DUBLIN, Ireland — Anger and fear about Europe’s seemingly unstoppable debt crisis coursed through the continent Wednesday. Striking workers shut down much of Portugal, Ireland proposed its deepest budget cuts in history and seething Italian and British students clashed with police over education cuts. Amid it all, analysts were deeply skeptical about the future — saying even the desperate efforts of governments, the European Union and the International Monetary might not be enough to prevent countries from defaulting or banks from going under.

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