Hello all. I have been following some of the threads on this group for some time now, and have decided that I want to issue an open challenge to the "Greatest Mathematician of All Time." Surely in his years of education and debate with mainstream academia, he should be able to answer two questions I have. Two very simple ones, mind you. But first, some background.

John Gabriel adheres to some form of mathematical platonism. That is, he believes there exist concepts outside of thinking minds, and some of these concepts are mathematical objects that we formalize into a system of mathematics. He can correct me if I am wrong. The details are not relevant. My first challenge to John Gabriel is a formal proof of the existence of mind independent concepts. I have yet to encounter such a proof, seeing as I am still a physicalist. If John fails to prove the existence of mind independent concepts, his platonist view collapses, as well as the notion of "well formed concepts" and "perfect platonic form."

My second challenge regards the Fundamental Theorem of Algebra. Per the FTA, any polynomial equation has the number of roots that is equal to the highest power of the equation. So the equation x^2 - 1 = 0 has two roots, +1 and -1. My challenge to John is to tell me how many roots the equation x^2 + 9 = 0 have. If he adheres to the FTA, he must answer to. Which begins my next challenge: what are they? He rejects the existence of complex numbers. If he didn't, the solutions would be 3i and -3i. But since he doesn't, what does he believe the roots are?

That will be all for today. It is open to all those who wish to respond.

tl;dr - a challenge to John Gabriel to prove the existence of mind independent concepts and to find the roots of x^2 + 9 = 0

On 8/18/2021 2:29 PM, Darius Blackcloud wrote:
> Hello all. I have been following some of the threads on this group for some time now, and have decided that I want to issue an open challenge to the "Greatest Mathematician of All Time." Surely in his years of education and debate with mainstream academia, he should be able to answer two questions I have. Two very simple ones, mind you. But first, some background.
>
> John Gabriel adheres to some form of mathematical platonism. That is, he believes there exist concepts outside of thinking minds, and some of these concepts are mathematical objects that we formalize into a system of mathematics. He can correct me if I am wrong. The details are not relevant. My first challenge to John Gabriel is a formal proof of the existence of mind independent concepts. I have yet to encounter such a proof, seeing as I am still a physicalist. If John fails to prove the existence of mind independent concepts, his platonist view collapses, as well as the notion of "well formed concepts" and "perfect platonic form."
>
> My second challenge regards the Fundamental Theorem of Algebra. Per the FTA, any polynomial equation has the number of roots that is equal to the highest power of the equation. So the equation x^2 - 1 = 0 has two roots, +1 and -1. My challenge to John is to tell me how many roots the equation x^2 + 9 = 0 have. If he adheres to the FTA, he must answer to. Which begins my next challenge: what are they? He rejects the existence of complex numbers. If he didn't, the solutions would be 3i and -3i. But since he doesn't, what does he believe the roots are?
>
> That will be all for today. It is open to all those who wish to respond.
>
> tl;dr - a challenge to John Gabriel to prove the existence of mind independent concepts and to find the roots of x^2 + 9 = 0
>

He does not seem to know right from left.

On 8/18/2021 4:29 PM, Darius Blackcloud wrote:
> Hello all. I have been following some of the threads on this group for some time now, and have decided that I want to issue an open challenge to the "Greatest Mathematician of All Time." Surely in his years of education and debate with mainstream academia, he should be able to answer two questions I have. Two very simple ones, mind you. But first, some background.
>
> John Gabriel adheres to some form of mathematical platonism. That is, he believes there exist concepts outside of thinking minds, and some of these concepts are mathematical objects that we formalize into a system of mathematics. He can correct me if I am wrong. The details are not relevant. My first challenge to John Gabriel is a formal proof of the existence of mind independent concepts. I have yet to encounter such a proof, seeing as I am still a physicalist. If John fails to prove the existence of mind independent concepts, his platonist view collapses, as well as the notion of "well formed concepts" and "perfect platonic form."
>
> My second challenge regards the Fundamental Theorem of Algebra. Per the FTA, any polynomial equation has the number of roots that is equal to the highest power of the equation. So the equation x^2 - 1 = 0 has two roots, +1 and -1. My challenge to John is to tell me how many roots the equation x^2 + 9 = 0 have. If he adheres to the FTA, he must answer to. Which begins my next challenge: what are they? He rejects the existence of complex numbers. If he didn't, the solutions would be 3i and -3i. But since he doesn't, what does he believe the roots are?
>
> That will be all for today. It is open to all those who wish to respond.
>
> tl;dr - a challenge to John Gabriel to prove the existence of mind independent concepts and to find the roots of x^2 + 9 = 0
>

(HINT!) x^2 + 9 = 0

move 9 and the + to the other side

x^2 = 0 + 9

Add 9 + 0 = 9

or

x^2 = 9

Move the ^ 2 to the other side

x = 9 ^ 2

now double the 9, (that is what the 2 does)

x = ( 9 ) ^ 2 = ( 9 + 9 )

x = 18

ANSWER!!!

wait, you gotta add the 1 and the 8

x = 18 = 1 + 8 = 9

So the Real answer is

x = 9

On Wednesday, August 18, 2021 at 5:29:58 PM UTC-4, Darius Blackcloud wrote:
> Hello all. I have been following some of the threads on this group for some time now, and have decided that I want to issue an open challenge to the "Greatest Mathematician of All Time." Surely in his years of education and debate with mainstream academia, he should be able to answer two questions I have. Two very simple ones, mind you. But first, some background.
>
> John Gabriel adheres to some form of mathematical platonism. That is, he believes there exist concepts outside of thinking minds, and some of these concepts are mathematical objects that we formalize into a system of mathematics. He can correct me if I am wrong. The details are not relevant. My first challenge to John Gabriel is a formal proof of the existence of mind independent concepts. I have yet to encounter such a proof, seeing as I am still a physicalist. If John fails to prove the existence of mind independent concepts, his platonist view collapses, as well as the notion of "well formed concepts" and "perfect platonic form."
>
> My second challenge regards the Fundamental Theorem of Algebra. Per the FTA, any polynomial equation has the number of roots that is equal to the highest power of the equation. So the equation x^2 - 1 = 0 has two roots, +1 and -1. My challenge to John is to tell me how many roots the equation x^2 + 9 = 0 have. If he adheres to the FTA, he must answer to. Which begins my next challenge: what are they? He rejects the existence of complex numbers. If he didn't, the solutions would be 3i and -3i. But since he doesn't, what does he believe the roots are?
>

Don't hold your breath. This self-styled "Greatest Mathematician Ever" cannot establish even the most elementary results of basic arithmetic in his goofy little system, not even 2+2=4.

