'Intention' in the Bible

Therefore repent of this wickedness of yours, and pray the Lord that, if possible, the intention of your heart may be forgiven you.

but information of their intention was given to him. They even watched the gates, day and night, in order to murder him;

but since it is merely a question [of doctrine within your religion] about words and names and your own law, see to it yourselves; I am unwilling to judge these matters.”

but the centurion, wanting to bring Paul safely through, kept them from their intention, and commanded that those who could swim should jump overboard first and get to land,