- #1
Caveat
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To add to the oq
- Is the "center" of an object an entirely logical construct?
I draw a circle, find it's center and mark a point there. This point, no matter how small I mark/draw it takes up space (both physically and visually in my mind). Anything that takes up space has a center point, and this process goes on infinitely
If I apply maths to this question, it tells me the center point doesn't even exist. For example, if the diameter of a circle is 1, then it's center point would be at 0.5, but adding 0.5 and 0.5 (radius) equals 1, so where does this center point lie along it's diameter?
- Does the distance between the faces of the cube and it's center point decrease as it shrinks?
Firstly, why isn't the center point of the cube part of the cube?
Assuming the entire cube is shrinking would suggest that even it's center point would shrink with it (if that makes sense), that way the cube would shrink infinitely and the distance between its faces/vertices and center would remains in equal ratio
Another way to think of this is to imagine a man at the center of a perfectly square room but for every step he takes towards one of it's walls he shrinks to half his size. Notice that what determines when he shrinks is his steps, which is a subjective form of measurement since they decrease WITH him, so he never reaches the walls of the room?
- Is the "center" of an object an entirely logical construct?
I draw a circle, find it's center and mark a point there. This point, no matter how small I mark/draw it takes up space (both physically and visually in my mind). Anything that takes up space has a center point, and this process goes on infinitely
If I apply maths to this question, it tells me the center point doesn't even exist. For example, if the diameter of a circle is 1, then it's center point would be at 0.5, but adding 0.5 and 0.5 (radius) equals 1, so where does this center point lie along it's diameter?
- Does the distance between the faces of the cube and it's center point decrease as it shrinks?
Firstly, why isn't the center point of the cube part of the cube?
Assuming the entire cube is shrinking would suggest that even it's center point would shrink with it (if that makes sense), that way the cube would shrink infinitely and the distance between its faces/vertices and center would remains in equal ratio
Another way to think of this is to imagine a man at the center of a perfectly square room but for every step he takes towards one of it's walls he shrinks to half his size. Notice that what determines when he shrinks is his steps, which is a subjective form of measurement since they decrease WITH him, so he never reaches the walls of the room?
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