The attached Section 5 of the article I'm writing includes new material about the linguist Michael Halliday. I was not sure whether to include a discussion of his work because the connection to Peirce was unclear. But after studying a diagram I include as Figure 12, I realized that it could be interpreted as a major contribution to phaneroscopy. In fact, I believe that it is an important step toward Peirce’’s goal of phaneroscopy as “a strong and beneficient science.” Comments, suggestions, and criticisms are welcome. John