Why did some athenian leaders think the socratic method was dangerous?

This is of course somewhat of a subjective question, but in general most would agree that the reason they found these ideas so disturbing was because they shook their traditional belief system.

Explanation:

john smith was the first englishman to sail around the world. francis bacon served as attorney general and lord chancellor of england. he took up aristotelian ideas, arguing for an empirical, inductive approach, known as the scientific method, which is the foundation of modern scientific inquiry.

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