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The problem crypto was born to solve: trust in money
Every digital payment you make depends on trusting a third party — a bank, a card network, a payment processor — to accurately record who owns what. That trust has real costs: a bank can freeze your account, a government can order it to, a processor can decline a transaction, and a custodian can fail. In traditional finance those risks are managed (insurance, regulation, central-bank backstops), but they exist because the system requires a trusted record-keeper.
Cryptocurrency asks a different question: can a network of computers agree on who owns what without a trusted middleman, so that no single party can inflate, censor, or reverse a transaction on their own?
The global financial crisis of 2008 — bank failures, bailouts, and frozen credit — was the immediate backdrop to Bitcoin. The Bitcoin genesis block (January 2009) embedded a newspaper headline: "The Times 03/Jan/2009 Chancellor on brink of second bailout for banks." That embedded text is widely read as a statement of purpose: a money system that doesn't need the institutions that just failed.