Re: Garry Denke's Gold & Brass Plates @ Westbury White Horse Eye

From: Garry Denke (garrydenke_at_usa.com)
Date: 07/06/04 

Date: 6 Jul 2004 02:52:17 -0700

The Ghost In The Machine <ewill@aurigae.athghost7038suus.net> wrote in message news:<m1cor1-ffp.ln1@lexi2.athghost7038suus.net>...
> In sci.logic, Garry Denke
> <garrydenke@usa.com>
> wrote
> on 5 Jul 2004 03:11:28 -0700
> <96f81cbe.0407050211.287338a6@posting.google.com>:
> > Hello to The Ghost In The Machine,
> >
> > If the number d equals the number 0 , and the number + equals the
> > number 0 , then the number - equals the number 0 , under your logic,
> > and still, d / d makes no sense, and 0 / 0 makes no sense. So what we
> > need is a consistent set of rules for the three numbers...
>
> 0/0 never did make sense. Neither does d = + or -d = -.

Therein the reason we need the number 0 rule, and the number - rule,
and the number + rule. A consistent rule that makes sense, for the
number 0 , the number - , and the number + . Since the number 0 is a
number, and therefore existing, yet defined as nothing, which also
exists (or "nothing" would be written " "), and since the number
0 dwells at the center of the Straight line:

...,-9,-8,-7,-6,-5,-4,-3,-2,-1,-,0,+,+1,+2,+3,+4,+5,+6,+7,+8,+9,...

with or without the number - and the number + :

...,-9,-8,-7,-6,-5,-4,-3,-2,-1,0,+1,+2,+3,+4,+5,+6,+7,+8,+9,...

shorthand:

...,-9,-8,-7,-6,-5,-4,-3,-2,-1,0,1,2,3,4,5,6,7,8,9,...

then pleasing number-theoreticians, atheists and theists alike, making
them happy... we'll set God to the number 0 for my own convenience,
and we'll set the difference 0.999... - 1.000... = -d , and we'll set
the difference 1.000... - 0.999... = +d , your shorthand d for your
own convenience):

1) 0 + 0 = 0
2) 0 - 0 = 0
3) 0 * 0 = 0
4) 0 / 0 = 0

written:

1) God + God = God
2) God - God = God
3) God * God = God
4) God / God = God

The 4th is the fireworks of course:

4a) 0 / 0 = 0
4b) 0 / 0 = 1
4c) 0 / 0 = (the Straight line above)

written:

4a) God / God = God
4b) God / God = One
4c) God / God = (the Straight line above)

however to solve this requires:

the number - equals -d
the number 0 equals d
the number + equals +d

shorthand:

-d, d, solving nothing.

Written:

" "

> > 1) the number +
> > 2) the number 0
> > 3) the number -
> >
> > to solve d / d , + / + , 0 / 0 , - / - , because - / - equals the
> > number - if + / + equals the number - , currently defined by the 'rule
> > of signs' the other way, for no particular reason.
> >
> > d / d = ? (undefined)
> > + / + = ? (undefined)
> > 0 / 0 = ? (undefined)
> > - / - = ? (undefined)
> >
> > Any ideas?
>
> Yes. Equate d = 0 and be done with it. This also means, of course,
> that 0.999... = 1 - d = 1 = 1.000... , which makes most
> number-theoreticians happy. :-)

Pretend the 4th fireworks don't exist?

4a) 0 / 0 = 0
4b) 0 / 0 = 1
4c) 0 / 0 = (the Straight line above)

Is The Ghost In The Machine serious?

" "

> > Best wishes,
> > Garry Denke
> >
> > The Ghost In The Machine <ewill@aurigae.athghost7038suus.net> wrote in message news:<8tdkr1-ecm.ln1@lexi2.athghost7038suus.net>...
> >> In sci.logic, Garry Denke
> >> <garrydenke@usa.com>
> >> wrote
> >> on 3 Jul 2004 15:53:49 -0700
> >> <96f81cbe.0407031453.449bdb4d@posting.google.com>:
> >> >> So what's the precise definition of '+' and '-'?
> >> >
> >> > It's written here (but in English) exactly like this:
> >> >
> >> > ...,+9,+8,+7,+6,+5,+4,+3,+2,+1,+,0,-,-1,-2,-3,-4,-5,-6,-7,-8,-9,...
> >> >
> >> > The number + is 1.000... minus 0.999... pronounced "positive".
> >> > The number - is 0.999... minus 1.000... pronounced "negative".
> >> >
> >> > Multiply and divide for proof.
> >> >
> >> >> Well, here's a multiplication and division for you, then.
> >> >> A pair of each, in fact.
> >> >> Take the number +. This number is 1.000... - 0.999... . The
> >> >> numbers (+ - 0.9) * 10 and (+ + 9) / 10, where are they in
> >> >> relation to +, 0, and 1?
> >> >
> >> > (+0.9) * 10 = +9 , and, (+9) / 10 = +.9 ,
> >> > so, ...,+9,+1,+.9,+,0,... on the line.
> >>
> >> I think you're getting tripped up in your system.
> >> Then again, I did goof here -- I was thinking that +
> >> was the number between 0.999... and 1.000..., not the
> >> smallest positive number or the quantity 1.000... -
> >> 0.999... ; my apologies for any confusion. Of course,
> >> that doesn't mean you're going to get very far.
> >>
> >> We'll set the difference 1.000... - 0.999... = d, for
> >> my own convenience. Now d is an interesting number.
> >> For starters, if one computes the value:
> >>
> >> (1.000... - 0.9) * 10 - (0.999... - 0.9) * 10,
> >>
> >> what does one get, assuming normal arithmetic laws apply?
> >>
> >> One way, one gets:
> >>
> >> (0.1000...) * 10 - (0.0999...) * 10
> >> or
> >> (1.000...) - (0.999...) = d.
> >>
> >> Another way, one gets
> >>
> >> (1.000... - 0.999...) * 10 + (-0.9 - (-0.9)) * 10
> >> = d * 10 + 0 * 10 = d * 10.
> >>
> >> So d = d * 10, or 9 * d = 0.
> >>
> >> Another computation which is equally simple:
> >>
> >> (1.000... + 9) / 10 - (0.999... + 9) / 10
> >>
> >> yields the result d = d / 10 using similar methods.
> >> (The details are left as an exercise.)
> >>
> >> At this point most people would simply equate d = 0 and
> >> be done with it.
> >>
> >> Now, you can try a few tricks. For example, one might
> >> posit that 0.1000... * 10 = 1.000...0 and
> >> 0.0999... * 10 = 0.999...0, and try to get out of
> >> it that way. Unfortunately, that doesn't work
> >> for the second computation's divisions:
> >> 10.000... / 10 = 1.000... and 9.999... / 10 = 0.999... .
> >>
> >> One can try rounding, resulting in 9.999... / 10 = 1.000...,
> >> since the last digit of the division is >= 5, but that simply
> >> leads to d = 0 in the second computation, instead of d = d / 10.
> >>
> >> Either way, d makes no sense.
>
> [rest re-snipped]
>
> Stop that. :-P
>
> --
> #191, ewill3@earthlink.net
> It's still legal to go .sigless.

" "

Best wishes,
Garry Denke

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