Can someone help me in the right direction with this proof

MHB
Thread starter WJMeyer
Start date Jul 13, 2020
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Direction Proof

In summary, a proof is a means of demonstrating the validity of a statement or claim in mathematics or science. To start a proof, one must clearly state the theorem or statement and identify given information. There are two types of proofs, direct and indirect, which involve using known facts and logical reasoning, or assuming the opposite and showing a contradiction, respectively. Common proof strategies include using definitions, axioms, and previously proven theorems, as well as techniques like induction, contradiction, and contrapositive. A proof is considered complete when all necessary steps have been taken to logically support the statement being proven.

Jul 13, 2020

WJMeyer

A square table of size 1001x1001 is filled with the numbers 1; 2; 3; ... ; 1001 in such a way that in every row
and every column all those numbers appear. If the table is symmetric with respect to one of its diagonals,
prove that in this diagonal all of the numbers 1; 2; 3; ... ; 1001 appear.

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Jul 13, 2020

WJMeyer

Nevermind I got it:)

Related to Can someone help me in the right direction with this proof

1. What is the purpose of a proof in science?

A proof is a logical and systematic demonstration of the validity of a statement or theory. It is used to provide evidence and support for a claim or idea, and is an essential part of the scientific method.

2. How do I know if my proof is correct?

A proof is considered correct if it follows a logical and consistent argument, uses valid evidence and assumptions, and can be replicated by others. It is important to carefully review and check each step of the proof to ensure its accuracy.

3. What should I do if I am stuck on a proof?

If you are struggling with a proof, it can be helpful to consult with other scientists or experts in the field. They may be able to offer insights or suggestions that can guide you in the right direction. It is also important to take breaks and approach the problem with a fresh perspective.

4. Are there specific techniques or strategies for writing a proof?

There are various techniques and strategies that can be used when writing a proof, such as using mathematical notation, breaking down the problem into smaller steps, and providing clear explanations for each step. It is important to find a method that works best for you and to practice and refine your skills.

5. Can a proof be considered absolute truth?

A proof can provide strong evidence and support for a statement or theory, but it is not necessarily absolute truth. Scientific knowledge is constantly evolving and can be revised or disproven with new evidence or discoveries. Therefore, a proof should always be open to scrutiny and further investigation.