Revisiting an old problem with startling new mathematical results

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In summary, the conversation revolves around a paper that claims to have proved Fermat's Last Theorem using high school algebra. The other participants in the conversation point out flaws in the logic and mathematical understanding of the author, suggesting they take basic math courses before attempting to prove such a complex theorem. The author defends their work and argues about the validity of their arguments, but ultimately the conversation is locked due to the author's lack of understanding of mathematical principles.

Choose your own question

  • Do we actually use equality testing, if only partially, when solving equations?

    Votes: 0 0.0%
  • "definitional loops," are they fixed with polynomial equations and their solutions?

    Votes: 0 0.0%
  • The math is simple. Where is the fallacy?

    Votes: 0 0.0%

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    1
  • #1
manuelsmarin
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I've got the attached paper... It's interesting, because it deal with an old complex problem is a seemingly simple form, and just using high school algebra. Check it out!

Here is the attackment:
 

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  • #2
You seem to like to set f=d. Why can you do that? Certainly f is not equal to d in general.
 
  • #3
manuelsmarin said:
I've got the attached paper... It's interesting, because it deal with an old complex problem is a seemingly simple form, and just using high school algebra. Check it out!

Here is the attackment:



You seem to believe that very trivial, old-known results are new (like that "never before known axiom or postulate", as you called it)...

I'm not even sure what you think you've proved: is is true that you believe that you've proved Fermat's Last Theorem in that paper of yours? Because if you do then, with all due respect, you're dead wrong.

I think you need to begin taking some basic mathematics courses, at least to know how to write mathematics and/or how to use logic, and then perhaps go back to your paper and, if you still think it is worthwhile, re-write it all through.

DonAntonio
 
  • #4
DonAntonio... you took too many words to reply to this. And yes, I proved the Theorem... as simple as that. Just follow the arguments and don't get excited about nothing. This is not religion or politics. Exactly where is my arguments wrong?
 
  • #5
why should we do your work for you? if you have a proof of fermat, submit it to a journal and the editor will try to find a referee willing to read it.
 
  • #6
manuelsmarin said:
Exactly where is my arguments wrong?

I showed you were it is wrong. If you're not going to reply to our comments, then this will be locked.
 
  • #7
manuelsmarin said:
Exactly where is my arguments wrong?

Statements such as
By making a = b we transformed a perfectly good equality, [2], into an inequality, [2’].
when you clearly wrote ##b = (b^2 – d^2) / 2d## the line before are not valid in mathematics. If you write an equality it is an equality. You are not allowed to retrospectively change it. As Don said, you clearly do not understand mathematical logic or the requirements of writing a paper.
 
  • #8
manuelsmarin said:
DonAntonio... you took too many words to reply to this. And yes, I proved the Theorem... as simple as that. Just follow the arguments and don't get excited about nothing. This is not religion or politics. Exactly where is my arguments wrong?



Just what I thought...but you know what? Sometimes things are SO wrong that it isn't easy to point out where "exactly" they are wong. I can tell you where you begin to go astray from logic, and mathematics, which is pretty close to the beginning, but I don't think that will do any good to anyone.

As already said, it is obvious you're not a mathematician as it is obvious you don abide neither by its logical rules nor by the standard ways to communicate mathematical ideas, so again: I think the best for you is to begin studying some basic maths and THEN, after you already know some, go back to your paper and check whether it is worthwhile to keep it as it is, to improve it, to change it...or to toss it away.

DonAntonio
 
  • #9
I had this before:

b = (a^2 - d^2) / 2d is an equality. Once I changed it to b = (b^2 - d^2) /2d I turned it into an inequality means that b ≠ (b^2 - d^2) /2d, even though the quadratic equation
b^2 - 2db - d^2 = 0 has a solution that is irrational... and here I'm talking about rational solutions.
 
  • #10
Why can you set f=d??
 
  • #11
Another thing... try the formulas. If they work, I'm doing correct math. If they don't, I'm all yours to lapidate. But don't get stuck in minucia. I'm no Newton, but if he had followed the suggestions and objections of Bishop Berkeley, we've probably have no Calculus today, if in addition, no one had understood Mr. Leibnitz own nomenclature.
 
  • #12
micromass... because f can actually be equal to d. Try this 3^2 + 4^2 = 5^2, and a = b -1 = 4 -1 =3, while c = b + 1 = 4 +1 = 5, which means tha f = d =1.
 
  • #13
manuelsmarin said:
micromass... because f can actually be equal to d.

But micromass's point is that you have not proved the case ##f\neq d##.
 
  • #14
manuelsmarin said:
micromass... because f can actually be equal to d. Try this 3^2 + 4^2 = 5^2, and a = b -1 = 4 -1 =3, while c = b + 1 = 4 +1 = 5, which means tha f = d =1.

OK, this proves you have no idea how math works. If you want your mistake, there it is. f does not have to equal d.

Thread locked. Do not post this again.
 

1. What is the significance of revisiting an old problem with new mathematical results?

Revisiting an old problem with new mathematical results can provide a fresh perspective and potentially lead to a deeper understanding of the problem. It can also help identify any flaws in previous approaches and offer new solutions or improvements.

2. How do new mathematical results impact the field of study?

New mathematical results can have a significant impact on the field of study by expanding the current knowledge and potentially opening up new areas of research. It can also challenge existing theories and drive innovation.

3. What is the process for revisiting an old problem with new mathematical results?

The process for revisiting an old problem with new mathematical results typically involves first understanding the problem and its previous solutions. Then, new ideas and approaches are explored and tested using mathematical techniques. Finally, the results are analyzed and compared to previous solutions.

4. Can revisiting an old problem with new mathematical results lead to practical applications?

Yes, revisiting an old problem with new mathematical results can lead to practical applications in various fields such as engineering, economics, and computer science. The new solutions or insights gained from the mathematical results can be applied to real-world problems and improve existing technologies.

5. Are there any limitations to revisiting an old problem with new mathematical results?

One limitation to revisiting an old problem with new mathematical results is that it may not always lead to groundbreaking discoveries or improvements. It also requires a significant amount of time and effort to fully understand and analyze the problem, which may not always be feasible. Additionally, the results may only be applicable to a specific subset of the problem, rather than providing a complete solution.

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