what are the meaning of the following underlined parts–
Although many people would no doubt think it impossible, social psychologists over the past several decades have been attempting to categorize and quantify the notion of love. And while there may never be agreement on how this is best done, much of the research to date is quite thought-provoking."
Simplified:
I realise that a lot of people believe this is impossible, but…
It is unlikely that people will agree about how to do this, but the research so far gives us a lot of things to think about.