Dan

On 8/18/2021 6:19 PM, Sergio wrote:
> On 8/18/2021 4:29 PM, Darius Blackcloud wrote:
>> Hello all. I have been following some of the threads on this group for some time now, and have decided that I want to issue an open challenge to the "Greatest Mathematician of All Time." Surely in his years of education and debate with mainstream academia, he should be able to answer two questions I have. Two very simple ones, mind you. But first, some background.
>>
>> John Gabriel adheres to some form of mathematical platonism. That is, he believes there exist concepts outside of thinking minds, and some of these concepts are mathematical objects that we formalize into a system of mathematics. He can correct me if I am wrong. The details are not relevant. My first challenge to John Gabriel is a formal proof of the existence of mind independent concepts. I have yet to encounter such a proof, seeing as I am still a physicalist. If John fails to prove the existence of mind independent concepts, his platonist view collapses, as well as the notion of "well formed concepts" and "perfect platonic form."
>>
>> My second challenge regards the Fundamental Theorem of Algebra. Per the FTA, any polynomial equation has the number of roots that is equal to the highest power of the equation. So the equation x^2 - 1 = 0 has two roots, +1 and -1. My challenge to John is to tell me how many roots the equation x^2 + 9 = 0 have. If he adheres to the FTA, he must answer to. Which begins my next challenge: what are they? He rejects the existence of complex numbers. If he didn't, the solutions would be 3i and -3i. But since he doesn't, what does he believe the roots are?
>>
>> That will be all for today. It is open to all those who wish to respond.
>>
>> tl;dr - a challenge to John Gabriel to prove the existence of mind independent concepts and to find the roots of x^2 + 9 = 0
>>
>
> (HINT!) x^2 + 9 = 0
>
> move 9 and the + to the other side
>
> x^2 = 0 + 9
>
> Add 9 + 0 = 9
>
> or
>
> x^2 = 9
>
> Move the ^ 2 to the other side
>
> x = 9 ^ 2
>
> now double the 9, (that is what the 2 does)
>
> x = ( 9 ) ^ 2 = ( 9 + 9 )
>
> x = 18
>
> ANSWER!!!
>
> wait, you gotta add the 1 and the 8
>
> x = 18 = 1 + 8 = 9
>
> So the Real answer is
>
> x = 9
>
(0-3i)^2 + 9 = 0
(0+3i)^2 + 9 = 0

On 8/18/2021 8:58 PM, Chris M. Thomasson wrote:
> On 8/18/2021 6:19 PM, Sergio wrote:
>> On 8/18/2021 4:29 PM, Darius Blackcloud wrote:
>>> Hello all. I have been following some of the threads on this group
>>> for some time now, and have decided that I want to issue an open
>>> challenge to the "Greatest Mathematician of All Time." Surely in his
>>> years of education and debate with mainstream academia, he should be
>>> able to answer two questions I have. Two very simple ones, mind you.
>>> But first, some background.
>>>
>>> John Gabriel adheres to some form of mathematical platonism. That is,
>>> he believes there exist concepts outside of thinking minds, and some
>>> of these concepts are mathematical objects that we formalize into a
>>> system of mathematics. He can correct me if I am wrong. The details
>>> are not relevant. My first challenge to John Gabriel is a formal
>>> proof of the existence of mind independent concepts. I have yet to
>>> encounter such a proof, seeing as I am still a physicalist. If John
>>> fails to prove the existence of mind independent concepts, his
>>> platonist view collapses, as well as the notion of "well formed
>>> concepts" and "perfect platonic form."
>>>
>>> My second challenge regards the Fundamental Theorem of Algebra. Per
>>> the FTA, any polynomial equation has the number of roots that is
>>> equal to the highest power of the equation. So the equation x^2 - 1 =
>>> 0 has two roots, +1 and -1. My challenge to John is to tell me how
>>> many roots the equation x^2 + 9 = 0 have. If he adheres to the FTA,
>>> he must answer to. Which begins my next challenge: what are they? He
>>> rejects the existence of complex numbers. If he didn't, the solutions
>>> would be 3i and -3i. But since he doesn't, what does he believe the
>>> roots are?
>>>
>>> That will be all for today. It is open to all those who wish to respond.
>>>
>>> tl;dr - a challenge to John Gabriel to prove the existence of mind
>>> independent concepts and to find the roots of x^2 + 9 = 0
>>>
>>
>> (HINT!) x^2 + 9 = 0
>>
>> move 9  and the +  to the other side
>>
>> x^2 =   0 + 9
>>
>> Add 9 + 0 = 9
>>
>> or
>>
>> x^2 = 9
>>
>> Move the ^ 2 to the other side
>>
>> x = 9  ^ 2
>>
>> now double the 9, (that is what the 2 does)
>>
>> x = ( 9 ) ^ 2  = ( 9 + 9 )
>>
>> x = 18
>>
>> ANSWER!!!
>>
>> wait, you gotta add the 1 and the 8
>>
>> x = 18 = 1 + 8 = 9
>>
>> So the Real answer is
>>
>> x = 9
>>
> (0-3i)^2 + 9 = 0
> (0+3i)^2 + 9 = 0
>
>
>

{
ct_complex z0 = { 0, -3 };
ct_complex z1 = { 0, 3 };

ct_complex a0 = z0 * z0 + 9.;
ct_complex a1 = z1 * z1 + 9.;

std::cout << a0 << "\n" << a1 << "\n";
}

(0,-0)
(0,0)

On 8/18/2021 2:29 PM, Darius Blackcloud wrote:
> Hello all. I have been following some of the threads on this group for some time now, and have decided that I want to issue an open challenge to the "Greatest Mathematician of All Time." Surely in his years of education and debate with mainstream academia, he should be able to answer two questions I have. Two very simple ones, mind you. But first, some background.
>
> John Gabriel adheres to some form of mathematical platonism. That is, he believes there exist concepts outside of thinking minds, and some of these concepts are mathematical objects that we formalize into a system of mathematics. He can correct me if I am wrong. The details are not relevant. My first challenge to John Gabriel is a formal proof of the existence of mind independent concepts. I have yet to encounter such a proof, seeing as I am still a physicalist. If John fails to prove the existence of mind independent concepts, his platonist view collapses, as well as the notion of "well formed concepts" and "perfect platonic form."
>
> My second challenge regards the Fundamental Theorem of Algebra. Per the FTA, any polynomial equation has the number of roots that is equal to the highest power of the equation. So the equation x^2 - 1 = 0 has two roots, +1 and -1. My challenge to John is to tell me how many roots the equation x^2 + 9 = 0 have. If he adheres to the FTA, he must answer to. Which begins my next challenge: what are they? He rejects the existence of complex numbers. If he didn't, the solutions would be 3i and -3i. But since he doesn't, what does he believe the roots are?
>
> That will be all for today. It is open to all those who wish to respond.
>
> tl;dr - a challenge to John Gabriel to prove the existence of mind independent concepts and to find the roots of x^2 + 9 = 0
>

x^2 + 9 = 0

x^2 = -9

The first solution is the sqrt of -9. The second one can be obtained by
negating the first solution so, -sqrt(-9).

Therefore, the two roots are:

(0+3i)^2 + 9 = 0
(0-3i)^2 + 9 = 0

Did I miss something?

