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Word Count: 1,229
Suppose Im to walk on a straight road from A to B I wear a pedometer as well as my sneakers and set off The distance AB is 100 meter I come to a place where my pedometer shows 50 Half of the way I think and keep going roughly estimating the remained distance Im going to walk half of the remained 50 then half of the remained 25 then half of the remained 125 then half of the remained 625 then half of the remained 3125 then Will I really arrive at B Mathematically speaking NO I may get so so close to B but never arrive at B itself Then why I really do arrive at B Its perhaps not that easy to answer However I just try to afford some rough conjecture Focusing on the different nature of Bs arriving points may shed some light upon the dilemma Realistically speaking B is a place not a single point Its a tree or stone or a cottage at the end of the road where is 100 meter away from the starting station A Why we arrive at B Well because we take B as some visible concrete spatial thing B occupies some space it has a three-dimensional nature NOT comparable to the mathematical B which is just a point consisting of no dimension I can claim that I actually never arrive at point B some invisible theoretical thing at the end of my journey but I do arrive at that B a stone or a tree or even an extremely narrow upright beam which is placed right 100 meter away from the starting point A Before launching into any further inferences lets discuss the very nature of point itself Mathematically speaking what is a point Is it some quantum concept If it cannot be reduced to any sub-parts if we take it as the ultimate constituent of a line the first dimension if
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