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tech / sci.math / Re: The equality difference

SubjectAuthor
* The equality differencemitchr...@gmail.com
+* Re: The equality differenceMichael Moroney
|`* Re: The equality differencemitchr...@gmail.com
| `* Re: The equality differenceMichael Moroney
|  `* Re: The equality differencemitchr...@gmail.com
|   `* Re: The equality differenceMichael Moroney
|    `* Re: The equality differencemitchr...@gmail.com
|     `- Re: The equality differenceMichael Moroney
`* Re: The equality differencezelos...@gmail.com
 `* Re: The equality differencemitchr...@gmail.com
  `* Re: The equality differencezelos...@gmail.com
   `* Re: The equality differencemitchr...@gmail.com
    `- Re: The equality differencezelos...@gmail.com

1
The equality difference

<815b360e-2b00-492b-b2a5-f1c27f9de7f7n@googlegroups.com>

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Subject: The equality difference
From: mitchrae...@gmail.com (mitchr...@gmail.com)
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 by: mitchr...@gmail.com - Sun, 31 Jul 2022 01:47 UTC

The equality as we all know it is no quantity or zero difference.
But as Calculus states it's infinitesimal behaves like zero.
There is another equality difference by the infinitely small nonzero.
In algebra a balance scale that has an infinitely small difference does not tilt.

Re: The equality difference

<tc4p3i$1upu$1@gioia.aioe.org>

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From: moro...@world.std.spaamtrap.com (Michael Moroney)
Newsgroups: sci.math
Subject: Re: The equality difference
Date: Sat, 30 Jul 2022 22:23:49 -0400
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 by: Michael Moroney - Sun, 31 Jul 2022 02:23 UTC

On 7/30/2022 9:47 PM, mitchr...@gmail.com wrote:

> There is another equality difference by the infinitely small nonzero.

No, Roy. If the difference between A and B is zero, then A and B are
equal. If the difference between A and B is nonzero, then A and B are
not equal. By definition. Period.

> In algebra a balance scale that has an infinitely small difference does not tilt.

Nobody cares that in real life, nobody can manufacture an absolutely
perfect balance scale. A perfect one, if it existed, would tilt, of course.

Re: The equality difference

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Subject: Re: The equality difference
From: mitchrae...@gmail.com (mitchr...@gmail.com)
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 by: mitchr...@gmail.com - Sun, 31 Jul 2022 02:33 UTC

On Saturday, July 30, 2022 at 7:23:56 PM UTC-7, Michael Moroney wrote:
> On 7/30/2022 9:47 PM, mitchr...@gmail.com wrote:
>
> > There is another equality difference by the infinitely small nonzero.
> No, Roy. If the difference between A and B is zero, then A and B are
> equal. If the difference between A and B is nonzero, then A and B are
> not equal. By definition. Period.
> > In algebra a balance scale that has an infinitely small difference does not tilt.
> Nobody cares that in real life, nobody can manufacture an absolutely
> perfect balance scale. A perfect one, if it existed, would tilt, of course.

There is another kind of equality that is a smallest nonzero difference.
That difference won't tilt a balance.
Zero math is a win. The infinitesimal comes after it...

Re: The equality difference

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From: moro...@world.std.spaamtrap.com (Michael Moroney)
Newsgroups: sci.math
Subject: Re: The equality difference
Date: Sun, 31 Jul 2022 12:12:34 -0400
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 by: Michael Moroney - Sun, 31 Jul 2022 16:12 UTC

On 7/30/2022 10:33 PM, mitchr...@gmail.com wrote:
> On Saturday, July 30, 2022 at 7:23:56 PM UTC-7, Michael Moroney wrote:
>> On 7/30/2022 9:47 PM, mitchr...@gmail.com wrote:
>>
>>> There is another equality difference by the infinitely small nonzero.
>> No, Roy. If the difference between A and B is zero, then A and B are
>> equal. If the difference between A and B is nonzero, then A and B are
>> not equal. By definition. Period.
>>> In algebra a balance scale that has an infinitely small difference does not tilt.
>> Nobody cares that in real life, nobody can manufacture an absolutely
>> perfect balance scale. A perfect one, if it existed, would tilt, of course.
>
> There is another kind of equality that is a smallest nonzero difference.

No, Roy. Two numbers are either equal or they are not equal. There are
no other options. If their difference is exactly 0, they are equal.
Otherwise they are not equal.

> That difference won't tilt a balance.

Again, the nonexistence of perfect balances is irrelevant.