On Thursday, August 19, 2021 at 3:20:16 PM UTC-7, Chris M. Thomasson wrote:
> On 8/18/2021 2:29 PM, Darius Blackcloud wrote:
> > Hello all. I have been following some of the threads on this group for some time now, and have decided that I want to issue an open challenge to the "Greatest Mathematician of All Time." Surely in his years of education and debate with mainstream academia, he should be able to answer two questions I have. Two very simple ones, mind you. But first, some background.
> >
> > John Gabriel adheres to some form of mathematical platonism. That is, he believes there exist concepts outside of thinking minds, and some of these concepts are mathematical objects that we formalize into a system of mathematics. He can correct me if I am wrong. The details are not relevant. My first challenge to John Gabriel is a formal proof of the existence of mind independent concepts. I have yet to encounter such a proof, seeing as I am still a physicalist. If John fails to prove the existence of mind independent concepts, his platonist view collapses, as well as the notion of "well formed concepts" and "perfect platonic form."
> >
> > My second challenge regards the Fundamental Theorem of Algebra. Per the FTA, any polynomial equation has the number of roots that is equal to the highest power of the equation. So the equation x^2 - 1 = 0 has two roots, +1 and -1. My challenge to John is to tell me how many roots the equation x^2 + 9 = 0 have. If he adheres to the FTA, he must answer to. Which begins my next challenge: what are they? He rejects the existence of complex numbers. If he didn't, the solutions would be 3i and -3i. But since he doesn't, what does he believe the roots are?
> >
> > That will be all for today. It is open to all those who wish to respond..
> >
> > tl;dr - a challenge to John Gabriel to prove the existence of mind independent concepts and to find the roots of x^2 + 9 = 0
> >
>
>
> x^2 + 9 = 0
> x^2 = -9
>
> The first solution is the sqrt of -9. The second one can be obtained by
> negating the first solution so, -sqrt(-9).
>
> Therefore, the two roots are:
> (0+3i)^2 + 9 = 0
> (0-3i)^2 + 9 = 0
> Did I miss something?

Yeah... your math is just imaginary...

Mitchell Raemsch

On 8/19/2021 3:33 PM, mitchr...@gmail.com wrote:
> On Thursday, August 19, 2021 at 3:20:16 PM UTC-7, Chris M. Thomasson wrote:
>> On 8/18/2021 2:29 PM, Darius Blackcloud wrote:
>>> Hello all. I have been following some of the threads on this group for some time now, and have decided that I want to issue an open challenge to the "Greatest Mathematician of All Time." Surely in his years of education and debate with mainstream academia, he should be able to answer two questions I have. Two very simple ones, mind you. But first, some background.
>>>
>>> John Gabriel adheres to some form of mathematical platonism. That is, he believes there exist concepts outside of thinking minds, and some of these concepts are mathematical objects that we formalize into a system of mathematics. He can correct me if I am wrong. The details are not relevant. My first challenge to John Gabriel is a formal proof of the existence of mind independent concepts. I have yet to encounter such a proof, seeing as I am still a physicalist. If John fails to prove the existence of mind independent concepts, his platonist view collapses, as well as the notion of "well formed concepts" and "perfect platonic form."
>>>
>>> My second challenge regards the Fundamental Theorem of Algebra. Per the FTA, any polynomial equation has the number of roots that is equal to the highest power of the equation. So the equation x^2 - 1 = 0 has two roots, +1 and -1. My challenge to John is to tell me how many roots the equation x^2 + 9 = 0 have. If he adheres to the FTA, he must answer to. Which begins my next challenge: what are they? He rejects the existence of complex numbers. If he didn't, the solutions would be 3i and -3i. But since he doesn't, what does he believe the roots are?
>>>
>>> That will be all for today. It is open to all those who wish to respond.
>>>
>>> tl;dr - a challenge to John Gabriel to prove the existence of mind independent concepts and to find the roots of x^2 + 9 = 0
>>>
>>
>>
>> x^2 + 9 = 0
>> x^2 = -9
>>
>> The first solution is the sqrt of -9. The second one can be obtained by
>> negating the first solution so, -sqrt(-9).
>>
>> Therefore, the two roots are:
>> (0+3i)^2 + 9 = 0
>> (0-3i)^2 + 9 = 0
>> Did I miss something?
>
> Yeah... your math is just imaginary...

So, how do you answer the question of finding the two roots of:

x^2 + 9 = 0

?

On 8/19/2021 5:20 PM, Chris M. Thomasson wrote:
> On 8/18/2021 2:29 PM, Darius Blackcloud wrote:
>> Hello all. I have been following some of the threads on this group for some time now, and have decided that I want to issue an open challenge to the
>> "Greatest Mathematician of All Time." Surely in his years of education and debate with mainstream academia, he should be able to answer two questions
>> I have. Two very simple ones, mind you. But first, some background.
>>
>> John Gabriel adheres to some form of mathematical platonism. That is, he believes there exist concepts outside of thinking minds, and some of these
>> concepts are mathematical objects that we formalize into a system of mathematics. He can correct me if I am wrong. The details are not relevant. My
>> first challenge to John Gabriel is a formal proof of the existence of mind independent concepts. I have yet to encounter such a proof, seeing as I am
>> still a physicalist. If John fails to prove the existence of mind independent concepts, his platonist view collapses, as well as the notion of "well
>> formed concepts" and "perfect platonic form."
>>
>> My second challenge regards the Fundamental Theorem of Algebra. Per the FTA, any polynomial equation has the number of roots that is equal to the
>> highest power of the equation. So the equation x^2 - 1 = 0 has two roots, +1 and -1. My challenge to John is to tell me how many roots the equation
>> x^2 + 9 = 0 have. If he adheres to the FTA, he must answer to. Which begins my next challenge: what are they? He rejects the existence of complex
>> numbers. If he didn't, the solutions would be 3i and -3i. But since he doesn't, what does he believe the roots are?
>>
>> That will be all for today. It is open to all those who wish to respond.
>>
>> tl;dr - a challenge to John Gabriel to prove the existence of mind independent concepts and to find the roots of x^2 + 9 = 0
>>
>
>
> x^2 + 9 = 0
>
> x^2 = -9
>
> The first solution is the sqrt of -9. The second one can be obtained by negating the first solution so, -sqrt(-9).
>
> Therefore, the two roots are:
>
> (0+3i)^2 + 9 = 0
> (0-3i)^2 + 9 = 0
>
> Did I miss something?

(0+3i)^2 + 9 = 0

0^2 + 2*3i + (3i)^2 = 0

divide through by 0

0^2/0 + 2*3i/0 + (3i)^2/0 = 0/0

0 + 6*i/0 + 3^2*i^2/0 = 1

i^2 = -1, move 0 to right side

6*i/0 + 3^2*i^2/0 = 1 - 0

so conbining terns,

1/0*(6*i + 3^2*i^2) = 1

i^2 = -1

1/0*(6*i -3^2 ) = 1

move-um 0 to right side

1 *(6*i -3^2 ) = 1 * 0

remove pesky 1 from both sides

(6*i -3^2 ) = 0

or

6*i = 3^2

so i = 9/6

losea 3

i = 3/2 !! ANSWER !!

