Respond to the paragraph bellow.
After doing some online research about the Dichotomy Paradox I found an external website that helps me refute the paradox. The reference* states that the “actually infinite series of path lengths or segments 1/2 + 1/4 + 1/8 + … is infinite had to be rejected in favor of the new theory that it converges to 1.” This seems to make sense to me that if you add all the of the infinite fractions of a whole, the distance from point A to point B, the sum will be 1. With that being said, to me, it motion is possible because even though the distance from A to B can be broken into halves all of the half distances will still be equal to the whole distance.
Also within the same text it states “Aristotle, in Physics Z9, said of the Dichotomy that it is possible for a runner to come in contact with a potentially infinite number of things in a finite time provided the time intervals becomes shorter and shorter.” Which at the time he had no detailed theory prove his statements, but today we can use calculus to with the Standard Solution** to provide the detail to this theory.
Even though with this theory we can solve this though a mathematical stand point it has been stated in other posts that this movement may be a more of a perception than a reality and I still believe this may be a possibility, but through applying mathematics to this paradox I believe motion is truly possible.
*Zeno’s Paradoxes
http://www.iep.utm.edu/zeno-par/#SSH3aii Section 3 III.
**Explanation of the Standard Solution
http://maverickphilosopher.typepad.com/maverick_philosopher/2009/07/zenos-regressive-dichotomy-and-the-calculus-solution.html
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