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In our case, we are in the Cenozoic Era, which started at the end of the time of the dinosaurs. We are in the Quaternary Period, which is within the Cenozoic Era. And within the Quaternary, we are in the Holocene Epoch.

"What's The Anthropocene?". "TED Radio Hour" with Guy Raz, www.npr.org. September 30, 2016.
In our case, we are in the Cenozoic Era, which started at the end of the time of the dinosaurs. We are in the Quaternary Period, which is within the Cenozoic Era. And within the Quaternary, we are in the Holocene Epoch.