I'm going to briefly discuss the possibility of precognition. Or, to put it more prosaically, the possibility of prophecy.
A metaphysical objection to precognition is that if we know the future, that gives us a chance to alter or avoid the future. But in that event, what was the future we foreknew? Precognition seems to generate retrocausal paradoxes. That, however, depends on the nature of the event, the specificity of the oracle, and the incentive of the foreseer to evade the outcome.
Let's consider some hypothetical counterexamples.
i) Suppose the oracle warns you that you will die in a freak accident. Even if you're motivated to avoid premature death, having advance knowledge that you will die in a freak accident doesn't enable you to avoid that outcome. In the nature of the case, a freak accident is hard to anticipate or prepare for. So many different incidents could constitute a freak accident. The "freakish" concurrence of independent events is so unexpected that you can't avoid stepping into the trap. The oracle doesn't even tell you what kind of freak accident will kill you. You don't know what to be on the lookout for. It will zap you before you know what hit you.
ii) Suppose the oracle warns you that you will die of food poisoning. There are two ways you can thwart the oracle. You can stop eating. In that event you will die of starvation. You can kill yourself.
But even if, in that case, you're in a position to thwart the oracle, you have no particular incentive to do so. After all, whether or not you die of food poisoning, you're bound to die sooner or later. Evading a deadly oracle by killing yourself is no advantage in that respect. It's not like the alternative to the oracle is preservation. Rather, the only way to cheat fate is to beat it to the punch.
In practice, you wouldn't do much of anything different. You continue to eat. At some point you will die of food poisoning, but that may be years from now. Better to make the most of your remaining time, however long that may be, than to die even sooner by your own hand. Why cut it short? You're only motivated to cheat fate of that's beneficial to you.
When your number's up, that's that. No point expediting your demise.
iii) The oracle warns you that you will die in a traffic accident.
a) You might try to evade that. However, there are severe tradeoffs. Avoidance will require you to racially change your lifestyle.
You will have to relocate to a log cabin in the wilderness. Live off the land. Even if you could successfully thwart the oracle by doing that, the tradedown might not be worth it to you.
b) Moreover, that's not a sure bet. After all, you rely on transportation to get out of town. You must initially use transportation to put civilization behind you. But what if fate is lying in wait for that very opportunity?
c) Or fate might arrange for a Cessna to crash into your log cabin.
iv) Suppose the oracle warns you that you will be mugged at 3:15 at the intersection of Park Avenue and 5th Avenue. In principle, you can cheat fate by not being there at that particular time.
However, the success of your plan depends on how resourceful fate is. Suppose the battery in your wristwatch dies. You glance at your watch, it says 2:30. You figure you have plenty of time walk past that alley before the mugger gets there. But in reality, it's later than you think–because your watch stopped several minutes ago.
v) Let's toy with variations on Oedipus. Suppose, at age 18, the oracle warns you that you will accidentally kill your parents.
a) You try to cheat fate by moving out of state. But unbeknownst to you, the couple who raised you weren't your biological parents. They kidnapped you as a baby.
b) Unbeknownst to you, the town you move to is where your biological parents live. In fact, you move to the house next-door.
You put a container of flammable liquid under a garage window. At the time you put it there, it's shaded. But during the course of the day, it falls under direct sunlight, overheats, and explodes. Your house is engulfed in flames, which spread to the house next-door, and your parents die in a house fire.
c) Or suppose the couple who raised you were your biological parents. Everyday you phone your mother. One day she's in the kitchen, washing dishes, when the phone rings.
Because she's in a hurry to answer the phone before you hang up, she doesn't notice a puddle of water under the sink. In her haste she slips, falls, hits her head, and dies from a subdural hematoma. Your dad comes home, discovers his dead wife, and shoots himself in grief.
You innocently set in motion a chain of events which led to the death of your parents.
vi) These are fanciful examples. Let's take a real-life example: the life of Joseph (Gen 37-50).
Joseph has two prophetic dreams. His brothers bitterly resent his dreams because they resent the prospect of their younger brother ruling over them.
They therefore try to cheat fate by conspiring to kill him. After all, if he's dead, he will never be in a position to rule over them.
However, some slavetraders "just happen" to come by as they are deciding whether or not to go through with their murderous plot. They don't really want to have his blood on their hands. That was only a means to an end. They just want to have him out of their hair.
How could they anticipate the famine? How could they anticipate that a foreigner (Joseph) would someday become the CEO of Egypt? What are the odds?
Likewise, what are the odds that Pharaoh "just happens" to have two prophetic dreams at about the same time that two of his disgraced courtiers are in prison, who "just happen" to have their own prophetic dreams, who "just happen" to have Joseph as their cellmate?
As a result, word of Joseph's reputation as an oneiromantist gets back to Pharaoh. And so on and so forth.
This plot is classically fatalistic in the sense that the evasive maneuvers of the antagonists are the very means by which the oracle comes true. They know just enough to know what will happen, but not enough to know how (when, where, by whom) it will happen. So they unwittingly make it happen in their effort to prevent it from happening.