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thanks, corrected.

A negative count maps well into my understanding of physical reality. Positive count is adding multiple similar things, negative count is removing those things. Removing 2 debts is the same as adding 2 of the values of the debts. Thus -2 * $-2 = $4. Removing two $2 debts is equal to adding $4.

There are elements of math and symbolic reasoning that don't map to reality, fine. But those parts which DO map well, are pretty strong, and are empirically correct in addition to being symbolically/conventionally well-formed. Mathematics is a mental creation, but that doesn't make it unrelated to reality - it's a pretty good and well-tested model of our universe.

As to that picture, the water goes neither up nor down - it's a still drawing.

I'm sorry if I don't understand, but multiplying my debt with a greater debt leads to no debt. It is true as the mathematics show. If we say to the bank, check account A debt and multiply with account B debt, account A will have no debt. It is independent on how you want to phrase it.

What does each operation in your equation represent? "Removing two $2 debts is equal to adding $4"

It is true because the mathematics has to stay consistent, it is based on primordial choices. That's my point, we choose it this way.

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