> Zero math is a win. The infinitesimal comes after it...

And I came up with a new number, your "infinitesimal" divided by 2.

Re: The equality difference

<d3f58dd6-9a47-477d-a872-22b4acda5f9fn@googlegroups.com>

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Subject: Re: The equality difference
From: mitchrae...@gmail.com (mitchr...@gmail.com)
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 by: mitchr...@gmail.com - Sun, 31 Jul 2022 18:10 UTC

On Sunday, July 31, 2022 at 9:12:51 AM UTC-7, Michael Moroney wrote:
> On 7/30/2022 10:33 PM, mitchr...@gmail.com wrote:
> > On Saturday, July 30, 2022 at 7:23:56 PM UTC-7, Michael Moroney wrote:
> >> On 7/30/2022 9:47 PM, mitchr...@gmail.com wrote:
> >>
> >>> There is another equality difference by the infinitely small nonzero.
> >> No, Roy. If the difference between A and B is zero, then A and B are
> >> equal. If the difference between A and B is nonzero, then A and B are
> >> not equal. By definition. Period.
> >>> In algebra a balance scale that has an infinitely small difference does not tilt.
> >> Nobody cares that in real life, nobody can manufacture an absolutely
> >> perfect balance scale. A perfect one, if it existed, would tilt, of course.
> >
> > There is another kind of equality that is a smallest nonzero difference.
> No, Roy. Two numbers are either equal or they are not equal. There are
> no other options. If their difference is exactly 0, they are equal.

There is another option. Equality but with an infinitely small difference.

> Otherwise they are not equal.
> > That difference won't tilt a balance.
> Again, the nonexistence of perfect balances is irrelevant.
> > Zero math is a win. The infinitesimal comes after it...
> And I came up with a new number, your "infinitesimal" divided by 2.

..999 repeating and 1 are not the same quantity
plotted on a number line.

Mitchell Raemsch.

Re: The equality difference

<tc6vbm$12sg$1@gioia.aioe.org>

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From: moro...@world.std.spaamtrap.com (Michael Moroney)
Newsgroups: sci.math
Subject: Re: The equality difference
Date: Sun, 31 Jul 2022 18:22:45 -0400
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 by: Michael Moroney - Sun, 31 Jul 2022 22:22 UTC

On 7/31/2022 2:10 PM, mitchr...@gmail.com wrote:
> On Sunday, July 31, 2022 at 9:12:51 AM UTC-7, Michael Moroney wrote:
>> On 7/30/2022 10:33 PM, mitchr...@gmail.com wrote:
>>> On Saturday, July 30, 2022 at 7:23:56 PM UTC-7, Michael Moroney wrote:
>>>> On 7/30/2022 9:47 PM, mitchr...@gmail.com wrote:
>>>>
>>>>> There is another equality difference by the infinitely small nonzero.
>>>> No, Roy. If the difference between A and B is zero, then A and B are
>>>> equal. If the difference between A and B is nonzero, then A and B are
>>>> not equal. By definition. Period.
>>>>> In algebra a balance scale that has an infinitely small difference does not tilt.
>>>> Nobody cares that in real life, nobody can manufacture an absolutely
>>>> perfect balance scale. A perfect one, if it existed, would tilt, of course.
>>>
>>> There is another kind of equality that is a smallest nonzero difference.
>> No, Roy. Two numbers are either equal or they are not equal. There are
>> no other options. If their difference is exactly 0, they are equal.
>
> There is another option. Equality but with an infinitely small difference.
>
>> Otherwise they are not equal.
>>> That difference won't tilt a balance.
>> Again, the nonexistence of perfect balances is irrelevant.
>>> Zero math is a win. The infinitesimal comes after it...
>> And I came up with a new number, your "infinitesimal" divided by 2.
>
> .999 repeating and 1 are not the same quantity
> plotted on a number line.
>
No, Roy, they are the same point on the number line, because they are
the same value.

