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So then matter, though infinitely divisible, never becomes nothing. In fact, if you look into the work of Zeno you'll see he comes to the same conclusion. The purpose of his paradoxes was to show that change is an illusion and the world of sense-perception is useless (he was a student of Parmenides). (By change being an illusion of sense-perception Zeno and Parmenides mean that there are only two states being and non-being; since being cannot become non-being and non-being cannot become being; there is no becoming and thus no flux or change.)
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So life therefore is eternal, now all the people that think your just nothing when you die have a scientific reason to believe otherwise!