Hungarians remember the revolution 1956 and the bitter defeat that followed. The US, as usual, did certain things that disappointed the brave Hungarians. Prime Minister Imre Nagy turned out to be a brave and admired politician.
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The defeat of the Hungarian revolution was one of the darkest moments of the Cold War. At certain points since its outbreak on October 23 the revolt looked like it was on the verge of an amazing triumph. The entire nation appeared to have taken up arms against the regime. Rebels, often armed with nothing more than kitchen implements and gasoline, were disabling Soviet tanks and achieving other -- sometimes small but meaningful -- victories throughout the country. On October 31, the tide seemed to turn overwhelmingly in the revolution's favor when Pravda published a declaration promising greater equality in relations between the USSR and its East European satellites. One sentence was of particular interest. It read: "[T]he Soviet Government is prepared to enter into the appropriate negotiations with the government of the Hungarian People's Republic and other members of the Warsaw Treaty on the question of the presence of Soviet troops on the territory of Hungary." To outside observers, the Kremlin statement came as a total surprise. CIA Director Allen Dulles called it a "miracle." The crisis seemed on the verge of being resolved in a way no-one in Hungary or the West had dared to hope.
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Meanwhile, in Washington, U.S. officials observed the tidal wave of events with shock and no small degree of ambivalence as to how to respond. The main line of President Eisenhower's policy was to promote the independence of the so-called captive nations, but only over the longer-term. There is little doubt that he was deeply upset by the crushing of the revolt, and he was not deaf to public pressure or the emotional lobbying of activists within his own administration. But he had also determined, and internal studies backed him up, that there was little the United States could do short of risking global war to help the rebels. And he was not prepared to go that far, nor even, for that matter, to jeopardize the atmosphere of improving relations with Moscow that had characterized the previous period.
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Yet Washington's role in the Hungarian revolution soon became mired in controversy. One of the most successful weapons in the East-West battle for the hearts and minds of Eastern Europe was the CIA-administered Radio Free Europe. But in the wake of the uprising, RFE's broadcasts into Hungary sometimes took on a much more aggressive tone, encouraging the rebels to believe that Western support was imminent, and even giving tactical advice on how to fight the Soviets. The hopes that were raised, then dashed, by these broadcasts cast an even darker shadow over the Hungarian tragedy that leaves many Hungarians embittered to this day.
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http://www.gwu.edu/~nsarchiv/NSAEBB/NSAEBB76/
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http://www.channel4.com/news/special-reports/special-reports-storypage.jsp?id=3684