Clarissa: The natural sciences would not have made such progress but for the power of mathematics.
Clarissa's 1st Claim
The natural sciences wouldn't have made such progress without the power of math. Does Myungsook disagree? Is he saying that natural sciences would have made this progress even without math?
Not really. It doesn't seem like M's directly addressing how much progress natural science would / wouldn't have made.
Clarissa's 2nd Claim
No observation is worth serious attention unless it is stated precisely in quantitative terms. Does Myungsook disagree? Is he saying that even if something isn't yet stated precisely in quantitative terms, an observation could still be worthy of serious attention?
Yes, M does seem to be saying that. M's saying 1st you "explore" the observations themselves (you give them serious attention). Stating them precisely in quantitative terms is the last task. So M thinks that observations can be worthy of serious attention, even before they're converted precisely to numbers.
Goal
Let's look for something like Clarissa's 2nd claim: whether or not you have to wait until something is stated precisely in quantitative terms in order to find it worthy of serious attention, or if it's worth exploring before it's been converted to numbers.