In this research note, an overview of Galen’s logic is briefly summarized from the perspective of the reception of Aristotle’s logic. Galen’s logic is largely based on Aristotle’s logic in many respects. Almost all of Galen’s writings have been lost, and his major work on logic, On Demonstration, only has survived in fragments. However, even from those fragments, it can be surmised that Galen’s theory of demonstration is based on Aristotle’s theory of demonstration. However, Galen does not simply accept Aristotle’s theory of demonstration, as he uses terms such as “assumption” that are not found in Aristotle’s logic. It is worth considering what Galen’s originality in the theory of demonstration derives from and whether his originality is related to his medical art. There is a high possibility that Galen’s discovery of the composite syllogism and the relational syllogism in his Introduction to Logic is also unique. Furthermore, it is possible that Plato’s dialogues are related to the discovery of these syllogisms. It is a very interesting point that there is a possibility that Galen analyzed Plato’s dialogues and discovered his own syllogisms.