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Why is the fractional-reserve banking not a Ponzi scheme? 
Your question contains two different concepts: fractional reserve banking and debt-based money.  When thinking of these two things I think it is important to analyze these items separately before trying to understand how the whole system works. Fractional Reserve Banking As others have pointed out fractional reserve banking is not a ponzi scheme.  It can be fraudulent, however.  If a bank tells all its depositors that they can withdrawal their money at any time (i.e. on demand) and the bank then proceeds to loan out some portion of the depositors' money then the bank has committed fraud since there is no way they could honor the depositors' requests for their money if many of them came for their money at one time.  This is true regardless of what type of money is deposited - dollars, gold, etc..  This is how most modern banks operate. Debt-based money Historically, the Fed would introduce new money by buying US Treasuries.  This means Federal Reserve Notes (FRN) are backed by US Treasuries.  I agree that this seems strange.  Does this mean if I take my FRNs to the Fed I could redeem them for US Treasuries?  But US Treasuries are promises to pay FRNs in the future.  This makes my head hurt.  Reminds me of the definition for recursion: see recursion. Here is an experiment.  What if we wanted to recreate FRNs today and none existed?  The US government would offer a note to pay 100 FRNs in one year and pay 5% interest on the note.  The Fed would print up its first 100 FRNs to buy the note from the US government.  The US government would spend the FRNs.  The first 100 FRNs have now entered into circulation.  At the end of the note's term the Fed should have 105 FRNs since the government agreed to pay 5% interest on the note.  But how is the US government going to pay the interest and principal on the note when only 100 FRNs exist?  I think this is the central point to your question.   I can come up with only two answers: 1) the Fed must purchase some assets that are not debt based 2) the US government must continue to issue debt that is purchased by newly printed FRNs in order to pay back older debt and interest.  This is a ponzi scheme. The record debt levels seem to indicate the ponzi scheme option was chosen.