Auke,
I agree with your observation, and the conclusion: "It
is a line of thought I can see leading to what Jon
wrote."
Charles' father Benjamin Peirce gave him a thorough
training in mathematics from early childhood, and Charles devoured
Whateley's logic book in a week when he was 13.  He insisted that
metaphysics should be based on mathematics, not on Hegel-style
verbiage.
Jon's method  of focusing on the words is a kind of
literary criticism that would be more appropriate for analyzing
Shakespeare than Peirce.
John

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