If I want to buy a house or a car which creates debt, I should be able to use a promissory note to pay that debt since it has the same effect as a federal reserve note in which it is a debt instrument to pay said debt. It's just like writing a cheque, once it's accepted then the debt is then offset, would this not be correct?
You have been reading Internet nonsense. The credit of the United States is better than yours and there is a legal obligation to take currency. There is no legal obligation to take a check.
Complete "sovereign" nonsense argument.
The US Government has never defaulted on its debt; people default on promissory notes every day.
A creditor can decide what debt instruments if any it will accept. A creditor (in the USA) cannot refuse to accept federal reserve notes for the payment of debts.
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Easy, a promissory note is a "promise to pay in the future." To pay what in the future, cash money. A federal reserve note, otherwise known as cash, is in fact money and when it changes hands the payment has been made. Offering a promissory note is not actually payment of anything, but instead a promise to pay in the future. PNs used in car financing and home mortgage loans are the result of a financial institution/bank taking a risk that you will pay them back in cash money after they have paid the person/company you purchased the home/vehicle from and they have a security interest in the car/home, so if and when you fail to pay them back in cash, they can repo/foreclose on the asset, and/or sue you for any difference owed.
You've just posted what frankly is gibberish someone made up on the internet. A federal reserve note is designated by Congress as currency. Your IOU isn't. In fact your IOU means you lack the cash to pay now. BTW since checks bounce many people refuse checks.
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