Why did Greek philosophers place such a high value on logic? Explain

They tend to know the truth and understand it

Explanation:

Many Greek philosophers were tending to know the truth and understand it. For that, they needed a logical explanation of things so they started to search for the answers.

Aristotle is the first great logician in the history of logic and Plato was struggling to explain certain logical relations.

Greek philosophers have developed logical terminology and they were one of the first human beings that have explained things that were unknown by then.

slavery, abortion, donald trump, gay marriage, racial rights, immigration  

explanation:

anything that has been broth up to the supreme court is something of grate political divide   so just look as court cases