Mathematics Homework Solutions
#43850
Zeno's Paradox
SUPPOSE THAT A MAN WANTS TO CROSS TO THE FAR WALL OF A ROOM THAT IS 20FT ACROSS. FIRST HE CROSSES HALF OF THE DISTANCE TO REACH THE 10 FT MARK. NEXT HE CROSSES HALFWAY ACROSS THE REMAINING 10 FT TO ARRIVE AT THE 5 FT MARK. DIVIDING THE DISTANCE IN HALF AGAIN HE CROSSES TO THE 2.5 FT MARK AND CONTINUES TO CROSS THE ROOM IN THIS WAY DIVIDING EACH DISTANCE IN HALF AND CROSSING TO THAT POINT BECAUSE EACH OF THE INCREASINGLY SMALLER DISTANCES CAN BE DIVIDED IN HALF HE MUST REACH AN INFINITE NUMBER OF MIDPOINTS IN A FINITE AMOUNT OF TIME AND WILL NEVER REACH THE WALL
EXPLAIN THE ERROR IN ZENO'S PARADOX.
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