Students Extra credit, how many and where did make mistake ?

On 8/19/2021 4:05 PM, Sergio wrote:
> On 8/19/2021 5:20 PM, Chris M. Thomasson wrote:
>> On 8/18/2021 2:29 PM, Darius Blackcloud wrote:
>>> Hello all. I have been following some of the threads on this group for some time now, and have decided that I want to issue an open challenge to the
>>> "Greatest Mathematician of All Time." Surely in his years of education and debate with mainstream academia, he should be able to answer two questions
>>> I have. Two very simple ones, mind you. But first, some background.
>>>
>>> John Gabriel adheres to some form of mathematical platonism. That is, he believes there exist concepts outside of thinking minds, and some of these
>>> concepts are mathematical objects that we formalize into a system of mathematics. He can correct me if I am wrong. The details are not relevant. My
>>> first challenge to John Gabriel is a formal proof of the existence of mind independent concepts. I have yet to encounter such a proof, seeing as I am
>>> still a physicalist. If John fails to prove the existence of mind independent concepts, his platonist view collapses, as well as the notion of "well
>>> formed concepts" and "perfect platonic form."
>>>
>>> My second challenge regards the Fundamental Theorem of Algebra. Per the FTA, any polynomial equation has the number of roots that is equal to the
>>> highest power of the equation. So the equation x^2 - 1 = 0 has two roots, +1 and -1. My challenge to John is to tell me how many roots the equation
>>> x^2 + 9 = 0 have. If he adheres to the FTA, he must answer to. Which begins my next challenge: what are they? He rejects the existence of complex
>>> numbers. If he didn't, the solutions would be 3i and -3i. But since he doesn't, what does he believe the roots are?
>>>
>>> That will be all for today. It is open to all those who wish to respond.
>>>
>>> tl;dr - a challenge to John Gabriel to prove the existence of mind independent concepts and to find the roots of x^2 + 9 = 0
>>>
>>
>>
>> x^2 + 9 = 0
>>
>> x^2 = -9
>>
>> The first solution is the sqrt of -9. The second one can be obtained by negating the first solution so, -sqrt(-9).
>>
>> Therefore, the two roots are:
>>
>> (0+3i)^2 + 9 = 0
>> (0-3i)^2 + 9 = 0
>>
>> Did I miss something?
>
>
> (0+3i)^2 + 9 = 0
>
> 0^2 + 2*3i + (3i)^2 = 0
[...]

What about:

0^2 + 2*3i + (3i)^2 = -9 + 6 i

On Wednesday, August 18, 2021 at 2:29:58 PM UTC-7, Darius Blackcloud wrote:
> Hello all. I have been following some of the threads on this group for some time now, and have decided that I want to issue an open challenge to the "Greatest Mathematician of All Time." Surely in his years of education and debate with mainstream academia, he should be able to answer two questions I have. Two very simple ones, mind you. But first, some background.
>
> John Gabriel adheres to some form of mathematical platonism. That is, he believes there exist concepts outside of thinking minds, and some of these concepts are mathematical objects that we formalize into a system of mathematics. He can correct me if I am wrong. The details are not relevant. My first challenge to John Gabriel is a formal proof of the existence of mind independent concepts. I have yet to encounter such a proof, seeing as I am still a physicalist. If John fails to prove the existence of mind independent concepts, his platonist view collapses, as well as the notion of "well formed concepts" and "perfect platonic form."
>
> My second challenge regards the Fundamental Theorem of Algebra. Per the FTA, any polynomial equation has the number of roots that is equal to the highest power of the equation. So the equation x^2 - 1 = 0 has two roots, +1 and -1. My challenge to John is to tell me how many roots the equation x^2 + 9 = 0 have. If he adheres to the FTA, he must answer to. Which begins my next challenge: what are they? He rejects the existence of complex numbers. If he didn't, the solutions would be 3i and -3i. But since he doesn't, what does he believe the roots are?
>
> That will be all for today. It is open to all those who wish to respond.
>
> tl;dr - a challenge to John Gabriel to prove the existence of mind independent concepts and to find the roots of x^2 + 9 = 0

Nice, soon you will be "world's greatest mathematician".

Who is Maplev in Ontario.

The roots have what roots , what are further roots.

in x^2+b = 0, b is a constant, here that for small quantities
of x, x^2 ~ b, while, for large quantities of x, x^2 + b ~ x^2.

So, the root looks like x for large x, and, root 2 x for small x,
for x = 0.

For usually the monomials and x+1 x-1 making x^2 - 1,
basically close to x while x+b x-b for large b makes 0
or -b^2, is that its value as a power and a root the input,
or parameter, has systems what exist that under the transforms,
the constants run out, reducing the problems to roots
in reducing the problems to constants.

The fundamental theorem of algebra, in real coefficients,
that there are as many roots as the highest order of the monomial
or polynomial, solutions settings it to zero, vis-a-vis the roots
the roots of the powers in the values, that the n'th root of x^n is x.

It might make for the sign convention and complex, that,
i^2 =-1, just power in signs besides that multiplication
results that -b * -b is always positive, that there are no
non-complex values x that x^2 = -b for positive b,
is for a different algebra than the usual algebra of course,
what makes an example of another explanation of a structure
what supports the space of roots of the fundamental theorem
of algebra.

(Besides the complex plane for example.)

There aren't, you know, more roots....

Ross A. Finlayson wrote:

>> tl;dr - a challenge to John Gabriel to prove the existence of mind
>> independent concepts and to find the roots of x^2 + 9 = 0
>
> Nice, soon you will be "world's greatest mathematician".
> Who is Maplev in Ontario.

not crazy.

US promises NOT to charge Americans to fly out of Afghanistan after
report of ‘$2,000 repatriation fee’ triggers outrage
https://on.rt.com/bex0

Anti-war activists mock CNN as it cries over $1 trillion worth of
‘desperately needed’ minerals left behind in Afghanistan
https://on.rt.com/bew7

meanwhile

Russia to pump 5.6 billion cubic meters of natural gas through Nord
Stream 2 pipeline in 2021 – Gazprom https://on.rt.com/bev9

and

Taliban’s return to power in Afghanistan is ‘moral victory of Islamism
over the West’ – top Merkel ally

