to seek after
Epizeteo describes actively pursuing something wanted, whether a sign, provisions, a future city, or a person.
The verb most often marks pursuit of a desired object, outcome, or goal: signs, material needs, further matters, a homeland or coming city, and what Israel did not obtain. In two narrative settings it marks looking for a person who is absent or being sought.
Senses in use
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Pursuing a desired goal or object · dominant
In Matthew 12:39 and Matthew 16:4, the present singular form occurs in the clause about a generation seeking a sign. Present plural forms describe people seeking worldly needs in Matthew 6:32 and Luke 12:30, while Hebrews 11:14 and Hebrews 13:14 place the pursuit toward a homeland and the city to come.
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Looking for a person · common
In Acts 12:19, the aorist participle stands before the statement that Herod did not find the man he had sought. In Luke 4:42, the imperfect plural occurs as crowds search for Jesus, come to him, and try to prevent his departure.
In the Anselm Project Bible: The APB variously presents the verb with “seek,” “seek after,” “sought to hear,” and “searched for” across the verses. These are renderings of whole translated clauses rather than definitions.