What is the distance within a point and why is it important to discuss?

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The discussion centers on the concept of distance within a point, questioning why distances are typically only considered between points. One participant argues that a point can have a distance that approaches zero under certain conditions, likening it to opposing forces in physics. However, others clarify that in mathematics, a point is defined as having no dimensions, making the idea of a point having distance nonsensical. The conversation includes humorous exchanges about unrelated topics, such as purchasing a t-shirt, but ultimately concludes with a lack of clarity on the original question. The thread is locked due to the absence of further explanation from the original poster.
biofine
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people discuss only distances between points but why not within a point itself ?
i think a point also has a distance, and the distance becomes zero just under some condition, which can be thought in the same way as when two opposite forces are canceled out in normal simple physical phenomena ?

you sure hear of the story of how to touch the moon with a finger in Budhism, people touch it by heart.

what do you think ? thanks a lot
 
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I think you're using lots of flowery words to attempt to say what is just true for plain mathematics, has nothing to do with forces cancelling, buddhism, or touching the moon. The distance between two real numbers is denoted |x-y|, and is called the absolute difference. It is 0 if x=y, since it is x-y, if x=>y, or y-x if x<=y.

I'm not entirely sure how to make sense of the notion 'a point has a distance'. It's like saying a table has a cat.
 
Perhaps you should explain why you think "a point also has a distance". It might help if you told us what your definition of "distance" is.
 
A 2D point is just a pair of numbers. Distance is only defined between points so how could one point have distance?
 
Well, when magnifying a point, you'll still get a point. It's not bigger, it's just it. It's not like a circle. (i.e when you magnify a circle, it becomes bigger). So, a point does not have a distance.
 
for example,

i buy myself a new t-shirt at $100

d(I->myself)=100
d(I->myself)=tshirt

abs(distance)=100-100=0
 
What's your point? :P Sorry. I don't understand what exactly you're trying to say...

Points are defined to have no width...they have no dimension.
 
doesn't this belong in the crackpot section or something?
 
biofine said:
for example,

i buy myself a new t-shirt at $100

d(I->myself)=100
d(I->myself)=tshirt

abs(distance)=100-100=0

Umm... What?
 
  • #10
I did not know distance was measured in dollars!
 
  • #11
In pure mathematics, a point merely has no width or length of itself. That kind of concept may work in engineerings or things similar.
 
  • #12
I don't understand why such threads aren't locked.
 
  • #13
biofine said:
for example,

i buy myself a new t-shirt at $100

Then you got ripped off on that shirt, but I still don't see how that has anything to do with a point having distance. :p
 
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  • #14
radou said:
I don't understand why such threads aren't locked.
Because it's just too much fun!

Actually, I was hoping that the OP would answer my questions and explain why he had said that. Since he hasn't bothered to respond, I'm locking this thread.
 
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