is perfection mathematical?
today someone asked me this, and even though i had mixed feeling about it i gave my answer:
'starting with an example
we could construct a standard by creating a range of the spectrum of visible light as "red", and another sub-range as "perfectly red", and on this basis distinguish perfect red, imperfect red, and not red.
still, a chef's knife could be called "perfect" if its good for cutting food, but not for cutting brick or steel, nor for an infinite range of other purposes. shall we call the knife "imperfect" or "an imperfect knife" on these grounds?
should we assume that these simple criteria of "provability" and "knowability" are the most relevant criteria according to which we might judge whether mathematics is"perfect" or "flawless"?
but then could its use not be flawed? in that case, the mathematics is perfect. its use however is not.
as systems become more complicated, in order to make them more controllable, its obvious that certain simplifying assumptions are made. you might be able to write down an exact set of equations, but could you solve them? more often, the equations themselves are approximations.
so in conclusion i do think of mathematics as the most reachable thing to something thats perfect, however it is not always used for that purpose, making its use possibly imperfect'
please forgive me if there are any errors for i am still very new to this
Posted Jul 21, 2025, 4:36 AM UTC