kakuritsu
確率 / probability
P(H) = 1/2
Frequentists read the coin as a limit: repeat the throw until the tally approaches one half. Bayesians read the same coin as a state of information: before impact, two hypotheses retain equal weight. Both interpretations survive because the sample space is brutally small and completely enumerated.
The page refuses metaphor. Two outcomes. One observation. A counter that never sentimentalizes uncertainty.
THE DIE
A die is not randomness; it is a machine with six terminal labels. The violence of the throw hides determinism inside unread initial conditions, leaving a useful fiction: each face occupies one sixth of the formal space.
Probability begins when mechanical detail becomes too expensive to track.
THE TREE
The binary tree begins innocently, then doubles its debt at every level. A path is a sentence of decisions; a leaf is the price paid for asking one more question. The lower branches cross the inversion line: conditional probability changes the room in which counting occurs.
THE URN
An urn without replacement is memory made physical. Every draw damages the old denominator. The next probability is not a repetition; it is an answer conditioned by the visible absence of what has already been removed.
The only certainty is that you calculated.