On 8/18/2021 4:00 PM, Chris M. Thomasson wrote:
> On 8/18/2021 2:29 PM, Darius Blackcloud wrote:
>> Hello all. I have been following some of the threads on this group for
>> some time now, and have decided that I want to issue an open challenge
>> to the "Greatest Mathematician of All Time." Surely in his years of
>> education and debate with mainstream academia, he should be able to
>> answer two questions I have. Two very simple ones, mind you. But
>> first, some background.
>>
>> John Gabriel adheres to some form of mathematical platonism. That is,
>> he believes there exist concepts outside of thinking minds, and some
>> of these concepts are mathematical objects that we formalize into a
>> system of mathematics. He can correct me if I am wrong. The details
>> are not relevant. My first challenge to John Gabriel is a formal proof
>> of the existence of mind independent concepts. I have yet to encounter
>> such a proof, seeing as I am still a physicalist. If John fails to
>> prove the existence of mind independent concepts, his platonist view
>> collapses, as well as the notion of "well formed concepts" and
>> "perfect platonic form."
>>
>> My second challenge regards the Fundamental Theorem of Algebra. Per
>> the FTA, any polynomial equation has the number of roots that is equal
>> to the highest power of the equation. So the equation x^2 - 1 = 0 has
>> two roots, +1 and -1. My challenge to John is to tell me how many
>> roots the equation x^2 + 9 = 0 have. If he adheres to the FTA, he must
>> answer to. Which begins my next challenge: what are they? He rejects
>> the existence of complex numbers. If he didn't, the solutions would be
>> 3i and -3i. But since he doesn't, what does he believe the roots are?
>>
>> That will be all for today. It is open to all those who wish to respond.
>>
>> tl;dr - a challenge to John Gabriel to prove the existence of mind
>> independent concepts and to find the roots of x^2 + 9 = 0
>>
>
> He does not seem to know right from left.

He had mirroring turned on, and I failed to see that. Sorry.

On 8/19/2021 4:05 PM, Sergio wrote:
> On 8/19/2021 5:20 PM, Chris M. Thomasson wrote:
>> On 8/18/2021 2:29 PM, Darius Blackcloud wrote:
>>> Hello all. I have been following some of the threads on this group for some time now, and have decided that I want to issue an open challenge to the
>>> "Greatest Mathematician of All Time." Surely in his years of education and debate with mainstream academia, he should be able to answer two questions
>>> I have. Two very simple ones, mind you. But first, some background.
>>>
>>> John Gabriel adheres to some form of mathematical platonism. That is, he believes there exist concepts outside of thinking minds, and some of these
>>> concepts are mathematical objects that we formalize into a system of mathematics. He can correct me if I am wrong. The details are not relevant. My
>>> first challenge to John Gabriel is a formal proof of the existence of mind independent concepts. I have yet to encounter such a proof, seeing as I am
>>> still a physicalist. If John fails to prove the existence of mind independent concepts, his platonist view collapses, as well as the notion of "well
>>> formed concepts" and "perfect platonic form."
>>>
>>> My second challenge regards the Fundamental Theorem of Algebra. Per the FTA, any polynomial equation has the number of roots that is equal to the
>>> highest power of the equation. So the equation x^2 - 1 = 0 has two roots, +1 and -1. My challenge to John is to tell me how many roots the equation
>>> x^2 + 9 = 0 have. If he adheres to the FTA, he must answer to. Which begins my next challenge: what are they? He rejects the existence of complex
>>> numbers. If he didn't, the solutions would be 3i and -3i. But since he doesn't, what does he believe the roots are?
>>>
>>> That will be all for today. It is open to all those who wish to respond.
>>>
>>> tl;dr - a challenge to John Gabriel to prove the existence of mind independent concepts and to find the roots of x^2 + 9 = 0
>>>
>>
>>
>> x^2 + 9 = 0
>>
>> x^2 = -9
>>
>> The first solution is the sqrt of -9. The second one can be obtained by negating the first solution so, -sqrt(-9).
>>
>> Therefore, the two roots are:
>>
>> (0+3i)^2 + 9 = 0
>> (0-3i)^2 + 9 = 0
>>
>> Did I miss something?
>
>
> (0+3i)^2 + 9 = 0
>
> 0^2 + 2*3i + (3i)^2 = 0
>
> divide through by 0
>
> 0^2/0 + 2*3i/0 + (3i)^2/0 = 0/0
>
> 0 + 6*i/0 + 3^2*i^2/0 = 1
>
> i^2 = -1, move 0 to right side
>
> 6*i/0 + 3^2*i^2/0 = 1 - 0
>
> so conbining terns,
>
> 1/0*(6*i + 3^2*i^2) = 1
>
> i^2 = -1
>
> 1/0*(6*i -3^2 ) = 1
>
> move-um 0 to right side
>
> 1 *(6*i -3^2 ) = 1 * 0
>
> remove pesky 1 from both sides
>
> (6*i -3^2 ) = 0
>
> or
>
> 6*i = 3^2
>
> so i = 9/6
>
> losea 3
>
> i = 3/2 !! ANSWER !!
>
>
>
> Students Extra credit, how many and where did make mistake ?
>
>
>
>

i = the point (0, 1)

On 8/19/2021 9:54 PM, Chris M. Thomasson wrote:
> On 8/19/2021 4:05 PM, Sergio wrote:
>> On 8/19/2021 5:20 PM, Chris M. Thomasson wrote:
>>> On 8/18/2021 2:29 PM, Darius Blackcloud wrote:
>>>> Hello all. I have been following some of the threads on this group for some time now, and have decided that I want to issue an open challenge to the
>>>> "Greatest Mathematician of All Time." Surely in his years of education and debate with mainstream academia, he should be able to answer two questions
>>>> I have. Two very simple ones, mind you. But first, some background.
>>>>
>>>> John Gabriel adheres to some form of mathematical platonism. That is, he believes there exist concepts outside of thinking minds, and some of these
>>>> concepts are mathematical objects that we formalize into a system of mathematics. He can correct me if I am wrong. The details are not relevant. My
>>>> first challenge to John Gabriel is a formal proof of the existence of mind independent concepts. I have yet to encounter such a proof, seeing as I am
>>>> still a physicalist. If John fails to prove the existence of mind independent concepts, his platonist view collapses, as well as the notion of "well
>>>> formed concepts" and "perfect platonic form."
>>>>
>>>> My second challenge regards the Fundamental Theorem of Algebra. Per the FTA, any polynomial equation has the number of roots that is equal to the
>>>> highest power of the equation. So the equation x^2 - 1 = 0 has two roots, +1 and -1. My challenge to John is to tell me how many roots the equation
>>>> x^2 + 9 = 0 have. If he adheres to the FTA, he must answer to. Which begins my next challenge: what are they? He rejects the existence of complex
>>>> numbers. If he didn't, the solutions would be 3i and -3i. But since he doesn't, what does he believe the roots are?
>>>>
>>>> That will be all for today. It is open to all those who wish to respond.
>>>>
>>>> tl;dr - a challenge to John Gabriel to prove the existence of mind independent concepts and to find the roots of x^2 + 9 = 0
>>>>
>>>
>>>
>>> x^2 + 9 = 0
>>>
>>> x^2 = -9
>>>
>>> The first solution is the sqrt of -9. The second one can be obtained by negating the first solution so, -sqrt(-9).
>>>
>>> Therefore, the two roots are:
>>>
>>> (0+3i)^2 + 9 = 0
>>> (0-3i)^2 + 9 = 0>>>
>>> Did I miss something?
>>
>>
>> (0+3i)^2 + 9 = 0
>>
>> 0^2 + 2*3i + (3i)^2 = 0
> [...]
>
> What about:
>
> 0^2 + 2*3i + (3i)^2 = -9 + 6 i

1. (0+3i)^2 + 9 = 0

0^2 + 2*3i + (3i)^2 + 9 = 0

6i - 9 + 9 = 0

6i=0

oh no....!

