Mary Shelley on Invention
Posted by Tom Leinster
From the 1831 introduction to Frankenstein:
Invention, it must be humbly admitted, does not consist in creating out of void, but out of chaos; the materials must, in the first place, be afforded: it can give form to dark, shapeless substances, but cannot bring into being the substance itself. […] Invention consists in the capacity of seizing on the capabilities of a subject, and in the power of moulding and fashioning ideas suggested to it.
She’s talking about literary invention, but it immediately struck me that her words are true for mathematical invention too.
Except that I can’t think of a part of mathematics I’d call “dark” or “shapeless”.
Posted at July 8, 2015 12:54 PM UTC
Re: Mary Shelley on Invention
The dark and shapeless are those parts of mathematics yet to be defined. Newton faced this when formulating his method of fluxions. And we face this today in pondering the proper mathematics for quantum gravity.