I guess we do disagree, because I would expect the Mathmatics skill to be able to help me track the differences between a Babylonian Mathmatician and a modern Mathmatician.
If the skill doesn't track that difference, then what game mechanic would cover that issue?
Metalsmithing is another example of where I would expect the SKILL level to help differentiate between the blacksmith that only knows how to work in Copper and Bronze from the one that can work Iron or even Stainless Steel. Working all of those metals would be covered by the same skill. So using your concepts, how would I be able to differentiate them?
I understand your idea of using the Basic, Seasoned, Veteran and Hero skill amounts, but that puts it right back into skill level deciding what you can work as well has how good you are at it.
When all the technologies are about the same, I agree that this sort of hair-splitting is not needed, but in my setting, I have one culture that has just discovered gunpowder, so they are working with a higher level of skills in several areas compared to the stone-age hunter-gatherers on the next land mass over.
To use a real-world example - The blacksmith that came to South America with Cortez and the local blacksmiths for the Incas... How do you differentiate their abilities to work iron (Cortez's man) and only Copper and Gold (Incas)?
I really hope you can help me figure this out, because I am stumped... I REALLY don't want to add a whole "Tech Level" thing to my game ala Traveller or whatever, but I need a way to say "You don't know how to work Iron because your XXX is not YYY".
Thanks!