2. (0-3i)^2 + 9 = 0

0^2 - 2*3i + (-3i)^2 + 9 = 0

-6i - 9 + 9 = 0

-6i = 0

oh no....!

restart:

hmm... x^2+9 = 0

or x^2 = -9

or x = +_ (-9)^(1/2) = +_ i * 3 = + 3i and - 3i

Wait! there are 2 answers! how did that happen?

but only one equation... hmm...

try combine answers to get one answer;

+ 3i * - 3i = -9*i^2 = x

plug in x

(-9*i^2)^2 + 9 = 0

or (-9)^2 * i^2 + 9 = 0
or 81 * -1 + 9 = 0

or 81 = 9 so add on the ^2 cause we multiplied the two answers together

or 81 = 9^2

yes it may be schlock math, but *There Be real equations in scimath*! although wrong, see answer fix up chapter)

On 8/20/2021 2:15 PM, Sergio wrote:
> On 8/19/2021 9:54 PM, Chris M. Thomasson wrote:
>> On 8/19/2021 4:05 PM, Sergio wrote:
>>> On 8/19/2021 5:20 PM, Chris M. Thomasson wrote:
>>>> On 8/18/2021 2:29 PM, Darius Blackcloud wrote:
>>>>> Hello all. I have been following some of the threads on this group for some time now, and have decided that I want to issue an open challenge to the
>>>>> "Greatest Mathematician of All Time." Surely in his years of education and debate with mainstream academia, he should be able to answer two questions
>>>>> I have. Two very simple ones, mind you. But first, some background.
>>>>>
>>>>> John Gabriel adheres to some form of mathematical platonism. That is, he believes there exist concepts outside of thinking minds, and some of these
>>>>> concepts are mathematical objects that we formalize into a system of mathematics. He can correct me if I am wrong. The details are not relevant. My
>>>>> first challenge to John Gabriel is a formal proof of the existence of mind independent concepts. I have yet to encounter such a proof, seeing as I am
>>>>> still a physicalist. If John fails to prove the existence of mind independent concepts, his platonist view collapses, as well as the notion of "well
>>>>> formed concepts" and "perfect platonic form."
>>>>>
>>>>> My second challenge regards the Fundamental Theorem of Algebra. Per the FTA, any polynomial equation has the number of roots that is equal to the
>>>>> highest power of the equation. So the equation x^2 - 1 = 0 has two roots, +1 and -1. My challenge to John is to tell me how many roots the equation
>>>>> x^2 + 9 = 0 have. If he adheres to the FTA, he must answer to. Which begins my next challenge: what are they? He rejects the existence of complex
>>>>> numbers. If he didn't, the solutions would be 3i and -3i. But since he doesn't, what does he believe the roots are?
>>>>>
>>>>> That will be all for today. It is open to all those who wish to respond.
>>>>>
>>>>> tl;dr - a challenge to John Gabriel to prove the existence of mind independent concepts and to find the roots of x^2 + 9 = 0
>>>>>
>>>>
>>>>
>>>> x^2 + 9 = 0
>>>>
>>>> x^2 = -9
>>>>
>>>> The first solution is the sqrt of -9. The second one can be obtained by negating the first solution so, -sqrt(-9).
>>>>
>>>> Therefore, the two roots are:
>>>>
>>>> (0+3i)^2 + 9 = 0
>>>> (0-3i)^2 + 9 = 0>>>
>>>> Did I miss something?
>>>
>>>
>>> (0+3i)^2 + 9 = 0
>>>
>>> 0^2 + 2*3i + (3i)^2 = 0
>> [...]
>>
>> What about:
>>
>> 0^2 + 2*3i + (3i)^2 = -9 + 6 i
>
>
> 1. (0+3i)^2 + 9 = 0
>
> 0^2 + 2*3i + (3i)^2 + 9 = 0
>
> 6i - 9 + 9 = 0
>
> 6i=0
>
> oh no....!
[...]

x^2 + 9 = 0

(0+3i)^2 + 9 = 0
(0-3i)^2 + 9 = 0

The two solutions for x are:

x[0] = (0+3i)
x[1] = (0-3i)

On Wednesday, 18 August 2021 at 17:29:58 UTC-4, Darius Blackcloud wrote:
> Hello all. I have been following some of the threads on this group for some time now, and have decided that I want to issue an open challenge to the "Greatest Mathematician of All Time." Surely in his years of education and debate with mainstream academia, he should be able to answer two questions I have. Two very simple ones, mind you. But first, some background.
>
> John Gabriel adheres to some form of mathematical platonism. That is, he believes there exist concepts outside of thinking minds, and some of these concepts are mathematical objects that we formalize into a system of mathematics. He can correct me if I am wrong. The details are not relevant. My first challenge to John Gabriel is a formal proof of the existence of mind independent concepts. I have yet to encounter such a proof, seeing as I am still a physicalist. If John fails to prove the existence of mind independent concepts, his platonist view collapses, as well as the notion of "well formed concepts" and "perfect platonic form."
>
> My second challenge regards the Fundamental Theorem of Algebra. Per the FTA, any polynomial equation has the number of roots that is equal to the highest power of the equation. So the equation x^2 - 1 = 0 has two roots, +1 and -1. My challenge to John is to tell me how many roots the equation x^2 + 9 = 0 have. If he adheres to the FTA, he must answer to. Which begins my next challenge: what are they? He rejects the existence of complex numbers. If he didn't, the solutions would be 3i and -3i. But since he doesn't, what does he believe the roots are?
>
> That will be all for today. It is open to all those who wish to respond.
>
> tl;dr - a challenge to John Gabriel to prove the existence of mind independent concepts and to find the roots of x^2 + 9 = 0

1. Proof that noumena are perfect concepts independent of the human mind is very easy. It's done by rational thinking.

The constant pi would be the same no matter who tries to measure a circle's periphery using its diameter as unit of measure.

2. x^2 + 9 = 0

Has no roots or zeroes or solution. In order to have roots, by definition, the curve must meet the x-axis. x^2 + 9 lies entirely above the x-axis, therefore it has no roots.

A root is a point of intersection with the x-axis.

