With no such assumptions, the system could be an arbitrary function, and the values of arbitrary functions are notoriously hard to predict. After all, if someone proposed a strategy for predicting the values of an arbitrary function based on its past values, a reasonable response might be, “That is impossible. Given any strategy for predicting the values of an arbitrary function, ・・・” (引用終り)
だから、 この大げさな、”INTRODUCTION”にある [HT08b] でのこの大げさに書いた ”what the strategy would predict at t.”の部分が すっかり成書では、削除された。
そして、成書には、”7 The Topological Setting ・・・71”として7章でTopologicalな条件付きの議論になったわけ。 つまり、”With no such assumptions, the system could be an arbitrary function, and the values of arbitrary functions are notoriously hard to predict.”ではなく、繰返すが、Topologicalな条件付きの議論に後退したわけだ(^^