Haecceitism correctly identifies that world-isomorphism doesn't entail identity preservation, since two worlds could be structurally identical yet contain numerically distinct individuals.

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Entail(In logical reasoning and argumentation): To logically follow or guarantee as a necessary consequence; if something is true, what does it force to also be true?
Haecceitism: A theory of primitive identity of individuals across possible worlds.
Identity preservation(in metaphysics): Keeping the same identity or remaining the 'same thing' across different situations or possible worlds. For example, whether you would still be *you* if everything about your physical properties were different.
World-isomorphism(in logic and metaphysics): A technical way of saying that two possible worlds or scenarios are structurally identical—they have exactly the same arrangement of features, properties, and relationships, just like two identical blueprints.
numerically distinct(Used to characterize the parts of the Form that must exist separately in each participant)

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