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Strange Loops

Douglas Hofstadter's term for self-referential systems whose levels fold back on themselves — the conceptual device at the heart of Gödel, Escher, Bach (1979) and of his theory of consciousness.
A strange loop is a self-referential system in which, by moving upward (or downward) through a hierarchy of levels, one unexpectedly arrives back where one started. Hofstadter introduced the term in Gödel, Escher, Bach: an Eternal Golden Braid (1979) and elaborated it in I Am a Strange Loop (2007), where he argues that consciousness itself is a strange loop — the brain modeling itself modeling itself.
Strange Loops
Strange Loops

In The You On AI Field Guide

Strange loops are the most influential non-computational theory of consciousness in the late 20th century. Where Claude Shannon reduced communication to bits and the Dartmouth founders reduced thinking to symbol manipulation, Hofstadter reduced selfhood to recursion. For AI, this matters because it poses a question the engineering tradition can't answer: could a sufficiently deep self-modeling language model be a strange loop, and therefore conscious?

Strange loops are also a recurring preoccupation of contemporary interpretability research in AI. When a language model generates text about itself, or a reasoning model reasons

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