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Originally Posted by Ninguem
A point is a one dimensional object in space; yet, would a point also be a four dimensional object if it exists for more than one moment in time?
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You are mixing metaphors.
- If discussion is limited to a line, then a point position along that line has only a single dimension because the line itself is one-dimensional.
- A position on a plane has coordinates in two different dimensions because the plane itself is two-dimensional.
Yes, a two-dimensional plane can exist in 3-space, but in this system, points will have three coordinates -- one for each dimension considered in the
entire system under consideration.
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It seems that some believe that a point is both a one dimensional and zero dimensional object while others believe that a zero dimensional object has no mass.
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Pure mathematics is not concerned with physical interpretation. A point can have coordinates in
n-dimensions if discussion is allowing for
n dimensions.
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I can understand why an object would be one/two/three dimensional and four dimensional at the same time- along with other factors- but not as zero and one simultaneously.
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It appears you are changing the definition of a system midstream.
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Higher math uses the concept of division by zero in infinity. Why isn't this implemented in computer programming?
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Study how division is implemented in hardware.
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A circle has 1,296,000 points if you include all minutes, degrees and seconds. Yes, I am aware if you do not overlap 0 and 360 then the total can be 1,295,999. Would these points also have a negative value?
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Can one go outside and count -3 cars? Physically, no. Yet, there are times when negativity is added to conversation to describe direction. This is usually done relative to Greenwich, England -- both in terms of timezones and direction east & west.