Edwina, Thanks for the URL of that article. I changed the subject line to the title of https://scholar.uwindsor.ca/cgi/viewcontent.cgi?article=1047&context=ossaarchive The full title is "Inference as growth: Peirces ecstatic logic of illation", and I want to emphasize that this article is talking about illation as a process, not as a particular sign for if-then, The Latin verb 'infero' is irregular. Its present participle 'inferens' is the source of the English word 'inference'. Its past participle 'illatus' is the source of the words 'illation' and 'illative'. When Peirce said that 'ergo' (therefore) is a sign of illation that signals the end of a process. Modern logicians use the term 'rule of inference' for what Peirce called 'permission'. The present participle suggests one step of a continuing process. The article makes some good points, but it should not be considered as an argument for the scroll as a logical primitive. Peirce's permissions (in every version of EGs from 1897 to the end) depend only insertions and deletions in negative or positive areas. A scroll is just one particular arrangement. As Peirce wrote in R670, a scroll is equivalent to a nest of two negations. In L231 and later, he raised his pen when he drew two ovals in order to avoid any suggestion that the scroll shape had any significance. There is, of course, more to say. John
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