The assumption that you can always add 1 to a number is the root of the problem.
But the problem is more clearly stated by infinity not being handled correctly.

Under the rules of math 1 = -1
It has been shown and proven.

Adding all the numbers together = 1/12
again, shown and proven.

The other half of the problem is that we leave the world of real math and enter the world of imaginary math.

Like your "i give you one" scenario.
It only works within the conditions of numbers being between 0 and max_database_integer or total_hive
And between 0 and current_account_balance.

As long as we stay within those bounds, your analogy holds, when we break any one of those bounds, the results get strange real quick.

Similarly 1 apple + 3 apples = 4 apples.

As long as there are at least 4 apples.
If, there is only 3 apples

1 apple + 3 apples = undefined.

I do not want to be lumped in with postmodern thinkers.

However, my conclusions are the same...