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Addenda: Whilst I initially thought classical electromagnetism was not ab initio – because it doesn’t explain all fundamental or natural phenomena, it turns out to be one. This is because it is formulated on the formal system whose axioms are all derived from Maxwell’s laws and form an internally consistent system and being ab initio does not have any requirements of being true in our world.

The fact that it doesn’t explain all physical phenomena correctly doesn’t mean it is no longer ab initio as a system only fails to be ab initio if it employs phenomenological or empirical data.

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