What is the difference between LET and suppose?

As commented by user2520938, I use “let” when considering an object which I suspect exists, and “suppose” when considering an object I think does not exist (so as to derive a contradiction). “Suppose √2=pq for p,q integer.”

What is the purpose of proof in mathematics?

According to Bleiler-Baxter & Pair [22], for a mathematician, a proof serves to convince or justify that a certain statement is true. But it also helps to increase the understanding of the result and the related concepts. That is why a proof also has the role of explanation.

What is the difference between direct and indirect reasoning?

The main difference between the two methods is that direct poofs require showing that the conclusion to be proved is true, while in indirect proofs it suffices to show that all of the alternatives are false. Direct proofs assume a given hypothesis, or any other known statement, and then logically deduces a conclusion.

How do you suppose in math?

Rule of thumb: Suppose is used for assuming the truth value of a statement or proposition. Let is used for assigning a mathematical value to a symbol. “Suppose N is finite” has meaning while “Let N be finite” doesn’t make sense.

Which of the following is not a difference between direct and indirect proof?

2. Which of the following is NOT a difference between direct and indirect proofs? Direct proofs involve assuming a hypothesis is true, and indirect proofs involve assuming a conjecture is false. Indirect proofs look for a contradiction to their original assumption, and direct proofs do not.

What is method of proof in discrete mathematics?

Mathematical proof is an argument we give logically to validate a mathematical statement. A statement is either true or false but not both. Logical operators are AND, OR, NOT, If then, and If and only if. Coupled with quantifiers like for all and there exists.

What makes a good proof?

A proof should be long (i.e. explanatory) enough that someone who understands the topic matter, but has never seen the proof before, is completely and totally convinced that the proof is correct.