>>13230616Do we need to do the whole "teaching math to Baldrick" routine again?
Look, for simplicity, we assume that we want the number of ways to count
two beans, a white one and a red one. To make 1+1 you arrange the white bean
next to the red bean on the table, and utter the words "the white bean is one, and
the red bean is one more, which makes two beans altogether."
Now you rearrange the beans so that the red bean gets counted first, and the
white bean second. Your explanation of how 1+1 equal 2 clearly changes at
that point. And indeed, we have found two different ways that 1+1 can be
said to add to 2.