Is a used proof coin with scratches better than a perfect condition uncirculated coin?

but some may be true for apple a and not true for apple b.

How then do you answer your question?

 

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Neither statement is true. They're both too general.

 

They are not the same. Money is a tangible asset. Better or worse is subjective.
I'm asking if a dog is worth more than a cat.
Then in majority of the cases, dogs will be worth more than cats.

 

I just need an approximation.
The reason being that there is very scare info on the coins I'm trying to collect.

 

That's actually logically impossible.

If a's on average are worth more than b's, then most a's would be worth more than most b's.

 

Except apples and oranges are commodities. Coins are collectibles or currency. So there is no blanket statement that can be made regarding your question. A PF69 silver eagle is worth less than a AG3 Carson City coin. A PF60 Morgan Dollar is worth more than an MS70 silver eagle. You want the world to be one way but it's the other way.

 

Then we'll go with neither is correct. Money is tangible but coin values are relative. Even in the same MS 65 grade, two coins can be worth different amounts.

 

Dear OP, as you may have noticed, what you believed to be a simple question is too general to be answered without going into specifics.

What you probably should get out of all the answers is it depends on the coin's date, type, and condition. A simple look in a Redbook (which you should have) will confirm this.

However, based on the way you posted your question - a perfect MS-70 versus an impaired Proof - IMO most would take the Perfect coin (1796 MS-70 25C rather than a proof)*

* 1913 Liberty nickel is possibly an exception.

One thing here I should like to correct is the statement above. A heavily hairlined Proof is/was/will always be IMPAIRED!

 

But even the question of a dog being worth more than a cat can't be answered. Even still, to some people their dog or cat is priceless.

This isn't an SAT test. You're using equivocation. Averages don't help your situation, and neither will medians. There are too many variables to make a blanket statement like that.

 

Look, think what you want. You know what I'm looking for in terms of answers, so if you don't have an answer, then I'm not really too interested in what you have to say.

 

If you had asked if a certain series proof was worth more than its MS counterpart, that is easily answered. But you basically posited an unanswerable question because it was too vague.

 

"This statement is false."

Symbolic logic isn't up to the challenge of natural-language statements -- especially not ones containing ill-defined terms.

 

I tried to explain rationally that your question cannot be answered. This is not opinion. You are not interested in what I have to say because you are stubborn.

 

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Ok. I'll define my terms. Worth - in terms of money.

 

Those terms have been established, it's the other terms that are missing. You are asking people to make a definitive statement with a dearth of data.

 

So if i could give you all the PF coins in the world vs all the MS coins in the world, which you rather have?
There is an answer to the question. It's not an easy answer as you have to know the average PF coin vs the average MS coin.

 

Ok. Average PF coin vs Average MS coin.

 

I'm glad I'm teaching you something.

 

Like I said, averages won't really help you, it would be misleading data. I'm sure if someone bothered to tally ALL the values of MS vs. proof coins, you would have an arbitrary winner. But this would not be a general rule, which is what we are trying to explain.