Yes. Everything in nature is finite, but virtually everything in nature is recycled, too. The scenario astronomers give for the end of the earth is this: As the sun slowly expands over the next few billion years, the earth will, first, become untenable for life because of the rise in temperatures - assumedly by that time, mankind will have moved on to somewhere else in the Milky Way, or possibly even have been superceded by some other life form on earth. Eventually, as the sun expands more and becomes a red giant, the earth will actually be "inside" the shell of the sun. When the sun collapses to white dwarf state, the shell will be blown off into space. If earth has not been melted, it will be a slowly cooling dead rock. That is estimated to be about 4.5 billion years from now.
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