On Friday, 20 August 2021 at 15:40:08 UTC-4, Chris M. Thomasson wrote:
> On 8/18/2021 4:00 PM, Chris M. Thomasson wrote:
> > On 8/18/2021 2:29 PM, Darius Blackcloud wrote:
> >> Hello all. I have been following some of the threads on this group for
> >> some time now, and have decided that I want to issue an open challenge
> >> to the "Greatest Mathematician of All Time." Surely in his years of
> >> education and debate with mainstream academia, he should be able to
> >> answer two questions I have. Two very simple ones, mind you. But
> >> first, some background.
> >>
> >> John Gabriel adheres to some form of mathematical platonism. That is,
> >> he believes there exist concepts outside of thinking minds, and some
> >> of these concepts are mathematical objects that we formalize into a
> >> system of mathematics. He can correct me if I am wrong. The details
> >> are not relevant. My first challenge to John Gabriel is a formal proof
> >> of the existence of mind independent concepts. I have yet to encounter
> >> such a proof, seeing as I am still a physicalist. If John fails to
> >> prove the existence of mind independent concepts, his platonist view
> >> collapses, as well as the notion of "well formed concepts" and
> >> "perfect platonic form."
> >>
> >> My second challenge regards the Fundamental Theorem of Algebra. Per
> >> the FTA, any polynomial equation has the number of roots that is equal
> >> to the highest power of the equation. So the equation x^2 - 1 = 0 has
> >> two roots, +1 and -1. My challenge to John is to tell me how many
> >> roots the equation x^2 + 9 = 0 have. If he adheres to the FTA, he must
> >> answer to. Which begins my next challenge: what are they? He rejects
> >> the existence of complex numbers. If he didn't, the solutions would be
> >> 3i and -3i. But since he doesn't, what does he believe the roots are?
> >>
> >> That will be all for today. It is open to all those who wish to respond.
> >>
> >> tl;dr - a challenge to John Gabriel to prove the existence of mind
> >> independent concepts and to find the roots of x^2 + 9 = 0
> >>
> >
> > He does not seem to know right from left.
> He had mirroring turned on, and I failed to see that. Sorry.

Nonsense. There is no setting on my software that turns mirroring on or off.

You failed in every respect because you do not understand how cameras or mirrors work. All these things were explained to you.

On Wednesday, 18 August 2021 at 17:29:58 UTC-4, Darius Blackcloud wrote:
> Hello all. I have been following some of the threads on this group for some time now, and have decided that I want to issue an open challenge to the "Greatest Mathematician of All Time." Surely in his years of education and debate with mainstream academia, he should be able to answer two questions I have. Two very simple ones, mind you. But first, some background.
>
> John Gabriel adheres to some form of mathematical platonism. That is, he believes there exist concepts outside of thinking minds, and some of these concepts are mathematical objects that we formalize into a system of mathematics. He can correct me if I am wrong. The details are not relevant. My first challenge to John Gabriel is a formal proof of the existence of mind independent concepts. I have yet to encounter such a proof, seeing as I am still a physicalist. If John fails to prove the existence of mind independent concepts, his platonist view collapses, as well as the notion of "well formed concepts" and "perfect platonic form."
>
> My second challenge regards the Fundamental Theorem of Algebra. Per the FTA, any polynomial equation has the number of roots that is equal to the highest power of the equation. So the equation x^2 - 1 = 0 has two roots, +1 and -1. My challenge to John is to tell me how many roots the equation x^2 + 9 = 0 have. If he adheres to the FTA, he must answer to. Which begins my next challenge: what are they? He rejects the existence of complex numbers. If he didn't, the solutions would be 3i and -3i. But since he doesn't, what does he believe the roots are?
>
> That will be all for today. It is open to all those who wish to respond.
>
> tl;dr - a challenge to John Gabriel to prove the existence of mind independent concepts and to find the roots of x^2 + 9 = 0

The FTA can be stated quite easily without the rot of complex numbers:

Any polynomial in n has at most n roots that may be rational numbers or incommensurable magnitudes.

Simple as this.

On Friday, 20 August 2021 at 19:02:40 UTC-4, Eram semper recta wrote:
> On Wednesday, 18 August 2021 at 17:29:58 UTC-4, Darius Blackcloud wrote:
> > Hello all. I have been following some of the threads on this group for some time now, and have decided that I want to issue an open challenge to the "Greatest Mathematician of All Time." Surely in his years of education and debate with mainstream academia, he should be able to answer two questions I have. Two very simple ones, mind you. But first, some background.
> >
> > John Gabriel adheres to some form of mathematical platonism. That is, he believes there exist concepts outside of thinking minds, and some of these concepts are mathematical objects that we formalize into a system of mathematics. He can correct me if I am wrong. The details are not relevant. My first challenge to John Gabriel is a formal proof of the existence of mind independent concepts. I have yet to encounter such a proof, seeing as I am still a physicalist. If John fails to prove the existence of mind independent concepts, his platonist view collapses, as well as the notion of "well formed concepts" and "perfect platonic form."
> >
> > My second challenge regards the Fundamental Theorem of Algebra. Per the FTA, any polynomial equation has the number of roots that is equal to the highest power of the equation. So the equation x^2 - 1 = 0 has two roots, +1 and -1. My challenge to John is to tell me how many roots the equation x^2 + 9 = 0 have. If he adheres to the FTA, he must answer to. Which begins my next challenge: what are they? He rejects the existence of complex numbers. If he didn't, the solutions would be 3i and -3i. But since he doesn't, what does he believe the roots are?
> >
> > That will be all for today. It is open to all those who wish to respond..
> >
> > tl;dr - a challenge to John Gabriel to prove the existence of mind independent concepts and to find the roots of x^2 + 9 = 0
> The FTA can be stated quite easily without the rot of complex numbers:
>
> Any polynomial in n has at most n roots that may be rational numbers or incommensurable magnitudes.

The above statement includes no roots at all.

>
> Simple as this.

Eram semper recta wrote:

>> > tl;dr - a challenge to John Gabriel to prove the existence of mind
>> > independent concepts and to find the roots of x^2 + 9 = 0
>> The FTA can be stated quite easily without the rot of complex numbers:
>>
>> Any polynomial in n has at most n roots that may be rational numbers or
>> incommensurable magnitudes.
>
> The above statement includes no roots at all.

idiot, cretin, wanker. You are literary a fruitcake.

