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Presents a theory of reflective consciousness, will, and self in which each is modeled using self-referential mathematical structures called hypersets, argued via pattern theory to occur as patterns within the “moving bubble of attention” of brains and brain-like AI systems. It addresses which abstract structures correspond to the experiences of free will, reflective consciousness, and the phenomenal self.
A reflective-agency source for the Self-Modification and Safety Deep Dive — it formalizes the self-model, will, and reflective-consciousness structures that a system reasons over when it reflects on and modifies itself, providing conceptual grounding for the “self” in self-modification.