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Sep 15, 2021 at 10:19 comment added Jukka Kohonen +1 for the vivid imagery and the nice distinction between ordinals and cardinals. In this view perhaps we can say that enumerating is "abstract tallying": you imagine the bijection as a list, and argue what would happen if you went through the list and kept tally marks. ("Concrete tallying" would then be actually doing it.) Also, I was not aware that counting is etymologically linked to com-puting!
Sep 14, 2021 at 21:37 history answered Pietro Majer CC BY-SA 4.0