>>16684044
You can't "express" something if your number system doesn't allow it.

You're probably right, and I'm just gonna give you this one, but no where in this is proof that something can be expressed rationally.

Show me the formula or proof that 3.747234235 is rational or rational because it can or can't be expressed by a ratio of two integers.

Also, this is a genuine question, but what is the point of defining something as exactly two integers instead of a chain of ratios? (3 / 7 / 43) if the integers can be infinitely large?
Because it feels like you can produce any number by pulling two numbers out of your ass and creating a ratio out of them. I don't know how.