Bank means bank ledger account. The bank balance and receivables cannot both increase because they are both assets.

>That's right. The distinction is based on whether the account represents an asset or a liability. ... A completely equivalent formulation is that liabilities have negative signs attached to them

Understood. My point was merely that you cannot just change the labels.

The downside of this approach is that you would no longer be able to see whether a journal entry balances out based on the labels alone.