Medieval Philosophy: How did the Greek and Latin Church fathers influence the christian church

Please write about how both the Greek and Latin Fathers influenced the christian church as well as how their philosophies helped shaped it to what it is today; but please only use these Fathers:

Greek: St. John Chrysostom, St. Basil the Great, St. Athanasius, and St. Gregory Nazianzus

Latin: St. Jerome, St. Ambrose, St. Augustine, and St. Gregory

 

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