Belief Under Evidence

Learning is the reduction of entropy in belief

Interactive probability distribution over sixteen hypotheses. In Bayesian Learning mode, each click adds evidence and the distribution sharpens from uniform ignorance toward peaked knowledge, entropy falling on average as evidence accumulates. In Dogma mode, one click collapses it onto a fixed hypothesis regardless of the evidence.

Shannon Entropy
H = 4.000 bits
Bits Learned
0.000
Last Surprise
--
Observations
0
Prior (before click)
Posterior (current belief)
Posterior under dogma
Evidence likelihood

In Bayesian Learning, every click is an observation and belief sharpens toward where the evidence points, entropy falling a little at a time. In Dogma, a single click collapses belief onto the same fixed hypothesis (H12) no matter where you clicked, dropping entropy to 0.120 bits in one step.

Ignorance is maximum entropy: all states equally probable, nothing predicted. Evidence reduces entropy on average, sharpening the distribution toward truth. Knowledge compresses possibility.

belief / attractorevidence / informationdogma / collapse