Are we at risk of "changing subject" here?

An idea, itself is a Subject; it is an event *ideated* somewhere. Then, the idea has *aboutness*, which could be either a single subject (parent node is about the concept (subject) labeled "idea".

The parent node asserts a triple {idea, can have, multiple representations}

But, that parent node is a triple, an assertion.  It is asserting that some subject, labeled "idea" exists in a relationship with multiple representations [of it] -- being the same subject.

So, what, really, is the meaning of the assertion unless there is an entailed change of subject with each different representation?

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