Re: The equality difference

<2f83613e-c84f-4c79-8476-ec4e132a7707n@googlegroups.com>

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Subject: Re: The equality difference
From: mitchrae...@gmail.com (mitchr...@gmail.com)
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 by: mitchr...@gmail.com - Mon, 1 Aug 2022 00:25 UTC

On Sunday, July 31, 2022 at 3:22:55 PM UTC-7, Michael Moroney wrote:
> On 7/31/2022 2:10 PM, mitchr...@gmail.com wrote:
> > On Sunday, July 31, 2022 at 9:12:51 AM UTC-7, Michael Moroney wrote:
> >> On 7/30/2022 10:33 PM, mitchr...@gmail.com wrote:
> >>> On Saturday, July 30, 2022 at 7:23:56 PM UTC-7, Michael Moroney wrote:
> >>>> On 7/30/2022 9:47 PM, mitchr...@gmail.com wrote:
> >>>>
> >>>>> There is another equality difference by the infinitely small nonzero.
> >>>> No, Roy. If the difference between A and B is zero, then A and B are
> >>>> equal. If the difference between A and B is nonzero, then A and B are
> >>>> not equal. By definition. Period.
> >>>>> In algebra a balance scale that has an infinitely small difference does not tilt.
> >>>> Nobody cares that in real life, nobody can manufacture an absolutely
> >>>> perfect balance scale. A perfect one, if it existed, would tilt, of course.
> >>>
> >>> There is another kind of equality that is a smallest nonzero difference.
> >> No, Roy. Two numbers are either equal or they are not equal. There are
> >> no other options. If their difference is exactly 0, they are equal.
> >
> > There is another option. Equality but with an infinitely small difference.
> >
> >> Otherwise they are not equal.
> >>> That difference won't tilt a balance.
> >> Again, the nonexistence of perfect balances is irrelevant.
> >>> Zero math is a win. The infinitesimal comes after it...
> >> And I came up with a new number, your "infinitesimal" divided by 2.
> >
> > .999 repeating and 1 are not the same quantity
> > plotted on a number line.
> >
> No, Roy, they are the same point on the number line, because they are

No. Because they are not the same value. They are different by
the infinitely small. Can you show how to plot them as the same point?

Mitchell Raemsch

Re: The equality difference

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From: moro...@world.std.spaamtrap.com (Michael Moroney)
Newsgroups: sci.math
Subject: Re: The equality difference
Date: Sun, 31 Jul 2022 22:46:16 -0400
Organization: Aioe.org NNTP Server
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 by: Michael Moroney - Mon, 1 Aug 2022 02:46 UTC

On 7/31/2022 8:25 PM, mitchr...@gmail.com wrote:
> On Sunday, July 31, 2022 at 3:22:55 PM UTC-7, Michael Moroney wrote:
>> On 7/31/2022 2:10 PM, mitchr...@gmail.com wrote:
>>> On Sunday, July 31, 2022 at 9:12:51 AM UTC-7, Michael Moroney wrote:
>>>> On 7/30/2022 10:33 PM, mitchr...@gmail.com wrote:
>>>>> On Saturday, July 30, 2022 at 7:23:56 PM UTC-7, Michael Moroney wrote:
>>>>>> On 7/30/2022 9:47 PM, mitchr...@gmail.com wrote:
>>>>>>
>>>>>>> There is another equality difference by the infinitely small nonzero.
>>>>>> No, Roy. If the difference between A and B is zero, then A and B are
>>>>>> equal. If the difference between A and B is nonzero, then A and B are
>>>>>> not equal. By definition. Period.
>>>>>>> In algebra a balance scale that has an infinitely small difference does not tilt.
>>>>>> Nobody cares that in real life, nobody can manufacture an absolutely
>>>>>> perfect balance scale. A perfect one, if it existed, would tilt, of course.
>>>>>
>>>>> There is another kind of equality that is a smallest nonzero difference.
>>>> No, Roy. Two numbers are either equal or they are not equal. There are
>>>> no other options. If their difference is exactly 0, they are equal.
>>>
>>> There is another option. Equality but with an infinitely small difference.
>>>
>>>> Otherwise they are not equal.
>>>>> That difference won't tilt a balance.
>>>> Again, the nonexistence of perfect balances is irrelevant.
>>>>> Zero math is a win. The infinitesimal comes after it...
>>>> And I came up with a new number, your "infinitesimal" divided by 2.
>>>
>>> .999 repeating and 1 are not the same quantity
>>> plotted on a number line.
>>>
>> No, Roy, they are the same point on the number line, because they are
>
> No. Because they are not the same value.

Roy, they are the same value and you have been directed to the math
proof of that.

> They are different by
> the infinitely small.

They are different by 0, so they are exactly the same value.

> Can you show how to plot them as the same point?

Since they have the same value, obviously they plot to the same point.

Re: The equality difference

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 by: zelos...@gmail.com - Mon, 1 Aug 2022 05:22 UTC

söndag 31 juli 2022 kl. 03:47:19 UTC+2 skrev mitchr...@gmail.com:
> The equality as we all know it is no quantity or zero difference.
> But as Calculus states it's infinitesimal behaves like zero.

