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Zeno formulated several mind-boggling questions, ''Zeno's paradoxes.'' They were a challenge to philosophers. For the most part, today they are considered to have been solved by the [[mathematics|mathematical]] concept known as the ''limit.''

Zeno formulated several mind-boggling questions, ''Zeno's paradoxes.'' They were a challenge to philosophers. For the most part, today they are considered to have been solved by the [[mathematics|mathematical]] concept known as the ''limit.''

One of Zeno's paradoxes claims that it is impossible ever to reach a destination, such as a house that is a mile away. For in order to walk that mile, you must first walk half a mile, leaving half a mile to go. But before you can complete that remaining half a mile, you must first walk a quarter of a mile, leaving a quarter of a mile to go... and so on. Thus, apparently, you can get closer and closer and closer to your destination but can never actually quite get there.   

One of [[Zeno's paradox]]es claims that it is impossible ever to reach a destination, such as a house that is a mile away. For in order to walk that mile, you must first walk half a mile, leaving half a mile to go. But before you can complete that remaining half a mile, you must first walk a quarter of a mile, leaving a quarter of a mile to go... and so on. Thus, apparently, you can get closer and closer and closer to your destination but can never actually quite get there.   

A possibile mathematical solution is that the time it takes to make each partial step approaches [[zero]] as the number of steps approaches [[infinity]], and they cancel each other out.

A possibile mathematical solution is that the time it takes to make each partial step approaches [[zero]] as the number of steps approaches [[infinity]], and they cancel each other out.

[[Category:Ancient Greek Philosophers]]

[[Category:Ancient Greek Philosophers]]