Word: problem
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Dates: during 1990-1999
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...into double digits in the 1970s, budget deficits ballooned in the '80s, and now a Democratic President congratulates himself for a budget surplus that he wants to use to pay down the debt. But some 60 years ago, when 1 out of 4 adults couldn't find work, the problem was lack of demand...
...known to be the full-fledged galaxy closest to our own in a universe that contains tens of billions of galaxies. "I do not know," Shapley wrote Hubble in a letter quoted by biographer Christianson, "whether I am sorry or glad to see this break in the nebular problem. Perhaps both." (Hubble was not entirely magnanimous in victory. To the end he insisted on using the term nebulae instead of Shapley's preferred galaxies...
Hubble's scientific reputation was made almost overnight by his discovery that the universe is vast and the Milky Way insignificant. But he had already moved on to a new problem. For years, astronomers had noted that light from the nebulae was redder than it should be. The most likely cause of this so-called red shifting was motion away from the observer. (The same sort of thing happens with sound: a police car's siren seems to drop in pitch abruptly as the car races past a listener...
...would like to watch philosophers squirm--and who wouldn't?--pose this tough question: Suppose you may either a) solve a major philosophical problem so conclusively that there is nothing left to say (thanks to you, part of the field closes down forever, and you get a footnote in history); or b) write a book of such tantalizing perplexity and controversy that it stays on the required-reading list for centuries to come. Which would you choose? Many philosophers will reluctantly admit that they would go for option b). If they had to choose, they would rather be read than...
Happily, in those days before tape recorders, some of Wittgenstein's disciples took verbatim notes, so we can catch a rare glimpse of two great minds addressing a central problem from opposite points of view: the problem of contradiction in a formal system. For Turing, the problem is a practical one: if you design a bridge using a system that contains a contradiction, "the bridge may fall down." For Wittgenstein, the problem was about the social context in which human beings can be said to "follow the rules" of a mathematical system. What Turing saw, and Wittgenstein...