Kavka's toxin puzzle


Kavka's toxin puzzle is a thought experiment about the possibility of forming an intention to perform an act which, following from reason, is an action one would not actually perform. It was presented by moral and political philosopher Gregory S. Kavka in "The Toxin Puzzle", and grew out of his work in deterrence theory and mutual assured destruction.

The puzzle

Kavka's original version of the puzzle is the following:
An eccentric billionaire places before you a vial of toxin that, if you drink it, will make you painfully ill for a day, but will not threaten your life or have any lasting effects. The billionaire will pay you one million dollars tomorrow morning if, at midnight tonight, you intend to drink the toxin tomorrow afternoon. He emphasizes that you need not drink the toxin to receive the money; in fact, the money will already be in your bank account hours before the time for drinking it arrives, if you succeed. All you have to do is... intend at midnight tonight to drink the stuff tomorrow afternoon. You are perfectly free to change your mind after receiving the money and not drink the toxin.

A possible interpretation: Can you intend to drink the toxin if you also intend to change your mind at a later time?

The paradox

The paradoxical nature can be stated in many ways, which may be useful for understanding analysis proposed by philosophers:
Since the pain caused by the poison would be more than off-set by the money received, we can sketch the pay-off table as follows.
IntendDo not intend
Drink90−10
Do not drink1000

According to Kavka: Drinking the poison is never to your advantage regardless of whether you are paid. A rational person would know he would not drink the poison and thus could not intend to drink it.
IntendDo not intend
DrinkImpossible−10
Do not drinkImpossible0

David Gauthier argues once a person intends drinking the poison one cannot entertain ideas of not drinking it.
IntendDo not intend
Drink90−10
Do not drinkImpossible0

One of the central tenets of the puzzle is that for a reasonable person
Thus a reasonable person must intend to drink the toxin by the first argument, yet if that person intends to drink the toxin, he is being irrational by the second argument.