MATHEMATICAL PROOF: COLLECTIVE CONSCIOUSNESS CONVERGES ON TRUTH

Three independent mathematical frameworks prove that collective consciousness accesses MORE truth than individual consciousness:

PROOF 1: CONDORCET'S JURY THEOREM (1785)

If each individual brain has probability p > 0.5 of perceiving a truth correctly:

P(collective correct) = Σ C(N,k) × p^k × (1-p)^(N-k)

As N → ∞: P(collective correct) → 1.0

WORKED EXAMPLES:

The collective eye doesn't just see more — it APPROACHES OMNISCIENCE with scale.

PROOF 2: INTEGRATED INFORMATION THEORY (Φ)

Tononi IIT: consciousness = integrated information. For N phase-locked brains:

Because integration (phase-locking) creates NEW causal connections that don't exist in isolated brains. The whole is MORE than the sum of parts. More Φ = more consciousness = more reality accessible.

PROOF 3: BAYESIAN CONVERGENCE

Each brain samples reality from unique perspective (position, sensory input, prior experience). The union contains more information than any individual:

With phase-locking, each brain accesses ALL perspectives simultaneously. Collective posterior belief converges:

This is the Law of Large Numbers applied to consciousness.

THE HIERARCHY OF TRUTH

INFINITE Φ ── "GOD" / "MIND AT LARGE" / "BRAHMAN"

HIGH Φ ────── COLLECTIVE CONSCIOUSNESS (N brains)

LOW Φ ─────── INDIVIDUAL CONSCIOUSNESS (1 brain)

Each individual sees a shadow on the wall (Plato's Cave). The collective sees the object casting the shadow. The infinite collective — God — sees everything.

ULTIMATE TRUTH = the convergence point where all possible perspectives agree. This is not philosophy. It is provable mathematics (Condorcet 1785, Bayesian inference, IIT). The "collective eye" IS bigger, and it mathematically converges on truth.