G is a variable. It must be undefined by definition, or it is not a variable. A variable’s definition changes by context, therefore outside of context it is always undefined.
That’s why we use X instead of the number 2 in algebraic formulas. You wouldn’t say 2 − 3 = 8, solve for 2, that’s clearly stupid. You must use the undefined variable X (or any other mathematically irrelevant symbol), and then define it in context of the rest of the formula. Move X to a different formula, and it has a different definition. Isolate X without the context of a formula, and it is always undefined (X = ?).
In this instance, G is a variable without context. We aren’t making nails of a certain size, we are just talking about G and the ways G can be used to create a metric once G is known.
G is a variable. It must be undefined by definition, or it is not a variable. A variable’s definition changes by context, therefore outside of context it is always undefined.
That’s why we use X instead of the number 2 in algebraic formulas. You wouldn’t say 2 − 3 = 8, solve for 2, that’s clearly stupid. You must use the undefined variable X (or any other mathematically irrelevant symbol), and then define it in context of the rest of the formula. Move X to a different formula, and it has a different definition. Isolate X without the context of a formula, and it is always undefined (X = ?).
In this instance, G is a variable without context. We aren’t making nails of a certain size, we are just talking about G and the ways G can be used to create a metric once G is known.