So we can discuss precisely: how do you define dimensionless? There are well-accepted definitions, I’m just asking you to lay it out so we can refer to it speci

So we can discuss precisely: how do you define dimensionless? There are well-accepted definitions, I’m just asking you to lay it out so we can refer to it specifically. Ratios in which the numerator and the denominator have the same unit are only dimensionless if you decide to apply the division and cancel the common unit. If you do this cancellation, and you forget/hide the semantic role of numerator and denominator, you will indeed get mistakes. Part of the issue is being able to capture enough semantic role to be useful. That’s usually ignored in units discussions.