I had the prior understanding from my brief study with Euler that magnitude was any kind of quantity. However, Nicomachus makes it extremely clear that magnitude is what can be measured, and multitude is what can be counted. Learning that distinction, has done something to my mind that I am struggling to explain. When I see a tree, I am contemplating its wholeness, its completeness, and its size. Yet, when my field of view takes in the forest, my mind switches from this lens to one concerned with multitude. Then I find myself dumbfounded by the number of trees that are actually in this forest, and if the quantity could ever be known by a single man. This is fascinating, and I’m really curious to know if both these will be covered in this treatise or one of them.
EAR