Statement of infiniteness
[Node to be completed]
The statement that a certain process is infinite is not a prediction.
But it is a generator of predictions. Our definition of a prediction T!
includes a procedure, let it be denoted as P(t_i), which
is applied to the states t_i, i= 1,2,... etc. of the test T
and determines, in a finite time, whether each given
state is Success, Failure, or neither of
the two, which we shall denote as Notend. Therefore, the statement
that the state t_i is Notend is a prediction, namely,
the success of the procedure that runs P(t_i) and compares the result
with Notend. Now we can define what is the meaning of the statement
that T is infinite: it is a generator which produces the following
row of predictions:
t_1 is Notend
t_2 is Notend
t_3 is Notend
...
etc., infinitely
Copyright© 1991 Principia Cybernetica 
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