This means that there will always be an exact measurement between any two objects in Tspace, e.g., exactly one meter or exactly three feet and two and one thirty-seconds of an inch. When the cue ball travels the exact distance, then zero distance will be reached and the cue ball will strike the one ball. It might be easier to perceive this when one realizes that there are no units of measurement in Nature. There is no half of a half of a half … There is simply an exact distance, which can be related to other exact distances as longer or shorter, but none of which can be broken down into infinite parts.

Solution

   The solution of these two paradoxes should now be fairly obvious.

   1. Ispace only exists in the imagination, and Tspace only exists in three dimensional reality.
   2. In Zeno's paradoxes Ispace distances cannot be measured because the distance between any two objects is infinite (as proven by Zeno's paradoxes).
   3. In Tspace, distances can be measured between objects A and B, because there are no infinite distances between two objects in Tspace. In Tspace motion can be utilized to bring A and B together.
   4. It is not possible for Zeno's paradoxes to transfer to three dimensional reality.

   With the utilization of Ispace and Tspace we have the solution for two of Zeno's paradoxes.

Footnotes

1. http://nashuatelegraph.com
2. http://dictionary.reference.com/browse/converge?s=t
3. http://dictionary.reference.com/browse/limit?s=t
4. http://www.math.hawaii.edu/~lee/calculus/Series

           
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