Programmers normally want to minimize the time their code takes to execute. But in 1962, the Hungarian mathematician Tibor Radó posed the opposite problem. He asked: How long can a simple computer ...
The original version of this story appeared in Quanta Magazine. The world of mathematics is full of unreachable corners, where unsolvable problems live. Now, yet another has been exposed. In 1900, the ...
Quanta Magazine Articles on Turing machines In math and computer science, researchers have long understood that some questions are fundamentally unanswerable. Now physicists are exploring how even ...
When he invented Turing machines in 1936, Alan Turing also invented modern computing. In 1928, the German mathematicians David Hilbert and Wilhelm Ackermann proposed a question called the ...
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