Re: Positive Infinity forever

[Mick Collins]

Oh, no, Bob, it is also certain that a genooine understanding of trig, 
calculus, counting numbers, engineering and computer science will require a 
foundational knowledge of infinity, for example, why 1+2+3+4+ ...  =   -1/12
;-)  
Hardy saw this in the notes of Ramanujan (“The Man Who Knew Infinity” book and 
movie) and was convinced from this and other things that he was not a quack, 
but a genius. This and other wacky equations are used in physics (theoretical 
abstract?)

Besides, "forever" is longer than a very long time.


 
Bob S wrote:
> The only thing that is certain about infinity is that it will remain a 
> theoretical abstract forever. ;-)


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Re: Positive Infinity forever

[Bob Sneidar]

The only thing that is certain about infinity is that it will remain a 
theoretical abstract forever. ;-)

Bob S


On May 23, 2016, at 01:35 , Ali Lloyd 
> wrote:

Having fairly recently done a PhD in set theory, I can confirm that the
independence of the continuum hypothesis has not been refuted!

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Re: positive infinity forever

[Mick Collins]

Thanks, Ali! And Congratulations!

Ali Lloyd wrote:
> 
> Having fairly recently done a PhD in set theory, I can confirm that the 
> independence of the continuum hypothesis has not been refuted!

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Re: Positive Infinity forever

[Ali Lloyd]

Having fairly recently done a PhD in set theory, I can confirm that the
independence of the continuum hypothesis has not been refuted!

On Mon, May 23, 2016 at 2:50 AM Mick Collins  wrote:

> (Try again, apologies for accidentally sending)
> ... typo
> When you said
> " 2^AJ=A(J+1)"
>
> I wonder if you meant
> "2^AJ   >=   A(J+1)"
>
> To many that may seem like nit-picking, but it is a NIT. However, if you
> MEANT what you wrote, then it is a YUGE NIT. It would mean that someone
> (Halmos?) found an extension of ZFC that trumps (sorry) Cohen's
> independence of CH. Is that the case?
>
>
> > On May 22, 2016, at 9:18 PM, Mick Collins  wrote:
> >
> > Doc Hawk,
> > I'm envious that you took a course from Halmos, but I question what is
> probably a typo.
> >
> > "Dr. Hawkins"  wrote:
> >
> > Well, which infinity?  aleph-naught (A0) is the count of the
> > integers/wholes/natural
> >
> > A1=2^A0, the count of the reals.
> >
> > For that mater 2^AJ=A(J+1)
> >
> > A1-A0=A1
> >
> > Aj^n=Aj
> >
> > A0 is also "countable"; A1 and higher are not.
> >
> >
> > Yes, I really took a course  on that, from the master himself (Halmos)
> >
> > -- Dr. Richard E. Hawkins, Esq.
> (702) 508-8462
>
>
> --
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Re: Positive Infinity forever

[Mick Collins]

(Try again, apologies for accidentally sending)
... typo
When you said
" 2^AJ=A(J+1)"

I wonder if you meant 
"2^AJ   >=   A(J+1)"

To many that may seem like nit-picking, but it is a NIT. However, if you MEANT 
what you wrote, then it is a YUGE NIT. It would mean that someone (Halmos?) 
found an extension of ZFC that trumps (sorry) Cohen's independence of CH. Is 
that the case?


> On May 22, 2016, at 9:18 PM, Mick Collins  wrote:
> 
> Doc Hawk,
> I'm envious that you took a course from Halmos, but I question what is 
> probably a typo.
> 
> "Dr. Hawkins"  wrote:
> 
> Well, which infinity?  aleph-naught (A0) is the count of the
> integers/wholes/natural
> 
> A1=2^A0, the count of the reals.
> 
> For that mater 2^AJ=A(J+1)
> 
> A1-A0=A1
> 
> Aj^n=Aj
> 
> A0 is also "countable"; A1 and higher are not.
> 
> 
> Yes, I really took a course  on that, from the master himself (Halmos)
> 
> -- Dr. Richard E. Hawkins, Esq.
(702) 508-8462


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Re: Positive Infinity forever

[Mick Collins]

Doc Hawk,
I'm envious that you took a course from Halmos, but I question what is probably 
a typo.

"Dr. Hawkins"  wrote:

Well, which infinity?  aleph-naught (A0) is the count of the
integers/wholes/natural

A1=2^A0, the count of the reals.

For that mater 2^AJ=A(J+1)

A1-A0=A1

Aj^n=Aj

A0 is also "countable"; A1 and higher are not.


Yes, I really took a course  on that, from the master himself (Halmos)

-- 
Dr. Richard E. Hawkins, Esq.
(702) 508-8462


--





--

Message: 8
Date: Fri, 13 May 2016 15:24:03 -0400

Sent from my iPhone

> On May 13, 2016, at 6:03 PM, use-livecode-requ...@lists.runrev.com wrote:
> 
> For that mater 2^AJ=A(J+


For that mater 2^AJ=A(J+1)
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Re: Positive Infinity forever

[Bob Sneidar]

Well then it's not infinite is it? So everything else falls flat after that. :-)

Bob S


On May 13, 2016, at 11:30 , Dr. Hawkins 
> wrote:

Let N be a finite positive number, may be real.

