"after thinking very hard the mathematicians were able to classify all the different number like objects into sets"
Granted I am only going from the quote but I see nothing in there that indicates he considers them disjoint. Given most people have seen the Euler diagram of numbers since grade school i think the default interpretation would be correct. Could be clarified but not a howler.
quaternions, and octionions,
Considering the intended audience I do not see what purpose that would serve beyond intimidating the audience with how clever he is. Counter productive. This is just intro physics - the places where quaternions might be useful are just not there. And in the cases where introducing the terms actually served a purpose one would be better served by just going with the neater geometric algebra framework.
There are some helpful suggestions in some posts but it would be nice if people swapped their easily flabbergasted expert tones for a more helpful one. He has a vision and has begun acting on it. Has a good start with lots of potential. No one gets it just right from the outset.
> Given most people have seen the Euler diagram of numbers since grade school i think the default interpretation would be correct.
This kind of assumption is one reason so many textbooks suck so much. This assumption is not true for me. I don't know why you'd assume it would be true for "most people."
Granted I am only going from the quote but I see nothing in there that indicates he considers them disjoint. Given most people have seen the Euler diagram of numbers since grade school i think the default interpretation would be correct. Could be clarified but not a howler.
quaternions, and octionions,
Considering the intended audience I do not see what purpose that would serve beyond intimidating the audience with how clever he is. Counter productive. This is just intro physics - the places where quaternions might be useful are just not there. And in the cases where introducing the terms actually served a purpose one would be better served by just going with the neater geometric algebra framework.
There are some helpful suggestions in some posts but it would be nice if people swapped their easily flabbergasted expert tones for a more helpful one. He has a vision and has begun acting on it. Has a good start with lots of potential. No one gets it just right from the outset.