On 8/20/2021 3:56 PM, Eram semper recta wrote:
> On Friday, 20 August 2021 at 15:40:08 UTC-4, Chris M. Thomasson wrote:
>> On 8/18/2021 4:00 PM, Chris M. Thomasson wrote:
>>> On 8/18/2021 2:29 PM, Darius Blackcloud wrote:
>>>> Hello all. I have been following some of the threads on this group for
>>>> some time now, and have decided that I want to issue an open challenge
>>>> to the "Greatest Mathematician of All Time." Surely in his years of
>>>> education and debate with mainstream academia, he should be able to
>>>> answer two questions I have. Two very simple ones, mind you. But
>>>> first, some background.
>>>>
>>>> John Gabriel adheres to some form of mathematical platonism. That is,
>>>> he believes there exist concepts outside of thinking minds, and some
>>>> of these concepts are mathematical objects that we formalize into a
>>>> system of mathematics. He can correct me if I am wrong. The details
>>>> are not relevant. My first challenge to John Gabriel is a formal proof
>>>> of the existence of mind independent concepts. I have yet to encounter
>>>> such a proof, seeing as I am still a physicalist. If John fails to
>>>> prove the existence of mind independent concepts, his platonist view
>>>> collapses, as well as the notion of "well formed concepts" and
>>>> "perfect platonic form."
>>>>
>>>> My second challenge regards the Fundamental Theorem of Algebra. Per
>>>> the FTA, any polynomial equation has the number of roots that is equal
>>>> to the highest power of the equation. So the equation x^2 - 1 = 0 has
>>>> two roots, +1 and -1. My challenge to John is to tell me how many
>>>> roots the equation x^2 + 9 = 0 have. If he adheres to the FTA, he must
>>>> answer to. Which begins my next challenge: what are they? He rejects
>>>> the existence of complex numbers. If he didn't, the solutions would be
>>>> 3i and -3i. But since he doesn't, what does he believe the roots are?
>>>>
>>>> That will be all for today. It is open to all those who wish to respond.
>>>>
>>>> tl;dr - a challenge to John Gabriel to prove the existence of mind
>>>> independent concepts and to find the roots of x^2 + 9 = 0
>>>>
>>>
>>> He does not seem to know right from left.
>> He had mirroring turned on, and I failed to see that. Sorry.
>
> Nonsense. There is no setting on my software that turns mirroring on or off.
>
> You failed in every respect because you do not understand how cameras or mirrors work. All these things were explained to you.
>

On your video here:

You had mirroring turned on because the patch is over your right eye,
you point at it... And say its on your right eye. The pointing and patch
are over the right hand side of the rendered scene:

https://youtu.be/zxfUn_iAM7U

So, setting or not, it is mirroring you.

On 8/20/2021 3:55 PM, Eram semper recta wrote:
> On Wednesday, 18 August 2021 at 17:29:58 UTC-4, Darius Blackcloud wrote:
>> Hello all. I have been following some of the threads on this group for some time now, and have decided that I want to issue an open challenge to the "Greatest Mathematician of All Time." Surely in his years of education and debate with mainstream academia, he should be able to answer two questions I have. Two very simple ones, mind you. But first, some background.
>>
>> John Gabriel adheres to some form of mathematical platonism. That is, he believes there exist concepts outside of thinking minds, and some of these concepts are mathematical objects that we formalize into a system of mathematics. He can correct me if I am wrong. The details are not relevant. My first challenge to John Gabriel is a formal proof of the existence of mind independent concepts. I have yet to encounter such a proof, seeing as I am still a physicalist. If John fails to prove the existence of mind independent concepts, his platonist view collapses, as well as the notion of "well formed concepts" and "perfect platonic form."
>>
>> My second challenge regards the Fundamental Theorem of Algebra. Per the FTA, any polynomial equation has the number of roots that is equal to the highest power of the equation. So the equation x^2 - 1 = 0 has two roots, +1 and -1. My challenge to John is to tell me how many roots the equation x^2 + 9 = 0 have. If he adheres to the FTA, he must answer to. Which begins my next challenge: what are they? He rejects the existence of complex numbers. If he didn't, the solutions would be 3i and -3i. But since he doesn't, what does he believe the roots are?
>>
>> That will be all for today. It is open to all those who wish to respond.
>>
>> tl;dr - a challenge to John Gabriel to prove the existence of mind independent concepts and to find the roots of x^2 + 9 = 0
>
> 1. Proof that noumena are perfect concepts independent of the human mind is very easy. It's done by rational thinking.
>
> The constant pi would be the same no matter who tries to measure a circle's periphery using its diameter as unit of measure.
>
> 2. x^2 + 9 = 0
>
> Has no roots or zeroes or solution. In order to have roots, by definition, the curve must meet the x-axis. x^2 + 9 lies entirely above the x-axis, therefore it has no roots.
>
> A root is a point of intersection with the x-axis.
>

What about the two roots I found wrt:

x^2 + 9 = 0

x^2 = -9

The first solution is the sqrt of -9. The second one can be obtained by
negating the first solution so, -sqrt(-9).

Therefore, the two roots are:

(0+3i)^2 + 9 = 0
(0-3i)^2 + 9 = 0

Did I miss something?

On Friday, 20 August 2021 at 21:56:35 UTC-4, Chris M. Thomasson wrote:
> On 8/20/2021 3:56 PM, Eram semper recta wrote:
> > On Friday, 20 August 2021 at 15:40:08 UTC-4, Chris M. Thomasson wrote:
> >> On 8/18/2021 4:00 PM, Chris M. Thomasson wrote:
> >>> On 8/18/2021 2:29 PM, Darius Blackcloud wrote:
> >>>> Hello all. I have been following some of the threads on this group for
> >>>> some time now, and have decided that I want to issue an open challenge
> >>>> to the "Greatest Mathematician of All Time." Surely in his years of
> >>>> education and debate with mainstream academia, he should be able to
> >>>> answer two questions I have. Two very simple ones, mind you. But
> >>>> first, some background.
> >>>>
> >>>> John Gabriel adheres to some form of mathematical platonism. That is,
> >>>> he believes there exist concepts outside of thinking minds, and some
> >>>> of these concepts are mathematical objects that we formalize into a
> >>>> system of mathematics. He can correct me if I am wrong. The details
> >>>> are not relevant. My first challenge to John Gabriel is a formal proof
> >>>> of the existence of mind independent concepts. I have yet to encounter
> >>>> such a proof, seeing as I am still a physicalist. If John fails to
> >>>> prove the existence of mind independent concepts, his platonist view
> >>>> collapses, as well as the notion of "well formed concepts" and
> >>>> "perfect platonic form."
> >>>>
> >>>> My second challenge regards the Fundamental Theorem of Algebra. Per
> >>>> the FTA, any polynomial equation has the number of roots that is equal
> >>>> to the highest power of the equation. So the equation x^2 - 1 = 0 has
> >>>> two roots, +1 and -1. My challenge to John is to tell me how many
> >>>> roots the equation x^2 + 9 = 0 have. If he adheres to the FTA, he must
> >>>> answer to. Which begins my next challenge: what are they? He rejects
> >>>> the existence of complex numbers. If he didn't, the solutions would be
> >>>> 3i and -3i. But since he doesn't, what does he believe the roots are?
> >>>>
> >>>> That will be all for today. It is open to all those who wish to respond.
> >>>>
> >>>> tl;dr - a challenge to John Gabriel to prove the existence of mind
> >>>> independent concepts and to find the roots of x^2 + 9 = 0
> >>>>
> >>>
> >>> He does not seem to know right from left.
> >> He had mirroring turned on, and I failed to see that. Sorry.
> >
> > Nonsense. There is no setting on my software that turns mirroring on or off.
> >
> > You failed in every respect because you do not understand how cameras or mirrors work. All these things were explained to you.
> >
> On your video here:
>
> You had mirroring turned on because the patch is over your right eye,
> you point at it... And say its on your right eye. The pointing and patch
> are over the right hand side of the rendered scene:
>
> https://youtu.be/zxfUn_iAM7U
>
> So, setting or not, it is mirroring you.

That's what I told you. Now would you shut up about this already!!! FFS.