been proved or has proved

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ostap77

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"It's been proved that this method gives the most reliable results."

OR

"This method has proved to give the most reliable results."

Would it have a difference in meaning ?
 
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Abstract Idea

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"It's been proved that this method gives the most reliable results."

OR

"This method has proved to give reliable results."

Would it have a difference in meaning ?

Depending on the context, they can mean the same.

But in some contexts there is a difference between them:

#1 Someone 'outside the method,' by means of some 'tools', has proved that it gives the most reliable results. The proof did not rely on the method itself, but rather on other 'external' ones.

#2 The usage of the method itself has proved to give the most reliable results.
You have used the method many times and, by inspection and by direct comparison with other methods it is clear that it produced the most reliable results.

PS1: I assumed in #2 you also meant the most reliable.
PS2: This is just an interpretation, it sure will depend on the context. For example it is not strictly necessary that in #2 the method was used many times.
 
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ostap77

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Depending on the context, they can mean the same.

But in some contexts there is a difference between them:

#1 Someone 'outside the method,' by means of some 'tools', has proved that it gives the most reliable results. The proof did not rely on the method itself, but rather on other 'external' ones.

#2 The usage of the method itself has proved to give the most reliable results.
You have used the method many times and, by inspection and by direct comparison with other methods it is clear that it produced the most reliable results.

PS1: I assumed in #2 you also meant the most reliable.
PS2: This is just an interpretation, it sure will depend on the context. For example it is not strictly necessary that in #2 the method was used many times.

But we can't do research without tools, can we? So the method can not prove itself.
 

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But we can't do research without tools, can we? So the method can not prove itself.

It all depends on the context.

Let me try to provide some context:

Suppose you have a numerical method for solving a certain type of equation.
You use it in some situations which you already know the exact solution.
The you compare the results of the method with the exact solutions and,
depending on the situation, you may say This method has proved to give reliable results.

On the other hand, if someone analyzes the convergence of the method and other details, even without running it, depending on the situation, he may state:
I have proved that this method gives reliable results.
 
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