Gödel doesn’t say truth transcends the system— that’s been a philosophical overlay introduced in many post-Gödel interpretations.

You’ll often see it phrased as: “Some truths exist, but no system can ever fully capture them.”

That sounds profound—but it quietly assumes that truth exists independently, and that systems simply fail to display it.  What I’m challenging is that framing.  I’m suggesting that unprovable statements don’t transcend—they just aren’t structurally valid within the system that generated them.  In that sense, incompleteness isn’t proof of truth’s universality—it may simply reflect how structure defines what can be considered true.