Why, my dear fellow, that is exactly how every government-backed currency works today!
And, thanks to its inflationary nature, it becomes virtually worthless over time:
Although inflation has remained low in recent years, it ravages the value of paper money over time. A dollar in 1900 is only worth about $0.04 in today's currency.
Quoted from: http://finance.yahoo.com/blogs/daily-ticker/bitcoin-prices-b...