Unsolved Problems 6 – On a Choice Overload


I thought of number theory as the most interesting branch in maths. However, after some weeks spent among YouTube lectures, webinars and scratching the surface intricate concepts, my motivations has become a bit shaky.
What I don’t understand is whether pure maths is something that I actually find worth pursuing, despite I deeply recognise the value and the beauty of its intriguing patterns.

So, I returned to experience the charm of mathematical physics, also watching for the nth time my favourite of the Feynman’s Messenger Lectures titled “The Relation of Mathematics and Physics.” Nevertheless, what I don’t like of mathematical physics is the deep connection with theories of the physical world that might be swept away overnight. I don’t doubt that an everchanging – yet interesting – field of study might suit some people, but this mutability is exactly the reason why I want to avoid it. Such variability looks set to continue till remains open the Hilbert’s sixth problem, which is regarding the axiomatisation of physics. On the other hand, a break through in pure mathematics doesn’t demote or undermine previous results.

I’m currently reading “A Mathematician’s Apology” by G. H. Hardy, in the hope of rediscovering my motivation to explore number theory or another branch of pure mathematics. Upside is that there seems to be lots of other branches waiting to be explored.