Lawmakers are at an impasse on how to pass a continuing resolution (CR) to fund the government, which has been shut down for a week. They are also working against an Oct. 17 deadline for raising the nation's borrowing limit. 

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Treasury and the White House have warned that if the limit is not lifted, the government could default on its debt, leading to a recession. 

“Congress told the government to spend more money than we had … but now Congress is threatening to run out on the bill,” Warren said. “If that strikes you as bizarre, it is.”

But some Republicans, such as Sen. Rand PaulRandal (Rand) Howard PaulOvernight Defense: Congress poised for busy week on nominations, defense bill | Trump to deliver Naval Academy commencement speech | Trump administration appeals decision to block suspected combatant's transfer Democrats mull audacious play to block Pompeo Overnight Defense: Trump steps up fight with California over guard deployment | Heitkamp is first Dem to back Pompeo for State | Dems question legality of Syria strikes MORE (R-Ky.), have said the credit limit doesn’t need to be raised because enough revenue is generate to pay the interest on U.S. debt.

Warren said a U.S. default could bring on a “world-wide recession.”

“We can make a mistake and then back up and fix it,” Warren said. “A default on our national debt is not one of those things. … We are playing with the lives of every American.”

House Republicans have demanded that repealing parts of ObamaCare be included in a debt ceiling increase and Senate Republicans have called for major entitlement reform to reduce spending. President Obama has demanded that Congress sent him a "clean" debt ceiling increase.

It's unclear where the fight will go from here as each side becomes more entrenched.