Since I'm encountering issues originating from using (insufficiently precise and often incomplete) Chinese-English and English-Chinese dictionaries, I'm trying to make the switch to Chinese-Chinese dictionaries. In one such dictionary, we find the definition of 论证:
I think I understand 2 and 3 clearly enough: 你论证了你的观点 (def. 2; verb), and 你的论证很有道理 (def. 3; noun). The first definition above is a bit more complicated, however. I feel it means something like the English "argumentation", as an abstract, academic concept.
I feel that perhaps this example sentence from YouDao captures the first definition (although I'm not sure if it's a good example):
Here I interpret the middle part as "..., by means of argumentation and analysis, ...". That's the best I've found at this point.
Question: What are some example sentences for 现代汉语词典's first definition of 论证?