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tech / sci.math / Re: John Gabriel is obviously wrong about imaginary numbers

Re: John Gabriel is obviously wrong about imaginary numbers

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Subject: Re: John Gabriel is obviously wrong about imaginary numbers
From: markuskl...@gmail.com (markus...@gmail.com)
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by: markus...@gmail.com - Thu, 14 Sep 2023 20:19 UTC

tisdag 9 juli 2019 kl. 04:20:23 UTC+2 skrev Jew Lover:
> On Monday, 8 July 2019 21:56:34 UTC-4, Chris M. Thomasson wrote:
> > On 7/8/2019 6:55 PM, Chris M. Thomasson wrote:
> > > On 7/8/2019 1:43 PM, Simply Curious wrote:
> > >> On Monday, July 8, 2019 at 9:01:57 AM UTC-4, Jew Lover wrote:
> > >>> On Monday, 8 July 2019 08:56:26 UTC-4, Jew Lover wrote:
> > >>>> On Monday, 8 July 2019 01:56:52 UTC-4, Chris M. Thomasson wrote:
> > >>>>> On 7/7/2019 3:56 PM, Jew Lover wrote:
> > >>>>>> On Sunday, 7 July 2019 18:45:30 UTC-4, Simply Curious wrote:
> > >>>>>>> On Sunday, July 7, 2019 at 6:33:58 PM UTC-4, Jew Lover wrote:
> > >>>>>>>> On Sunday, 7 July 2019 17:46:45 UTC-4, Chris M. Thomasson wrote:
> > >>>>>>>>> On 7/7/2019 6:18 AM, Jew Lover wrote:
> > >>>>>>>>>> On Sunday, 7 July 2019 01:55:06 UTC-4, Chris M. Thomasson wrote:
> > >>>>>>>>>>> On 7/6/2019 2:27 PM, Jew Lover wrote:
> > >>>>>>>>>>>> On Saturday, 6 July 2019 17:07:33 UTC-4, Chris M. Thomasson
> > >>>>>>>>>>>> wrote:
> > >>>>>>>>>>>>> On 7/6/2019 5:40 AM, Jew Lover wrote:
> > >>>>>>>>>>> [...]
> > >>>>>>>>>>>>> It is 1 unit away from the origin.
> > >>>>>>>>>>>>
> > >>>>>>>>>>>> Nope. On its own it measures nothing.
> > >>>>>>>>>>>
> > >>>>>>>>>>> It measures 1 unit away from the origin.
> > >>>>>>>>>>
> > >>>>>>>>>> No. 1 measures 1 unit away from the origin. (0,1) is not a
> > >>>>>>>>>> measure of anything.
> > >>>>>>>>>>
> > >>>>>>>>>
> > >>>>>>>>> Now, it seems like you are being obtuse. (0, 1) is one unit
> > >>>>>>>>> away from
> > >>>>>>>>> the origin! Plot the number (0, 1) on a graph (x, y). See? Have
> > >>>>>>>>> you ever
> > >>>>>>>>> used graph paper?
> > >>>>>>>>
> > >>>>>>>> (0, 1) consists of TWO numbers. So how can it be a number?
> > >>>>>>>
> > >>>>>>> I don't know, are rational numbers not numbers now?
> > >>>>>>
> > >>>>>> How did you arrive at this conclusion? That is not what I said.
> > >>>>>> Reread with hint:
> > >>>>>>
> > >>>>>> (0, 1) consists of TWO numbers. So how can it be "a" number?
> > >>>>>>
> > >>>>>
> > >>>>> 3 over 4 consists of TWO numbers. Yet it is one, take the number in
> > >>>>> base
> > >>>>> 10 being equal to .75 ?
> > >>>>
> > >>>> NOPE. _ _ _ : _ _ _ _ is what we mean when we say 3/4.
> > >>>>
> > >>>> _ _ _ : _ _ _ _ is the definition of 3/4.
> > >>>>
> > >>>> It actually states the "measure" of _ _ _ by comparing it with _ _ _ _
> > >>>>
> > >>>> This is what it means to be a number.
> > >>>>
> > >>>>>
> > >>>>> Out of two, one... ;^)
> > >>>>
> > >>>> ** A number describes the measure of a magnitude **
> > >>>>
> > >>>> "i=sqrt(-1)" does not describe ANYTHING but NONSENSE.
> > >>>>
> > >>>> (0,1) is well defined as a vector.
> > >>>
> > >>> Do you also call (a,b,c) a number? Nope. Because it does not measure
> > >>> anything.
> > >>>
> > >>> Terminology and well-formed definitions are imperative.
> > >>
> > >> ...It measures location in 3 dimensional space?
> > >>
> > >
> > > Sure does. It can be from origin at (0, 0), or any other location. ;^)
> >
> > Well, I forgot the z-axis. Let me correct:
> >
> > It can be from origin at (0, 0, 0), or any other location. ;^)
> It doesn't measure ANYTHING. You need to perform some sort of arithmetic with it, but this defeats the concept of number which arises without any arithmetic, only by intrinsic measure.
>
> I don't need to do anything with 3/4. It is a very well formed number. (a,b,c) is not a number of any kind.
You can add, multiply, divide vectors so certainly you can do arithmetic using them.

