Monday, October 22, 2012

Integral Infinity

Om 
Purnamadah Purnamidam
Purnat Purnamudachyate
Purnasya Purnamadaya
Purnameva Vashishyate
Om shanti shanti shanti! 

Om
That is infinite, this is infinite
From that infinite, this infinite comes.
From that infinite, this infinite removed or added,
Infinite remains infinite.
Om. Peace peace peace!

I start with this verse from Isha Upanishad, because it reads like a mathematical proof. When adding or subtracting from infinity, infinity remains infinite. I can't recall the first time I learned about the concept of infinity, but I can imagine how difficult it must have been to grasp its abstractness in context of something as defined as mathematics. In theory, if you add up every number from -∞ to +∞, you get 0. This is an unbounded sum, one which has an indefinite beginning and an indefinite end. And yet, its solution amounts to nothing. 

However, if you take this concept from the realm of mathematics and into that of philosophy, the equation changes. As is described in the verse above, the beginning and the end of time are on this spectrum between -∞ and +∞. Yet, this unbounded philosophical sum encompasses not just the existence of humanity, but that of our entire universe. It truly is, "through infinity and beyond!" And if you assume mathematics and philosophy to be on a continuum, then our universe should also amount to nothing.
 
So is it? Is the infinite breadth of our existence not even a mere speck? Or is this a more relative theory? Perhaps when compared with the truly infinite, as in God or Science or some other supreme force of nature, our being is truly miniscule. If this is true, then maybe it shouldn't matter what my legacy is. And assuming that my essence means something, is just a fancy way of expressing my vanity. 

On the flip side of infinite sum is infinite precision. Like the digits in pi. It is both irrational and necessary. Everything in this infinite universe may sum to nothing, but the details of this world are infinitely defined. This is why all constants are approximations. It is impossible to fathom these values, yet so easy to experience them. All of sudden, my existence which amounts to nothing in the infinite sum, is still infinitely defined. The forces that act upon me and the energy I release into this world is precisely defined. At a given moment, something happens because it was infinitely planned. The parameters of this infinite definition and this infinite precision are also infinite. 


I use this symbol of infinity to validate my existence every day. Sometimes, I stare at my infinity sign and use it to zap people's brains. Other times, I stare at it and wonder if this infinity sign can truly transform lives. But most of the time, it only serves as a reminder of the infinite knowledge I have yet to learn. And while this is overwhelming, for that moment I find a purpose for my miniscule self in the vastness of infinity.



Occasionally I also use infinity to define my indolence. My laziness is like the number 8. If it lays down, it becomes infinite!