Yeah, math wikipedia is pretty egregious. It's not even that it's for a technical audience, it's more like it's for an audience who already knows the thing. Or it's just someone trying to show off how much jargon they can use to define a thing.

But it can be fixed! Look at the opening paragraph of Field_(mathematics) from 2015

In abstract algebra, a field is a nonzero commutative ring that contains a multiplicative inverse for every nonzero element, or equivalently a ring whose nonzero elements form an abelian group under multiplication. As such it is an algebraic structure with notions of addition, subtraction, multiplication, and division satisfying the appropriate abelian group equations and distributive law. The most commonly used fields are the field of real numbers, the field of complex numbers, and the field of rational numbers, but there are also finite fields, fields of functions, algebraic number fields, p-adic fields, and so forth.

What the fuck is that, right?

And the version now:

In mathematics, a field is a set on which addition, subtraction, multiplication, and division are defined and behave as the corresponding operations on rational numbers do. A field is thus a fundamental algebraic structure that is widely used in algebra, number theory, and many other areas of mathematics.