Would human extinction solve the worlds pain?

yes because it will cause no more pollution and decrease the destruction of nature.

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No, that's silly. The earth is in fact feeling no pain. Humans are simply speeding up what are perfectly natural cycles on earth. The earth has gone through stages much more toxic than the present, and it will again. As we speed the cycles up, we are only hastening our own destruction, nothing more. The earth will go on following its natural cycles and will neither miss us nor be grateful for our passing.