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" ... Happily, Epstein offers an encouraging counterexample, a more hopeful way the future could evolve, arising from a form of chess called freestyle, which features human-computer teams. After first demonstrating how computers can now beat even the very best grandmasters, and showing that the key skill of grandmasters – pattern recognition – can be assumed by computer, Epstein reveals that human-computer teams can do much better than either computer or grandmasters, even if the human is not especially adept at chess. He writes, ... "
" ... Instead, there's another step that's much more controversial: the extended Church-Turing thesis. It states that a Turing machine (like a classical computer) can always efficiently simulate any computational model, even to simulate an inherently quantum computation. If you could provide a counterexample to this — if you could demonstrate even one example where quantum computers were vastly more efficient than a classical computer — that would mean that Quantum Supremacy has been demonstrated. ... "
" ... To illustrate this, here’s a counterexample from my recent experience: A global manufacturer wanted only certain services to be able to directly access the internet through the SD-WAN. At this company specifically, it primarily wanted to drive Office 365 out. This isn’t a unique use case. ... "
" ... When many physicists first hear Einstein’s quip about how “God doesn’t play dice with the Universe,” this is the first experiment they should think of as a counterexample. No matter how well you think you understand reality — no matter how precisely or accurately you measure it in a variety of ways — the act of making any new measurement will intrinsically randomize some of the information you had pinned down just prior to your measurement. Making that new measurement really does destroy old information, and all you need is a magnet and some particles to prove that this is true. ... "
" ... While Kiessling's position may be emotionally satisfying for those who view heroin users as the helpless victims of heroin dealers, it is not very logical. To see why, consider a counterexample: If you sell alcohol to someone and he dies, whether from acute poisoning, injuries sustained in a car crash, or decades of excessive consumption, is that murder? Clearly not, both because you did not intend that result and because it would not have happened but for your customer's recklessness. ... "