I don't think we should completely abandon high-level words when conflict arises. Instead, we should focus on isolating where our disagreement lies. In this way

I don't think we should completely abandon high-level words when conflict arises. Instead, we should focus on isolating where our disagreement lies. In this way, we will identify when a particular word is being used differently and can de-reference that. This allows us to continue to get the benefits of high level language, and continues to work when 'medium level' language causes disagreement. Also, I have found that it is often easier to first describe an idea using high level language, then clarify what you mean. For example, even if we disagree on exactly what 'fair' means, by first describing my idea using the word 'fair', I give you a rough outline of my idea that provides context when I describe it using lower level language.