For me I never bother with the skill as taking any of the technical and science skills never state the need of math - so I assume they include the mathematics needed to perform the tasks they say they can.
Me too
Hard to learn does in my world imply some combination of high DP costs
To finish the discussion I have during my studies visited two universities, one with focus on theorem proofs and one with more "applied math" focus so I am very familiar with the idea that differing teaching methods give different "skills". I just don't think that the difference is significant enough to matter in an abstract game like RM. The capability of the two approaches is very close if enough time is given.
Yes, that is more reason for not join, you see in more detail how is not possible to have the whole knowledge in only 1 skill, and more if this one is basic. Think that basic math is relative cheap, so the adv. math concep (the skill) is for complex knowledge. Maybe using university as example is not good, maybe using these is better:
- Basic math: maths for all.
- Adv. math: math for mathematicians.
These 2 ranges are dependant of each one, so in old greek age adv. could be trigonometry (as those theorems was made in that age) and in today age trigonometry is in basic maths.
Then determine your ranges.
As you say there could me more than 2 skills, but this is in this way for all skills (in real life there are many and many disciplines), so we need to abstract it for game, maybe the case you talk about (
one with focus on theorem proofs and one with more "applied math" focus so I am very familiar with the idea that differing teaching methods give different "skills") can be translated to game as specializations for adv. maths, it is usual to use specializations for this as are expensive skills.
Anyway I think if other disciplines like physics or chemistry (alchemy in medieval game) are their own skills, "deep knowledge" of maths should have its own too, as any other specialized science. Can have its version "for all"?, yes, the basic maths, we learn maths since childhood, right?, and is the ambientation what determines your
basic and your
advanced.