never; by no means
Expresses a strong negative assertion, 'never' or 'by no means'.
決して~ない is used to strongly deny something or to emphasize that something is absolutely not the case. It is often used in warnings, promises, or statements of strong conviction. The nuance is stronger than just saying ~ない, adding a sense of 'not at all' or 'under no circumstances'.
In conversation, this pattern is common in expressions like 決して忘れない (I will never forget) or 決して諦めない (I will never give up). It can also be used in formal contexts, but it is not overly stiff. Note that 決して must be paired with a negative ending; you cannot use it with a positive statement.