A Concise and Direct Proof of "Fermat's Last Theorem"
Authors: Roger Ellman (The-Origin Foundation, Inc)
Comments: 4 pages. Changes are correction of typographical errors and clearer presentation of latter part.
Subj-class: General Mathematics
The recently developed proof of Fermat's Last Theorem is very lengthy and difficult, so much so as to be beyond all but a small body of specialists. While certainly of value in the developments that resulted, that proof could not be, nor was offered as being, possibly the proof Fermat had in mind. The present proof being brief, direct and concise is a candidate for being what Fermat had in mind. It is also completely accessible to anyone trained in common algebra. That critical suggestions offered by significant mathematics authorities have been unable to invalidate this concise and direct proof would tend to be major confirmation that: The proof stands, valid and not validly challenged.
matt grime said:Apart from the fact it is incredibly badly written, surely the fact that they don't prove that the alleged pattern actually continues should make you slightly suspicious.
page 2 step 5 is also rubbish, since there is no reason that b is independent of x, when it clearly isn't. that do you for starters?
The validity of a proof is determined by whether or not it follows the rules of logic and accurately supports its conclusion. A valid proof must have a logical structure, clear definitions and assumptions, and use valid reasoning to reach a conclusion.
A proof can be considered invalid if it contains errors in its logic, incorrect assumptions, or lacks sufficient evidence to support its conclusion. Additionally, a proof that relies on faulty or biased data is also considered invalid.
In most cases, it is impossible to prove a proof to be 100% valid. This is because it is always possible for new evidence or information to be discovered that may change the validity of the proof. However, a proof can be considered valid within a certain context or for a specific set of assumptions.
Peer review is a crucial step in validating a proof. It involves having other experts in the same field review the proof for accuracy, logic, and validity. This helps to identify any errors or flaws in the proof and ensures that it meets the standards of the scientific community.
To increase the validity of a proof, it is important to use reliable data, clearly define all terms and assumptions, and use sound logical reasoning. It is also important to have the proof reviewed by peers and to consider any potential counterarguments that may weaken the proof's validity.