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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.
So, if I understand right, you think that mathematics is a mental creation and does map well to reality, but it doesn't make it unrelated to reality. Reality seems to be independent of our maps, and a relation between a map and it would be a mental one. Yet reality is beyond any maps or limits.
Well, the drawing is non-bivalent yet we choose our thinking to be such, as evident towards a lot.
You keep ignoring the issue of units. Multiplying dollars by dollars would lead to square dollars, which is a mistake (and not just because dollars are actually rectangular in shape). It is "-2 × $-2", not "$-2 × $-2". Money are not multiplied by money. Money are mutliplied by... number of accounts, or number of repetitions, or other dimensionless numbers.