Thursday, July 18, 2013

An Irrational Sum

I've been spending some time working on various forms of mathematics. I decided it might be interesting to post any insights I gather while working on this project. The first of those insights follows. It relates to how we conceive of the Reals.

First, I will introduce the new notation (I say "new" since a cursory search did not reveal anyone else using anything like it):


Immediately, however, I realized that this notation, despite being intuitively obvious, was a tad strange. It summed a series of the roots and then summed a fragment. 

I will eventually post a more thorough analysis that I have been pursuing, but I'm currently checking whether it is worth examining academically.