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No. I just do not behave as if they were tiny little creatures. In most cases, they are real numbers ##\left. \dfrac{dy}{dx}\right|_{x=x_0}## and in the rest of the cases they are differential forms or basis vectors.I'm just curious: how do you make physics without infinitesimal quantities? do you have another way?

I love Weierstraß's formula for derivatives: ##f(x+v)=f(x)+D_x(f)\cdot v + o(v).## No tiny little creastures necessary except for the remainder function.