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Q&A How do mathematicians measure area for points?

1 answer  ·  posted 3y ago by deleted user  ·  last activity 3y ago by zavier‭

#5: Post edited by (deleted user) · 2021-12-01T10:06:30Z (almost 3 years ago)
  • There are two points (adjacent or not adjacent) on top of an infinite plane; how to measure how much area they catch together, as a "set".
  • If we put a minimal border around the two points, that border would be made from points by itself and would catch its own area, so it won't be clear what is really a part of what:
  • * One set for all points together
  • * Two different sets, one for the two poinis and one for the border points
  • There are two points (adjacent or not adjacent) on top of an infinite plane; how to measure how much area they catch together, as a "set".
  • Because that if we put a minimal border around the two points that border would be made from ten points by itself and would catch its own ten-point-area, it won't be clear what is really a part of what:
  • * One set for all points together
  • * Two different sets: One for the two points and one for the border points
#4: Post edited by (deleted user) · 2021-11-28T11:11:49Z (almost 3 years ago)
  • There are two points (adjacent or not adjacent) on top of an infinite plane and we want to measure how much area they catch together, as a "set".
  • If we put a minimal border around the two points, that border would be made from points by itself and would catch its own area, so it won't be clear what is really a part of what:
  • * One set for all points together
  • * Two different sets, one for the two poinis and one for the border points
  • There are two points (adjacent or not adjacent) on top of an infinite plane; how to measure how much area they catch together, as a "set".
  • If we put a minimal border around the two points, that border would be made from points by itself and would catch its own area, so it won't be clear what is really a part of what:
  • * One set for all points together
  • * Two different sets, one for the two poinis and one for the border points
#3: Post edited by (deleted user) · 2021-11-28T11:09:25Z (almost 3 years ago)
  • How do mathematicians measure area for dots?
  • How do mathematicians measure area for points?
#2: Post edited by (deleted user) · 2021-11-28T08:58:26Z (almost 3 years ago)
  • There are two dots (adjacent or not adjacent) on top of an infinite plane and we want to measure how much area they catch together, as a "set".
  • If we put a minimal border around the two dots, that border would be made from dots by itself and would catch its own area, so it won't be clear what is really a part of what:
  • * One set for all dots together
  • * Two different sets, one for the two dots and one for the border dots
  • There are two points (adjacent or not adjacent) on top of an infinite plane and we want to measure how much area they catch together, as a "set".
  • If we put a minimal border around the two points, that border would be made from points by itself and would catch its own area, so it won't be clear what is really a part of what:
  • * One set for all points together
  • * Two different sets, one for the two poinis and one for the border points
#1: Initial revision by (deleted user) · 2021-11-27T06:59:36Z (almost 3 years ago)
How do mathematicians measure area for dots?
There are two dots (adjacent or not adjacent) on top of an infinite plane and we want to measure how much area they catch together, as a "set".

If we put a minimal border around the two dots, that border would be made from dots by itself and would catch its own area, so it won't be clear what is really a part of what:

* One set for all dots together
* Two different sets, one for the two dots and one for the border dots