This article deals with four almost classic problems in Anaximander. of these the first is of comparatively minor importance, and the second is important not for what Anaximander thought but for what Aristotle thought he thought. Problem i is: Did Anaximander describe his as ? Problem 2: Did Aristotle mean Anaximander when he referred to people who postulated an intermediate substance ? Problem 3: Did Anaximander think that there were innumerable successive worlds? Problem 4: What is the extent and implication (...) of the extant fragment of Anaximander? Appended is a brief consideration of the nature of Theophrastus' source-material for Anaximander; on one's opinion of this question the assessment of the last two problems will clearly depend. (shrink)