Fun in mathematics!

Are we rational? Better rephrase it, am I rational? Its a very good question. But if I try to investigate from philosophical point of view then the very next question is “What is rationality?”. Couple of days ago I was working with free will paradox or Newcomb's paradox. It is a famous old problem. Do we have free will? Well, why not approach this problem in a completely different fashion. Let say, we got a guy, very religious. To be more specific we allow a religious Muslim guy to play the game where the fictitious being is God. Obviously we know the answer. This is because our player believes that the being knows his moves pretty accurately. Arguments for choosing both of the boxes not gonna work here. Because in our case the being is pretty accurate and more strong argument is our player believes that the being accurate.

Now the question becomes, is our player rational? Well, I am gonna argue that our player is completely rational and he made the maximum return out of the game. To prove that our player made the maximum return out of the game all we have to show is his decision was rational. If he is a rational person then obviously the return is maximum [Game Theory]. Now the whole things turns into rationality of our fictitious player. If I take the favor defining rationality in such a way that the model of rationality proves our player rational then we are done.

Every human being can be characterize by few parameters. The value of those parameters may vary from man to man. Some try to achieve materialistic goal some go for the spiritual. It differs from person to person. No one is more rational than other. Everyone is rational from their own perspective. Hence, by carefully choosing those parameters for our fictitious player we can make him religious which is obviously rational also. Now using this model for rationality we can go a step ahead of it. Every interaction between human and other entity can be define by their individual rationality. Hence if we can model rationality for each of the entity in this universe then a suitable mathematical model of this universe can be obtained. One the other way if we can model the primitive stage then the current world model can be derived after finite number of derivation steps. Therefore, there is a possibility for the mathematical model of this universe.

[All models are wrong but some are useful. - George E. P.] :D