A learning experiment was designed using ''Renju (Go-bang)''. The matc
hes could proceed with prior indefiniteness, distinct from probability
, as under the finite VOP (velocity of observation propagation). The i
nformation of each situation in the first game S-SG and one in the rep
lay S-RE were investigated with the basic strategy derived from the ''
Renju'' rules. The behavior of the difference (S-RE (i)-S-SG (i)) sugg
ested that prior indefiniteness turned into definiteness, suggesting t
hat perpetual decision change occurred and that it perpetually allowed
observers to construct higher levels of hierarchical learning logic.