Alright, my area is not physics, but one thing annoys me: does it still make sense to have particles as an abstraction? I mean, in the same sense that in math,

Alright, my area is not physics, but one thing annoys me: does it still make sense to have particles as an abstraction? I mean, in the same sense that in math, at some point, you give up caring about discrete values and work with continuities instead.