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My name is Atreya and I'm 18 years old. I'm currently studying for my A levels. I used to love physics and mathematics a lot, and I still do... sort of. A couple of months back, I came across a big philosophical problem. I'd like to name this problem analytical nihilism. This problem destroyed my love for physics and mathematics and actually for all subjects involving analysis. It has devastated me in a way and I'm writing here to seek your help in solving this problem.

I’ll explain the dilemma through an example first and then I’ll give you the general picture. Back in the days, Isaac Newton discovered his Law of Gravitation by performing experiments on certain masses which were at certain distances apart. But the fact is that he only performed the experiments on certain and a finite number of masses and only at certain and a finite number of distances. How could he be so sure that his law will hold for all masses at all distances?

One may say he could perform more experiments to extend his proof, but it is the nature of real numbers and real variables to be infinite, so how can he go through all possible variables in the finite amount of time that he has on Earth?

This idea extends to all things in science. How can we be sure of any form of analysis we do when analysis is infinite but we are finite? How can we reconcile this meaninglessness?

At the back of my head, I know intuitively that the universe is beautiful and that this ugly picture must be wrong and that there must be some order to the universe. But I just can't seem to find a logical, non-intuitive answer. It's killing me.

I hope someone will be able to give me a solid explanation to reconcile this problem and to help me see the well-ordered beauty of the universe.

Thank you.