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We use a precog of our own to create a logical paradox.

Equip two snipers. Let's call them Sniper-A and Sniper-B. Sniper-A is a precog.

Sniper-A is ordered to assassinate the target on day 1 only if he foresees that the target will not be killed on day 2.

Sniper-B is ordered to assassinate the target on day 2 only if the target was not killed on day 1.

If the guards foresee an assassination attempt on day 1 and prevent it, Sniper-B will make the kill on day 2. If they foresee an assassination attempt on day 2 and prevent it, Sniper-A will make the kill on day 1.

Either way they will not be able to stop the attack.

If the guards prevent the assassination on day 1, it will be carried out on day 2. In this case the assassination on day 1 will never be attempted and the guards cannot foresee it! The same argument applies the other way round.

The concept of precogs allows the two snipers form a logical paradox. Because of this, ordinary logical reasoning will never really get you one right answer about what will happen. However in a universe where you are fighting against precogs, creating such logical paradoxes is almost certain to ruin their day!

Equip two snipers. Let's call them Sniper-A and Sniper-B. Sniper-A is a precog.

Sniper-A is ordered to assassinate the target on day 1 only if he foresees that the target will not be killed on day 2.

Sniper-B is ordered to assassinate the target on day 2 only if the target was not killed on day 1.

If the guards foresee an assassination attempt on day 1 and prevent it, Sniper-B will make the kill on day 2. If they foresee an assassination attempt on day 2 and prevent it, Sniper-A will make the kill on day 1.

Either way they will not be able to stop the attack.

We use a precog of our own to create a logical paradox.

Equip two snipers. Let's call them Sniper-A and Sniper-B. Sniper-A is a precog.

Sniper-A is ordered to assassinate the target on day 1 only if he foresees that the target will not be killed on day 2.

Sniper-B is ordered to assassinate the target on day 2 only if the target was not killed on day 1.

If the guards foresee an assassination attempt on day 1 and prevent it, Sniper-B will make the kill on day 2. If they foresee an assassination attempt on day 2 and prevent it, Sniper-A will make the kill on day 1.

Either way they will not be able to stop the attack.

If the guards prevent the assassination on day 1, it will be carried out on day 2. In this case the assassination on day 1 will never be attempted and the guards cannot foresee it! The same argument applies the other way round.

The concept of precogs allows the two snipers form a logical paradox. Because of this, ordinary logical reasoning will never really get you one right answer about what will happen. However in a universe where you are fighting against precogs, creating such logical paradoxes is almost certain to ruin their day!

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Equip two snipers. Let's call them Sniper-A and Sniper-B. Sniper-A is a precog.

Sniper-A is ordered to assassinate the target on day 1 only if he foresees that the target will not be killed on day 2.

Sniper-B is ordered to assassinate the target on day 2 only if the target was not killed on day 1.

If the guards foresee an assassination attempt on day 1 and prevent it, Sniper-B will make the kill on day 2. If they foresee an assassination attempt on day 2 and prevent it, Sniper-A will make the kill on day 1.

Either way they will not be able to stop the attack.