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mamma_mia66
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Must a valid rule of inference always lead to a true conclusion?
mamma_mia66 said:I am sorry I posted my question by mistake in Number Theory section. Please ignore it or delete it from there.
My question is: Must a valid rule of inference always lead to a true conclusion?
CompuChip said:A rule of inference is a prescription to produce a (set of) valid statement(s) from a (set of) valid statement(s).
So by definition, the answer is "yes"
So now you are saying you were lying to us by not posting this in the "homework and schoolwork" area?mamma_mia66 said:Surprise everyone. This was an extra credits question. And the answer is NO. I was disappointed too. But I really didn't understand way is NO?
Well, don't worry about it too much. I fell for it, too.mamma_mia66 said:I just wanted to know why the answer was given NO. I had my answer YES.
I apologize. You said earlier it was an extra credit problem, not just that it was in a section labled "for extra credit".mamma_mia66 said:What do you mean I was lying. This was not homework question at all. This was an supplementary exersices called for extra credits. I didn't not use this for school extra credits. I just wanted to know why the answer was given NO. I had my answer YES. I am sorry for the missunderstanding.
bettydlgc said:I got one of my logic HW questions wrong can anyone help me prove the following?
-(-P v -Q) therefore (P & Q)
Logic is a fundamental tool in proving the validity of mathematical statements. It allows us to use a set of assumptions or axioms to logically derive new conclusions.
The basic principles of logic used in proofs include the law of identity, law of non-contradiction, and law of excluded middle. These principles help ensure that the conclusions drawn from a proof are logically sound.
To construct a valid proof using logic, you must start with a set of axioms or assumptions, and then use logical reasoning to derive new conclusions based on these initial statements. Each step in the proof must follow the rules of logic and must be supported by previous statements.
Some common mistakes to avoid when using logic in proofs include circular reasoning, invalid assumptions, and fallacies such as affirming the consequent or denying the antecedent.
To improve logical reasoning skills for proofs, one can practice solving different types of logical problems, study the rules and principles of logic, and seek feedback and guidance from experienced mathematicians or logicians.