On 2/2/2019 8:16 PM, Jon Alan Schmidt wrote:
Peirce did not introduce the concept of the Continuous Predicate until 1908, so anything that he wrote about Propositions prior to that reflects a different analysis--presumably the same one adopted in modern predicate logic, which you continue to advocate.
No. Peirce's later extensions are built on his core semantics, which is the foundation for 20th c. logics. See the short (5 page) history by Hilary Putnam: http://jfsowa.com/peirce/putnam.htm Furthermore, he never wrote anything about semes after 1906, except for one brief mention of the triad in a letter to Lady Welby in 1908. Therefore, nothing he wrote in 1908 or later could have any effect on what he wrote about semes in 1906.
I believe that we are now at the point where we will simply have to accept our disagreement and move on.
That is certainly true. The evidence shows that Peirce defined a seme as a predicate or quasi-predicate. Continuity cannot have any effect on that definition. There is nothing more to say. John
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