/sci/ - Science & Math » Thread #13598977

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fundamental dream of algebra

Anonymous Fri 03 Sep 14:47:42 2021 No.13598977 View Reply Original Report

Quoted By: >>13599341 >>13599390 >>13600141 >>13601597

you now have 10 seconds to justify why we even attempt to 'teach' the FTA in high school when it is an eternal cope to equations not having exact solutions.

Hell you cant even understand the proof unless you already know discs and group theory

Anonymous

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Anonymous Fri 03 Sep 2021 16:20:16 No.13599341 Report

Quoted By:

>>13598977
checked

Anonymous

Anonymous Fri 03 Sep 2021 16:32:31 No.13599390 Report

Quoted By:

>>13598977
It is a good point to not teach it in high school because they don't effectively convey shit either in class or in the watered down shit books.

Anonymous

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Anonymous Fri 03 Sep 2021 19:32:30 No.13600141 Report

Quoted By: >>13600196 >>13600223

>>13598977
Am I missing something?

Anonymous

Anonymous Fri 03 Sep 2021 19:46:31 No.13600196 Report

Quoted By: >>13600240

>>13600141
I checked out the video and the comment section. The challenge is to find an exact root, not an approximation (good luck with that). He rejects all proofs that the root exists, because they rely on facts he judges to be unproven (like completeness of real numbers). He's nuts by all reasonable standards, but he's consistent.

Anonymous

Anonymous Fri 03 Sep 2021 19:58:08 No.13600223 Report

Quoted By: >>13601046

>>13600141
he doesn't accept real numbers

Anonymous

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Anonymous Fri 03 Sep 2021 20:06:49 No.13600240 Report

Quoted By: >>13601046

>>13600196
> He's nuts by all reasonable standards,
he taught mathematics for 3 decades at the university level

he sees the mathematical garb

Anonymous

Anonymous Sat 04 Sep 2021 02:22:54 No.13601046 Report

Quoted By: >>13601053 >>13601226

>>13600223
>>13600240
what's wrong with sequences and limits as conceptual tools?

Anonymous

Anonymous Sat 04 Sep 2021 02:28:26 No.13601053 Report

Quoted By:

>>13601046
He believes that there are other conceptual tools that would be just as effective as limits, etc., could be definable without relying on all the ontologically questionable (in his mind) concept of infinity, and we just have to do a little more exploring to find them.

Anonymous

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Anonymous Sat 04 Sep 2021 03:50:55 No.13601226 Report

Quoted By: >>13601261

>>13601046
If we forget for a moment, the obvious engineering and computational requirements of having numbers that can actually exist in a computers memory banks, or on a wooden ruler. Appeals to infinite iteration, while perhaps conceptually interesting, have their own limits. As here, going infinite fractal zoom on the root will yield a constantly shifting place in the number line. Its not defined, we'll never get there, the fundamental theorem of algebra has become an ornamental theorem of algebra. What does it even mean to plot this function over the x-axis, how many have been confused over the existence of this root claiming it is a defined value?

If mathematics searches for universal principles in information, it is not found here in infinite iteration

Anonymous

Anonymous Sat 04 Sep 2021 04:07:30 No.13601261 Report

Quoted By: >>13601537

>>13601226
Whew boy, that's a lot of claims. How about backing them up with some evidence or logic.

Anonymous

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Anonymous Sat 04 Sep 2021 06:45:31 No.13601537 Report

Quoted By: >>13601562

>>13601261
> Draw me a line of sqrt(2)
> subtract float(1.2) - float(1.1) and have 0.1 exactly
protip: you can't

Now try to find the root of that polynomial, and prove that this non-constant, single-variable polynomial with complex coefficients has at least one complex root
protip you'll never find enough precision in the universe to find it

It is obvious to anyone who has to build in physical reality with numbers, but those forced to remain in the realm of thinking about math, do not see a distinction

Anonymous

Anonymous Sat 04 Sep 2021 06:58:08 No.13601562 Report

Quoted By: >>13602940

>>13601537
>> Draw me a line
Oh my god, you literally can't do it, so therefore lines don't exist.
y=mx+b?
Sorry, but lines don't exist, you can't fool me with your Jewish mathematics tricks.
>Exactly find some value that was found to some approximation
How stupid are you?
>Now try to find the root of that polynomial, and prove that this non-constant, single-variable polynomial with complex coefficients has at least one complex root
I'll find all five roots; they are the elements of the set roots of (x^5-2x+3). Oh, wow, I did it. And I didn't even need to use that Jewish infinity quackery. Now that you bring up this schizo infinity dogshit of complex (((numbers))), since the algebraic numbers can be imbedded in the complex numbers, it follows that the polynomial has at least one complex root.

Anyone braindead enough to think that the algebraic numbers can't be represented but will still use polynomials ought to be put down.

Anonymous

Anonymous Sat 04 Sep 2021 07:16:23 No.13601597 Report

Quoted By:

>>13598977
Type theory proves that the argument is moot on both sides.

The description of a sequence is finite, and having to wait for the computation of its elements (on demand) would please even the most fervent ultrafinitist schizo.
Coinduction to prove properties of sequences is undisputable as it is just proving the behaviour of some programs (a finite series of instructions).

But he's right in finding more concrete tools to express the same things.

Anonymous

Anonymous Sat 04 Sep 2021 16:16:08 No.13602940 Report

Quoted By:

>>13601562
your hubris will limit your achievements in mathematics

Anonymous

Anonymous Sat 04 Sep 2021 17:22:59 No.13603162 Report

Quoted By:

stop it
>>13599154
>>13599352

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