Much has been made of the contrast between Athens and Jerusalem, but it has seldom been noted that these two worldviews represent significantly different approaches to time travel. Now obviously they do not include time travel in the full sci-fi sense, but both do include messages from the future in the form of prophecies, and these messages from the future do affect people’s actions in the present. (The closest Star Trek analogy may be the infamous “Future Guy” from Enterprise, who can relay messages without personally intervening in the past.)
From this perspective, Oedipus is fundamentally a time-travel story, and it results in a predestination paradox insofar as his very attempt to “change the timeline” by avoiding the horrible prophecy directly results in the fulfillment of the prophecy. In the Hebrew Bible, by contrast, we might look to the story of Jonah, where the prophetic message from the future actually causes a change in the timeline insofar as Ninevah repents.
While prophecy doesn’t always result in an alternate timeline, one gets the sense that within the Hebrew model of time travel, the possibility of changing the future is always “on the table” in a way that it definitely is not within Greek temporal mechanics. That might help us to understand why Jonah flees from his prophetic task — he likes the current trajectory that leads to Ninevah’s destruction and doesn’t want to divert it. And when he’s moping in the end, it may be because he finds it objectionable that God would bring about a happy ending using an unwieldy plot device like time travel.