I love archeology and think the artifacts should be for everyone to enjoy, there has been cases of private collectors years later donating their collections to museums and I think that is very kwel. Fossils on the other hand are fascinating and many are locked away as the finds have been too vast to display them all. So I guess, for the less significant ones at any rate, it would be okay to collect. Where I grew up as a child we use to find fossils, as the land had once been part of a river or inland sea. I remember two of them my brother found were shown to an adult who promptly fed him some BS and stole them.
My father has a lovely one near his BBQ area of a large fish, it's was in one of the boulders he used to make the retaining wall that surrounds the area, it looks awesome and is a little scary with all the teeth. I wish I had of kept some of the ones I found but it just never seemed right to me and I always put them back after I had studied them for a while. 
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courage is the art of being the only one who knows you're scared to death ..