5HC : Skinner, Turing, Laplace, and Thread Necromancy
Chris · 20 Mar 2005, 01:46
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From: rasputin_ at hotmail.com (Chris) Date: Sun Mar 20 01:46:39 2005 Subject: (urth) 5HC : Skinner, Turing, Laplace, and Thread Necromancy In-Reply-To: <423D2A1B.1030506 at gmail.com> Message-ID: <BAY102-F629A0ECB52397CE1842AF864C0 at phx.gbl> Maru said: >Have you ever heard of a replicating von Neumann machine? I mention them >because they at first sight >to suffer the same reflectivity problem as LaPlace's demon. No, you misunderstand the problem with the demon. The demon is not "practically impossible", it is logically impossible - any solution to it would require the breaking of the same logical laws that are required for you or I to think about the problem in the first place. >But if you do not like that explanation, consider a demon equivalent to an >angel: it can be any size it wants. >And since by default this universe is continuous, the demon can make as >many brains as he wants and fit each in >an infinitely small space. Now, since the demon has a visible head and >presumably brain for me to converse with >and receive predictions from, it follows that it posses infinite amount of >brain; I suspect an infinite brain could >contain and hold that 'infinite regress'. In fact, an infinite number of >infinite regresses. It can continue to make brains to its heart's content; those brains will all be present *within* the universe and thus require representation. The computational ability of the demon is theoretically infinite, but it is an infinity that is a sort of order of magnitude smaller than the infinity that would be required to calculate itself into the picture (along with the universe, of course). This will always be the case; any addition of "brains" increases the complexity of the universe accordingly. -- Civet "1 The world is all that is the case."
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