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The most important one was mathematics. Astronomy dominated science for centuries (Astronomy was considered a branch of mathematics). Aristotle's views of science continued to be taught as canon by the Catholic Church way beyond their usefulness.

Plato cum Philo cum Plotinus influenced the early church in ways that are still part of Christian doctrine today. Concepts like logos, spiritual interpretations of natural events, mystical union with the devine, dividing of personality into body and soul, and even personal salvation, all come from Greek ideas. Especially from the neo-Platonic interpretation of Plato's dialogues.

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Q: What were some of the Greek ideas that dominated European thinking?
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How do you create bright ideas?

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electrical impulses in the brain By somebody thinking By somebody thinking