to judge: to weigh a person or matter and pass a verdict on it.
At its root this word means to separate one thing from another, the way grain is sifted from chaff. From that simple picture the whole range grows: to sort out, then to weigh, then to decide what is right, and finally to declare a verdict and see it carried out. To judge, in this word, is to sift a person or a case and pronounce the outcome.
That single act covers a wide field, and the senses below differ mainly in who is doing the judging. When God or Christ is the judge, the word names the final reckoning the whole New Testament looks toward, and also God's present, fatherly correction of his own people. When it is one believer sizing up another, the same word becomes the warning of Jesus and Paul: do not set yourself up as judge over people who answer to God, not to you. In a courtroom it is the ordinary work of trying a case and handing down a ruling, and in a few places, borrowed from the Old Testament, it stretches to mean ruling or governing a people.
The verb often slides toward the negative result of a verdict. To judge someone, in many verses, is already to condemn them, because the verdict has gone against them. Greek lets one word carry both the neutral act of judging and its unfavorable outcome, which is why the same form can mean simply "judge" in one verse and "condemn" in the next. Just as important, and easy for English readers to miss, the Old Testament behind these writers used its word for judging to mean rescue as much as punishment: when God judges, he condemns the wrongdoer and in the same breath vindicates the wronged. That is why God's people can await his judgment as good news.