Nope, calculus uses no fucking infinitesimals.

> There is another equality difference by the infinitely small nonzero.
> In algebra a balance scale that has an infinitely small difference does not tilt.

Re: The equality difference

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 by: mitchr...@gmail.com - Mon, 1 Aug 2022 06:54 UTC

On Sunday, July 31, 2022 at 10:22:19 PM UTC-7, zelos...@gmail.com wrote:
> söndag 31 juli 2022 kl. 03:47:19 UTC+2 skrev mitchr...@gmail.com:
> > The equality as we all know it is no quantity or zero difference.
> > But as Calculus states it's infinitesimal behaves like zero.
> Nope, calculus uses no fucking infinitesimals.

Then you don't know Calculus.

> > There is another equality difference by the infinitely small nonzero.
> > In algebra a balance scale that has an infinitely small difference does not tilt.

Re: The equality difference

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 by: zelos...@gmail.com - Mon, 1 Aug 2022 12:37 UTC

måndag 1 augusti 2022 kl. 08:54:39 UTC+2 skrev mitchr...@gmail.com:
> On Sunday, July 31, 2022 at 10:22:19 PM UTC-7, zelos...@gmail.com wrote:
> > söndag 31 juli 2022 kl. 03:47:19 UTC+2 skrev mitchr...@gmail.com:
> > > The equality as we all know it is no quantity or zero difference.
> > > But as Calculus states it's infinitesimal behaves like zero.
> > Nope, calculus uses no fucking infinitesimals.
> Then you don't know Calculus.
> > > There is another equality difference by the infinitely small nonzero.
> > > In algebra a balance scale that has an infinitely small difference does not tilt.
I know calculus, and all of mathematics, far better than you.

Calculus does not use infinitesimal because it is not needed.

Re: The equality difference

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 by: mitchr...@gmail.com - Mon, 1 Aug 2022 18:20 UTC

On Monday, August 1, 2022 at 5:37:29 AM UTC-7, zelos...@gmail.com wrote:
> måndag 1 augusti 2022 kl. 08:54:39 UTC+2 skrev mitchr...@gmail.com:
> > On Sunday, July 31, 2022 at 10:22:19 PM UTC-7, zelos...@gmail.com wrote:
> > > söndag 31 juli 2022 kl. 03:47:19 UTC+2 skrev mitchr...@gmail.com:
> > > > The equality as we all know it is no quantity or zero difference.
> > > > But as Calculus states it's infinitesimal behaves like zero.
> > > Nope, calculus uses no fucking infinitesimals.
> > Then you don't know Calculus.
> > > > There is another equality difference by the infinitely small nonzero.
> > > > In algebra a balance scale that has an infinitely small difference does not tilt.
> I know calculus, and all of mathematics, far better than you.
>
> Calculus does not use infinitesimal because it is not needed.

Infinitesimals came about because of the Calculus...
you are lying to try and say they did not.

Re: The equality difference

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Subject: Re: The equality difference
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 by: zelos...@gmail.com - Tue, 2 Aug 2022 06:00 UTC

måndag 1 augusti 2022 kl. 20:20:29 UTC+2 skrev mitchr...@gmail.com:
> On Monday, August 1, 2022 at 5:37:29 AM UTC-7, zelos...@gmail.com wrote:
> > måndag 1 augusti 2022 kl. 08:54:39 UTC+2 skrev mitchr...@gmail.com:
> > > On Sunday, July 31, 2022 at 10:22:19 PM UTC-7, zelos...@gmail.com wrote:
> > > > söndag 31 juli 2022 kl. 03:47:19 UTC+2 skrev mitchr...@gmail.com:
> > > > > The equality as we all know it is no quantity or zero difference.
> > > > > But as Calculus states it's infinitesimal behaves like zero.
> > > > Nope, calculus uses no fucking infinitesimals.
> > > Then you don't know Calculus.
> > > > > There is another equality difference by the infinitely small nonzero.
> > > > > In algebra a balance scale that has an infinitely small difference does not tilt.
> > I know calculus, and all of mathematics, far better than you.
> >
> > Calculus does not use infinitesimal because it is not needed.
> Infinitesimals came about because of the Calculus...
> you are lying to try and say they did not.

Fluxons, as they were called back then, was mdae then but itw as not rigorous so in the late 19th century it was replaced by limits which was reigorously defined and used since. Calculus no longer uses infinitesimals, it uses limits.

I am not lying :) NEver have, unlike you

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