I'm a math nerd and love how these types of video make hyper complex mathematical concepts easy to grasp . However I'm sometimes complexed because math is so much more than just visualizing shapes and being like "wow that's cool I guess" because true mathematical understanding of things like topology and geometry is enlightening and speaks not the description of material objects but to concepts inherent to reality itself (i.e. aliens do the same math). Hope this makes sense .
i think this is more philosophy, but leibniz did talk about this phenomenon, that no matter the laws of the universe, no matter our perceptions, no matter what exists, math remains correct. you could have a universe with no time and no space and no matter in it that works completely differently, and integral calculus would still exist, because it is not bound to worldly things. which is why we study 4d geometry and unapplicable pure math, because they have no reason to not exist.
I'm a math nerd and love how these types of video make hyper complex mathematical concepts easy to grasp . However I'm sometimes complexed because math is so much more than just visualizing shapes and being like "wow that's cool I guess" because true mathematical understanding of things like topology and geometry is enlightening and speaks not the description of material objects but to concepts inherent to reality itself (i.e. aliens do the same math). Hope this makes sense .
i think this is more philosophy, but leibniz did talk about this phenomenon, that no matter the laws of the universe, no matter our perceptions, no matter what exists, math remains correct. you could have a universe with no time and no space and no matter in it that works completely differently, and integral calculus would still exist, because it is not bound to worldly things. which is why we study 4d geometry and unapplicable pure math, because they have no reason to not exist.