```Date: Apr 6, 2013 3:56 AM
Author: namducnguyen
Subject: Re: Matheology § 224

On 06/04/2013 1:29 AM, Virgil wrote:> In article <A2P7t.14440\$yV1.13813@newsfe29.iad>,>   Nam Nguyen <namducnguyen@shaw.ca> wrote:>>> On 06/04/2013 12:08 AM, Virgil wrote:>>> In article <bWN7t.281592\$O52.191417@newsfe10.iad>,>>>    Nam Nguyen <namducnguyen@shaw.ca> wrote:>>>>>>> On 05/04/2013 10:31 PM, Virgil wrote:>>>>> In article <VFM7t.356449\$PC7.98356@newsfe03.iad>,>>>>>     Nam Nguyen <namducnguyen@shaw.ca> wrote:>>>>>>>>>>> Then you don't seem to understand the nature of cGC, depending on the>>>>>> formulation of the Conjecture but being a _different_ formula.>>>>>>>>>>>> For GC (the Goldbach conjecture), there naturally are 2 cases:>>>>>>>>>> What if the GC is eventually proved true in all systems?>>>>>>>> What do you mean by "all" systems?>>>>>> At least all systems in which a set of positive naturals with the usual>>> forms of addition and multiplication are possible.>>>> What do you mean by "positive naturals", "usual forms", "possible"?>> That's way too "intuitive" to conclude anything definitely, right?>> The naturals nowadays can either include zero or not, and zero is not a> positive natural.So do the naturals include zero, or not? We seem to have a choice?>> Are you really not familiar with the usual forms of addition and> multiplication as they are understood for natural numbers?Right. Except we seem to have a choice too that cGC is true, or not.So what are _your_ natural numbers? Zero is included? Zero isn'tincluded? cGC is true? ~cGC is true?In fact there will be infinitely many choices!So _many choices_ for "the natural numbers"!Which one would _you_ _choose_ as the desired non-logical concept?-- ----------------------------------------------------There is no remainder in the mathematics of infinity.                                       NYOGEN SENZAKI----------------------------------------------------
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