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Computers are Not Omnipotent

In 1984, TIME magazine quoted the chief editor of a certain software publication as saying: "Put the right kind of software into a computer, and it will do whatever you want it to. There may be limits on what you can do with the machines themselves, but there are no limits on what you can do with software." This talk will survey results obtained over the last 80 years by mathematicians, logicians and computer scientists, which disprove this ignorance-based statement in a sweeping and fundamental way. We shall discuss problems that are provably non-computable, as well as ...
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