To think, suppose, or consider — and by extension, 'to seem' or 'to have a reputation.' Dokeō can express genuine consideration or mere appearance (what seems to be the case versus what truly is). The 'pillars who seemed to be important' in Galatians 2:9 uses this word.
Jesus frequently challenges what people think they know: 'What do you think?' (Matthew 22:42). The word exposes the gap between human assumption and divine reality. Paul uses it to contrast reputation with truth (Galatians 2:6). The Pharisees seemed righteous but weren't. Jesus warns: 'Do not think I have come to abolish the Law' (Matthew 5:17). Right thinking about God and His purposes is the beginning of wisdom.