Creation or Discovery

When I was a mathematician, some of my colleagues said maths research was like sculpture. A big block of stone was chipped away at until you had the art you were trying to make. You have to start with everything and keep working until you have the proof you wanted.

I was always fond of that analogy, and of the two philosophies that followed. One mathematician might say they were really creating the maths and results. Maths is an act of creation. Another mathematician would say the maths was already there, hidden, waiting to be revealed. In this way, maths is an act of discovery. I loved hearing different takes on this, and personally, when it comes to maths I’m on the side of discovery – the ideas are out there waiting to be found!

I’ve heard similar thoughts and feelings from people in other lines of research too. Often though, I notice people enthusiastically discussing this topic but missing something fundamental. Creation or discovery don’t happen by accident, only through work. Whether you create an equation or discover it, you do the work.

Whatever you have in your thesis, whatever kind of research you discuss in your viva, it only happens because you did it.