All the questions considered here link up with this problem: Suppose you had taught someone to write down series of numbers according to rules of the form: Always write down a number n greater than the preceding. (This rule is abbreviated to “Add n”). The numerals in this game are to be groups of dashes -, --, ---, etc. What I call teaching this game of course consisted in giving general explanations and doing examples. ‒ ‒ These examples are taken from the range, say, between 1 and 85. We now give the pupil the order, “Add 1”. After some time we observe that after passing 100 he did what we should call adding 2; after passing 300 he does what we should call adding 3. We have him up for this: “Didn't I tell you always to add 1? Look what you have done before you got to 100!” ‒ ‒ Suppose the pupil said, pointing to the numbers 102, 104, etc. “Well, didn't I do the same here? I thought this was what you wanted me to do”. ‒ ‒ You see that it would get us no further here again to say, “But don't you see … ?”, pointing out to him again the rules and examples we had given to him. We might in such a case, say that this person naturally understands (interprets) the rule (and examples) we have given as we should understand the rule (and examples) telling us: “Add 1 up to 100, then 2 up to 200, etc.”