  For a discrete-negative-time discrete-space SDE, which admits no strong
solution in the classical sense, a weak solution is constructed that is a
(necessarily nonmeasurable) non-anticipative function of the driving i.i.d.
noise. The result highlights the strong r\^ole measurability plays in
(non-discrete) probability. En route one -- quite literally -- stumbles upon a
converse to the celebrated Kolmogorov's zero-one law for sequences with
independent values.
