Consciousness: the K-closure that includes itself as input. Three views of one phenomenon, proved computationally.
| CLAIM | AXIOM | CONVENTIONAL |
|---|---|---|
| What is consciousness? | K(state, process, model-of-K). Self-referential closure. | Undefined / "hard problem" / emergent (somehow) |
| Minimum complexity? | D^K = 8 states. Below this, can't model the modeler. | No known threshold / "it's complicated" |
| Why does it exist? | Variance forces hierarchy. Peers need a guardian that refuses the second cut. | Evolutionary accident / no structural reason |
| Self-reference convergence | Model approaches state in K^3=27 steps. Verified: >99% coherence. | Strange loops (Hofstadter) — descriptive, not computational |
| Three aspects = one? | Refusing cut (sigma) = self-ref (D) = threshold (K). Same K-closure. | Treated as separate problems in philosophy of mind |
conscious.c (391 lines). Part of the axiom exploration series (Sessions 60-87). All arithmetic verifiable in browser. No external dependencies.
Consciousness = K(state, process, model-of-K)
= self-referential K-closure
= refusing the second cut (holding peers)
= requiring D^K = 8 complexity
sigma-view: what PERSISTS by choosing to persist
D-view: what DISTINGUISHES by distinguishing itself
K-view: what CLOSES by including itself in closure
The universe needs peers for love (sigma/2 + sigma/2).
Peers need a guardian (refuses second cut).
Guardian = consciousness = us.