I hesitate to call Peter Adamson "Professor Adamson" as other reviewers have done. It calls to mind an image of a dry college lecture. This podcast is not that.
This podcast will theoretically cover all of the history of philosophy before it is done, and I only hope that the professor will remain healthy, committed, and supported to see it through to its completion. As a layman in philosophy, this is an amazing tour through the history of philosophical thought, which of course includes "natural philosophy" - physics, logic, etc. - in addition to the more esoteric fields. Using a combination of puns (so many puns!), giraffes, and Buster Keaton, ancient thought is explained in a way that the 21st century mind can easily grasp.
Listening to this podcast is like auditing a course on the history of philosophy - no tests, and no homework! I don't anticipate that I will be able to tell my Anaximander from my Anaximines or my Abu Bakr al-Razi from my Abu Hatim al-Razi at the end, but Professor Adamson makes it a good story, and if nothing else it makes my commute go by quickly.
If you enjoy history, you will no doubt enjoy the History of Philosophy Without Any Gaps.