Re: John Gabriel is obviously wrong about imaginary numbers

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From: chris.m....@gmail.com (Chris M. Thomasson)
Newsgroups: sci.math
Subject: Re: John Gabriel is obviously wrong about imaginary numbers
Date: Thu, 14 Sep 2023 14:27:18 -0700
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by: Chris M. Thomasson - Thu, 14 Sep 2023 21:27 UTC

On 9/14/2023 1:19 PM, markus...@gmail.com wrote:
> tisdag 9 juli 2019 kl. 04:20:23 UTC+2 skrev Jew Lover:
>> On Monday, 8 July 2019 21:56:34 UTC-4, Chris M. Thomasson wrote:
>>> On 7/8/2019 6:55 PM, Chris M. Thomasson wrote:
>>>> On 7/8/2019 1:43 PM, Simply Curious wrote:
>>>>> On Monday, July 8, 2019 at 9:01:57 AM UTC-4, Jew Lover wrote:
>>>>>> On Monday, 8 July 2019 08:56:26 UTC-4, Jew Lover wrote:
>>>>>>> On Monday, 8 July 2019 01:56:52 UTC-4, Chris M. Thomasson wrote:
>>>>>>>> On 7/7/2019 3:56 PM, Jew Lover wrote:
>>>>>>>>> On Sunday, 7 July 2019 18:45:30 UTC-4, Simply Curious wrote:
>>>>>>>>>> On Sunday, July 7, 2019 at 6:33:58 PM UTC-4, Jew Lover wrote:
>>>>>>>>>>> On Sunday, 7 July 2019 17:46:45 UTC-4, Chris M. Thomasson wrote:
>>>>>>>>>>>> On 7/7/2019 6:18 AM, Jew Lover wrote:
>>>>>>>>>>>>> On Sunday, 7 July 2019 01:55:06 UTC-4, Chris M. Thomasson wrote:
>>>>>>>>>>>>>> On 7/6/2019 2:27 PM, Jew Lover wrote:
>>>>>>>>>>>>>>> On Saturday, 6 July 2019 17:07:33 UTC-4, Chris M. Thomasson
>>>>>>>>>>>>>>> wrote:
>>>>>>>>>>>>>>>> On 7/6/2019 5:40 AM, Jew Lover wrote:
>>>>>>>>>>>>>> [...]
>>>>>>>>>>>>>>>> It is 1 unit away from the origin.
>>>>>>>>>>>>>>>
>>>>>>>>>>>>>>> Nope. On its own it measures nothing.
>>>>>>>>>>>>>>
>>>>>>>>>>>>>> It measures 1 unit away from the origin.
>>>>>>>>>>>>>
>>>>>>>>>>>>> No. 1 measures 1 unit away from the origin. (0,1) is not a
>>>>>>>>>>>>> measure of anything.
>>>>>>>>>>>>>
>>>>>>>>>>>>
>>>>>>>>>>>> Now, it seems like you are being obtuse. (0, 1) is one unit
>>>>>>>>>>>> away from
>>>>>>>>>>>> the origin! Plot the number (0, 1) on a graph (x, y). See? Have
>>>>>>>>>>>> you ever
>>>>>>>>>>>> used graph paper?
>>>>>>>>>>>
>>>>>>>>>>> (0, 1) consists of TWO numbers. So how can it be a number?
>>>>>>>>>>
>>>>>>>>>> I don't know, are rational numbers not numbers now?
>>>>>>>>>
>>>>>>>>> How did you arrive at this conclusion? That is not what I said.
>>>>>>>>> Reread with hint:
>>>>>>>>>
>>>>>>>>> (0, 1) consists of TWO numbers. So how can it be "a" number?
>>>>>>>>>
>>>>>>>>
>>>>>>>> 3 over 4 consists of TWO numbers. Yet it is one, take the number in
>>>>>>>> base
>>>>>>>> 10 being equal to .75 ?
>>>>>>>
>>>>>>> NOPE. _ _ _ : _ _ _ _ is what we mean when we say 3/4.
>>>>>>>
>>>>>>> _ _ _ : _ _ _ _ is the definition of 3/4.
>>>>>>>
>>>>>>> It actually states the "measure" of _ _ _ by comparing it with _ _ _ _
>>>>>>>
>>>>>>> This is what it means to be a number.
>>>>>>>
>>>>>>>>
>>>>>>>> Out of two, one... ;^)
>>>>>>>
>>>>>>> ** A number describes the measure of a magnitude **
>>>>>>>
>>>>>>> "i=sqrt(-1)" does not describe ANYTHING but NONSENSE.
>>>>>>>
>>>>>>> (0,1) is well defined as a vector.
>>>>>>
>>>>>> Do you also call (a,b,c) a number? Nope. Because it does not measure
>>>>>> anything.
>>>>>>
>>>>>> Terminology and well-formed definitions are imperative.
>>>>>
>>>>> ...It measures location in 3 dimensional space?
>>>>>
>>>>
>>>> Sure does. It can be from origin at (0, 0), or any other location. ;^)
>>>
>>> Well, I forgot the z-axis. Let me correct:
>>>
>>> It can be from origin at (0, 0, 0), or any other location. ;^)
>> It doesn't measure ANYTHING. You need to perform some sort of arithmetic with it, but this defeats the concept of number which arises without any arithmetic, only by intrinsic measure.
>>
>> I don't need to do anything with 3/4. It is a very well formed number. (a,b,c) is not a number of any kind.
> You can add, multiply, divide vectors so certainly you can do arithmetic using them.

(x, y, z) as a 3-ary vector. No problem.

Subject	Author
Re: John Gabriel is obviously wrong about imaginary numbers	markus...@gmail.com
Re: John Gabriel is obviously wrong about imaginary numbers	Chris M. Thomasson