Self-study
Clarissa: Conclusion The natural sciences would not have made such progress but for the power of mathematics. ██ ███████████ ██ █████ ███████ █████████ ██████ ██ ██ ██████ █████████ ██ ████████████ ██████
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Speaker 1 Summary
Clarissa argues that mathematics has been necessary to allow the natural sciences to progress. To support this, Clarissa says that scientific observations are only worth attention if they are stated in precise, quantitative terms. (It seems that this requires mathematics in some way.)
Speaker 2 Summary
Myungsook disagrees, and instead comes to the implied conclusion that observations can be worth serious attention even without being stated in precise quantitative terms. To support this idea, Myungsook tells us that observations can only be put in quantitative terms after being “thoroughly explored,” which would reasonably require paying attention to them.
Objective
24.
Clarissa and Myungsook's statements provide ███ ████ ███████ ███ ████████ ████ ████ ████████ █████ ███████
a
mathematics has been █ ██████ ███████████ ██████ ██ ███ ███████ ██ ███ ███████ ████████
Clarissa would agree with this claim, but Myungsook doesn’t disagree. Myungsook doesn’t state an opinion one way or the other about the importance of mathematics to the natural sciences.
b
converting observations into ████████████ █████ ██ ███████ ████
Myungsook would disagree with this, but Clarissa never states an opinion. Clarissa actually doesn’t say anything about the easiness or difficulty of converting an observation into quantitative terms.
c
not all observations ███ ██ ██████ █████████ ██ ████████████ █████
The speakers don’t talk about this. Neither Clarissa nor Myungsook mentions anything about the limitations that may exist on what observations can be stated in quantitative terms, if any.
d
successfully doing natural ███████ ███████ ███████ █████████████ ██ ████████████ ███ ██████ █████████ ██ ████████████ █████
Clarissa disagrees, but Myungsook agrees: this is the disagreement. Clarissa says that scientists should only think about quantitatively stated observations. Myungsook, however, says scientists need to think about observations before they can be stated quantitatively.
e
useful scientific theories ███████ ███ ███████████ ██ ███████████
Clarissa would probably agree with this. Myungsook, on the other hand, never talks about how necessary mathematics might be to science.