If problems are individuated intensionally—by their meaning or cognitive content rather than their extension—then two co-extensional but intensionally distinct problems may not be genuinely self-reducible via a single canonical function, undermining the reflexivity premise.
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The meaningful idea annexed to a term, which must ultimately be traceable to original impressions.
extension(Semantics and philosophy of language)
Another term for reference, i.e., the object or set of objects a term picks out
individuated(Chodorow's account of boys' psychological development)
Feeling oneself to be separate or distinct from others, as a result of identifying with an absent parent
intensionally(as used in logic and semantics)
In a way that focuses on meaning, ideas, and relationships between concepts rather than physical objects—about how concepts connect through their meanings.
intensionally distinct(as used in philosophy of language and logic)
Two concepts that have different meanings or definitions, even if they refer to the same things—like 'a triangle with three equal sides' and 'a triangle with three equal angles' mean different things but describe the same shape.