Yes, but I didn't include living matter, because it it still a regular part of the cycle. When things die, their carbon returns to the atmosphere. Oil and coal are in it for the long haul.
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Even so, the conditions in the Cambrian were extremely good for life, and helped it back on its legs after a mass extinction. So its perfectly possible global warming, even if it is anthropogenic, is good for the planet.
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And the consequences of global warming will cure the problem, and the planet will recover. Unfortunately we, and so many other species, won't be around to enjoy it.