<div dir="auto">Sorry, John.  It was a weak attempt to be humorous.<div dir="auto"><br></div><div dir="auto">Also, I mistyped.  I meant "algebraic geometry" when I was asking for a book recommendation.</div><div dir="auto"><br></div><div dir="auto">Frank<br><br><div data-smartmail="gmail_signature" dir="auto">-----------------------------------<br>Frank Wimberly<br><br>My memoir:<br><a href="https://www.amazon.com/author/frankwimberly">https://www.amazon.com/author/frankwimberly</a><br><br>My scientific publications:<br><a href="https://www.researchgate.net/profile/Frank_Wimberly2">https://www.researchgate.net/profile/Frank_Wimberly2</a><br><br>Phone (505) 670-9918</div></div></div><br><div class="gmail_quote"><div dir="ltr">On Sat, Oct 27, 2018, 12:56 PM Marcus Daniels <<a href="mailto:marcus@snoutfarm.com">marcus@snoutfarm.com</a>> wrote:<br></div><blockquote class="gmail_quote" style="margin:0 0 0 .8ex;border-left:1px #ccc solid;padding-left:1ex">





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<p><span style="font-size:12.0pt">John writes:<u></u><u></u></span></p>
<p><span style="font-size:12.0pt"><u></u> <u></u></span></p>
<p><span style="font-size:12.0pt">“<span style="color:black">Is there something that animals, or more particularly humans, can do which we can prove cannot be duplicated by a sequential machine?</span>”<u></u><u></u></span></p>
<p><u></u> <u></u></p>
<p>A sequential computer program could simply be a loop that sampled random numbers and indexed into the address space of the computer program itself (not its memory).   One could make a specialized computer using a FPGA that even had an instruction to do that
 random dispatching.   To counter the arguments of Penrose, one could do the same using quantum states.<u></u><u></u></p>
<p><u></u> <u></u></p>
<p><a href="https://www.springer.com/us/book/9781402078941" target="_blank" rel="noreferrer">https://www.springer.com/us/book/9781402078941</a><u></u><u></u></p>
<p><u></u> <u></u></p>
<p>There are all kinds of physical processes that are simulated on classical supercomputers, of course.<u></u><u></u></p>
<p><u></u> <u></u></p>
<p>Marcus<u></u><u></u></p>
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