Here is a blog that has done an article on a very similar topic about Hebraic and Greek thinking. It was refreshing to see someones views on this too.

“What’s the difference between thinking like a Hebrew and thinking like a Greek?  No, there’s no punch line, let me explain.

When I say Hebrew or Greek,  I’m not necessarily referring to the concept of nationality.  Rather, I’m talking about the difference between eastern and western mentality, or more specifically - the difference between a Scriptural and a worldly mentality.  You see, when I speak of thinking Hebraically I’m not talking about thinking like a Jewish person.  Nor am I saying that having a Greek mindset is referring to a person of Greek heritage.  It really is a picture of thinking either biblically or worldly.

God created the Hebrew people and their way of life.  He invented a people that would follow Him by entering a covenant relationship with Him.  That means whether a person is a natural born Jew or a Gentile, they are a part of God’s family if they’ve accepted Jesus as their Lord and Savior…”

Read the entire post here:

http://www.ezekielthree.com/Ezekielthree/Hebrew_vs_Greek.html