A new paper explores the theoretical underpinnings of artificial superintelligence, focusing on the concept of self-modification. The authors propose a formal framework using an associative operator algebra to analyze how self-modification, particularly when it extends to its own supplementary mechanisms, can lead to the collapse of classical self-referential structures. This collapse is shown to mirror paradoxes like the liar paradox and concepts from philosophical theories such as Priest's inclosure schema and Derrida's diffèrance. AI
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IMPACT Explores theoretical limits of AI self-modification, potentially informing future AI safety research.
RANK_REASON The submission is an academic paper published on arXiv discussing theoretical aspects of AI.