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Deconstructing Superintelligence: Identity, Self-Modification and Differance

arXiv:2604.19845v1 Announce Type: new Abstract: Self-modification is often taken as constitutive of artificial superintelligence (SI), yet modification is a relative action requiring a supplement outs

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arXiv:2604.19845v1 Announce Type: new Abstract: Self-modification is often taken as constitutive of artificial superintelligence (SI), yet modification is a relative action requiring a supplement outside the operation. When self-modification extends to this supplement, the classical self-referential structure collapses. We formalise this on an associative operator algebra A with update hat{U}, discrimination hat{D}, and self-representation hat{R}, identifying the supplement with Comm(hat{U}); an expansion theorem shows that [hat{U},hat{R}] decomposes through [hat{U},hat{D}], so non-commutation generically propagates. The liar paradox appears as a commutator collapse [hat{T},Pi_L]=0, and class mathbf{A} self-modification realises the same collapse at system scale, yielding a structure coinciding with Priest's inclosure schema and Derrida's differance.

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Source: arXiv cs.AI | 2026-04-23

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