The Fermi Paradox is a key concept discussed in the podcast episodes, as it relates to the search for extraterrestrial life and the lack of observed evidence for such life despite the apparent high probability of its existence.

In episode The Drake Equation (Encore), the Drake Equation is introduced as a way to estimate the number of intelligent civilizations in the galaxy, which suggests that there should be many such civilizations. However, the paradox is that we have not yet detected any clear signs of their existence.

In episode #348 - Nathalie Cabrol: Search for Alien Life, astrobiologist Nathalie Cabrol discusses the Fermi Paradox and potential explanations for the apparent absence of extraterrestrial intelligence, such as the possibility of great filters that limit the development of complex life.

The Fermi Paradox is a central issue in the search for extraterrestrial intelligence and understanding the origin and prevalence of life in the universe.