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Re: Positive Infinity forever

[dunbarx]

Leave it to Hermann to pledge 2^(2^7)


Craig



-Original Message-
From: [-hh] <h...@hh.on-rev.com>
To: use-revolution <use-revolut...@lists.runrev.com>
Sent: Fri, May 13, 2016 4:04 pm
Subject: Re: Positive Infinity forever

Richard H. wrote
> Well, which infinity?  aleph-naught (A0) is the count of the
> integers/wholes/natural A1=2^A0, the count of the reals. 

Craig N. wrote:
> can it handle infinity^infinity? Of course, you need unicode
to display the answer.

Richard, I mean A0, and yes
Craig, A0 and A1 are members of Unicode.

For the advanced computation rules Richard cited, Kevin has first
to introduce the "LiveCode continuum hypothesis". Perhaps right
after the pledge is done?

For the moment it is good enough that the integer 8 is followed
by aleph zero (A0). Let him a possibility for stepping up, I am
willing to accept the LC continuum hypothesis, that is to back
one more pledge. But NOT 2^myLastPledge (which would be
$340282366920938463463374607431768211456).

===
Richard H.
> Yes, I really took a course  on that, from the master
> himself (Halmos)
He was one of the greatest. Hope his lectures were as excellent
as his books (but I read only three of these).



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Re: Positive Infinity forever

[[-hh]]

Richard H. wrote
> Well, which infinity?  aleph-naught (A0) is the count of the
> integers/wholes/natural A1=2^A0, the count of the reals. 

Craig N. wrote:
> can it handle infinity^infinity? Of course, you need unicode
to display the answer.

Richard, I mean A0, and yes
Craig, A0 and A1 are members of Unicode.

For the advanced computation rules Richard cited, Kevin has first
to introduce the "LiveCode continuum hypothesis". Perhaps right
after the pledge is done?

For the moment it is good enough that the integer 8 is followed
by aleph zero (A0). Let him a possibility for stepping up, I am
willing to accept the LC continuum hypothesis, that is to back
one more pledge. But NOT 2^myLastPledge (which would be
$340282366920938463463374607431768211456).

===
Richard H.
> Yes, I really took a course  on that, from the master
> himself (Halmos)
He was one of the greatest. Hope his lectures were as excellent
as his books (but I read only three of these).



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Re: Positive Infinity forever

[Dr. Hawkins]

On Fri, May 13, 2016 at 10:18 AM, [-hh]  wrote:

The following is correct math.
>

Always a *dangerous thing to say.*


>
> Let N be a finite positive number, may be real.
>
> • Infinity > N
> • Infinity = Infinity + N
> • Infinity = Infinity - N
> • Infinity = N * Infinity
>
> But all of you, who play with that divine number:
>
> • Infinity - Infinity
> is NOT consistently definable.
>
>

Well, which infinity?  aleph-naught (A0) is the count of the
integers/wholes/natural

A1=2^A0, the count of the reals.

For that mater 2^AJ=A(J+1)

A1-A0=A1

Aj^n=Aj

A0 is also "countable"; A1 and higher are not.


Yes, I really took a course  on that, from the master himself (Halmos)

-- 
Dr. Richard E. Hawkins, Esq.
(702) 508-8462
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Re: Positive Infinity forever

[dunbarx]

Hermann.


Can it handle infinty^infinity? Of course, you need unicode to display the 
answer.


Craig



-Original Message-
From: [-hh] <h...@hh.on-rev.com>
To: use-revolution <use-revolut...@lists.runrev.com>
Sent: Fri, May 13, 2016 1:55 pm
Subject: Positive Infinity forever

The following is correct math.Let N be a finite positive number, may be real.• 
Infinity > N• Infinity = Infinity + N• Infinity = Infinity - N• Infinity = N * 
InfinityBut all of you, who play with that divine number:• Infinity - 
Infinityis NOT consistently definable.Trying that causes an immediate crash of 
thewhole system. So pledge please ;-)--View this message in context: 
http://runtime-revolution.278305.n4.nabble.com/Positive-Infinity-forever-tp4704632.htmlSent
 from the Revolution - User mailing list archive at 
Nabble.com.___use-livecode mailing 
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Positive Infinity forever

[[-hh]]

The following is correct math.

Let N be a finite positive number, may be real.

• Infinity > N
• Infinity = Infinity + N
• Infinity = Infinity - N
• Infinity = N * Infinity

But all of you, who play with that divine number:

• Infinity - Infinity
is NOT consistently definable.

Trying that causes an immediate crash of the
whole system. So pledge please ;-)



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