On 12 Jul 2009, at 17:28, John Mikes wrote:
> Dear Bruno,
> when I looked at the set-analysis it immediately popped up that
> {1,3} was missing, -
Good!
> YET - this fantastic<G> discovery of mine did not bring me closer to
> the idea "what are numbers".
And, assuming comp, you never will. None of us will. Sets can provide
a nice representation of the numbers, which I have already given some
times ago, but for now, I prefer to take the numbers as basic
entities. Sets are more complex entities than numbers, in general.
What are the numbers? I can give you only some hints, like zero is the
number of matches in a empty box, one is the number of matches in a
box having one match in, and so on ...
About the "and so on ... " I can only hope you have been enough
trained in high school to have an idea.
I cannot explain really what are numbers, but, if you assume the comp
theory, I can explain "completely", from it, why numbers develop
beliefs in galaxies, get conscious, makes a big variety of dreams, and
eventually realize why they will never knows what numbers are, and
what they are capable of.
Number are the necessary mystery, from which we start. What I like in
comp, is that it explains why the numbers have to be a mystery.
Bruno
> It seems I can win the battle and still lose the war.
> John
>
> On Wed, Jul 8, 2009 at 9:05 PM, m.a. <marty...@bellsouth.net> wrote:
> Here's my third try. I'll continue working on the (power x)
> problem. m.a.
> ----- Original Message -----
> From: Bruno Marchal
> To: everything-list@googlegroups.com
> Sent: Wednesday, July 08, 2009 1:31 PM
> Subject: Re: The seven step series
>
>
> On 08 Jul 2009, at 15:43, m.a. wrote:
>
>> Second try:
>>> (power {1, 2, 3}) = ? {{ }, {1}, {2}, {3}, {1,2}, {2,3}, {1,2,3}}
>>>
>
> Third try:
> = {{ }, {1}, {2}, {3},
> {1,2}, {2,3}, {1,2,3}, {{ },1,2,3}}
>
> This is far better! Not yet correct though.
>
> I gave you the hint that there are 8 elements. Let us count:
>
> The empty set { } ..................................1
> Three singletons {1}, {2}, {3}................3
> Two doubletons {1,2 }, {2,3 }................2
> The biggest subset {1,2,3}..................1
>
> 1 + 3 + 2 + 1 = 7
>
> A subset is missing! Can you see which one?
>
>
>>
>> >>
http://iridia.ulb.ac.be/~marchal/
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