How does Buddhist Logic work?

In the Wikipedia article [Buddhist Logic](https://en.wikipedia.org/wiki/Buddhist_logic) , it is mentioned that Buddhist Logic is different from classical western logic. > ‘Indian Logic’ should be understood as being a different system of logic than modern classical logic (e.g. modern predicate calculus), but as anumāna-theory, a system in its own right. ‘Indian Logic’ was influenced by the study of grammar, whereas Classical Logic which principally informed modern Western Logic was influenced by the study of mathematics. How does Buddhist logic work then? And how is it used in the exegesis of Buddhist scriptures?