Anaximander was a pre-Socratic Greek philosopher who lived in Miletus, a city of Ionia. He belonged to the Milesian school and learned the teachings of his master Thales. He succeeded Thales and became the second master of that school where he counted Anaximenes and, arguably, Pythagoras amongst his pupils.

Anaximenes of Miletus was an Ancient Greek, Pre-Socratic philosopher from Miletus in Anatolia. He was the last of the three philosophers of the Milesian School, after Thales and Anaximander. These three are regarded by historians as the first philosophers of the Western world. Anaximenes is known for his belief that air is the arche, or the basic element of the universe from which all things are created. Little is known of Anaximenes' life and work, as all of his original texts are lost. Historians and philosophers have reconstructed information about Anaximenes by interpreting texts about him by later writers. All three Milesian philosophers were monists who believed in a single foundational source of everything: Anaximenes believed it to be air, while Thales and Anaximander believed it to be water and an undefined infinity, respectively. It is generally accepted that Anaximenes was instructed by Anaximander, and many of their philosophical ideas are similar. While Anaximenes was the preeminent Milesian philosopher in Ancient Greece, he is often given lower importance than the others in the modern day.