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The following words can all be used to describe someone who is determined to do what they want to do, and refuses to change their mind:
You use firm or steadfast to show that you approve of someone's behaviour. Steadfast is a rather literary word.
Stubborn, obstinate, pig-headed, rigid, and intransigent are all used to show disapproval. Intransigent is a formal word.
|Noun||1.||stubbornness - the trait of being difficult to handle or overcome|
|2.||stubbornness - resolute adherence to your own ideas or desires|
firmness of purpose, resoluteness, resolve, firmness, resolution - the trait of being resolute; "his resoluteness carried him through the battle"; "it was his unshakeable resolution to finish the work"