectangle of 0 multiplied by the width of a rectangle 0 equlas 0 * 0 Last edited by Conway51; April 15th, 2018 at 12:21 PM. 
April 15th, 2018, 12:24 PM  #13  
Senior Member Joined: Oct 2009 Posts: 548 Thanks: 174  Quote:
So the area is area=width*length. So 0=0*0 as you just agreed to. Thanks.  
April 15th, 2018, 12:26 PM  #14  
Banned Camp Joined: Aug 2012 Posts: 153 Thanks: 3  Quote:
so...if post #12 by me nullifies your previous argument....would you offer another?  
April 15th, 2018, 12:28 PM  #15 
Senior Member Joined: Oct 2009 Posts: 548 Thanks: 174  
April 15th, 2018, 12:30 PM  #16  
Banned Camp Joined: Aug 2012 Posts: 153 Thanks: 3  Quote:
And to be fare...none of us can "have" a rectangle with the dimension you described..... therefore...the operation is undefined...or defined as 0 * 0... and expression you agreed with....  
April 15th, 2018, 12:32 PM  #17 
Senior Member Joined: Oct 2009 Posts: 548 Thanks: 174  
April 15th, 2018, 12:33 PM  #18 
Banned Camp Joined: Aug 2012 Posts: 153 Thanks: 3  no where in that post was there a rectangle.... proof......is in the dimensions....or the pudding if you will......lol you can say you have an empty set...or an empty vector...as well as an operation..but you do not have a rectangle..... 
April 15th, 2018, 12:35 PM  #19 
Senior Member Joined: Oct 2009 Posts: 548 Thanks: 174 
But fine, let's take some more examples. Let's take some good old sixsided dices, one red, and one green. The probability of coming up with a 7 is 0 of course, since the dice have sides zero. The multiplication rule of probability said that in independent events $$\text{Prob}(A ~\text{and}~B) = \text{Prob}(A) \text{Prob}(B)$$ So the probability of coming up with a 7 on the red dice AND on the green dice, is the probablity of coming up with a 7 on the red multiplies with the probability of coming up with a 7 on the green. Hence 0=0*0. 
April 15th, 2018, 12:38 PM  #20  
Banned Camp Joined: Aug 2012 Posts: 153 Thanks: 3  Quote:
on a side note....what is the difference between 0 and undefined as the sum......?....lol  

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