Full Idea
Logical formalization forces the investigator to make the central philosophical concepts precise. It can also show how some philosophical concepts and objects can be defined in terms of others.
Gist of Idea
Logical formalization makes concepts precise, and also shows their interrelation
Source
Horsten,L/Pettigrew,R (Mathematical Methods in Philosophy [2014], 2)
Book Reference
'Bloomsbury Companion to Philosophical Logic', ed/tr. Horsten,L/Pettigrew,R [Bloomsbury 2014], p.16
A Reaction
This is the main rationale of the highly formal and mathematical approach to such things. The downside is when you impose 'precision' on language that was never intended to be precise.