The Mathematics of Buddhism

The 30th chapter of a massive Buddhist text called the Flower Garland Sutra is titled “The Incalculable”. This chapter is somewhat shorter but takes a very unique approach to expressing the massive scale of the Universe.  The Buddha begins by saying:

At that time the enlightening being [bodhisattva] Mind King said to the Buddha, “World Honored One, the buddhas speak of incalculable, measureless, boundless, incomparable, innumerable, unaccountable, unthinkable, immeasurable, unspeakable, untold numbers- what are these?”

…The Buddha said, “Ten to the tenth power [1010] times ten to the tenth power equals ten to the twentieth power [1020]; ten to the twentieth power times ten to the twentieth power is ten to the fortieth power [1040]….

…[trimmed for brevity] that squared is ten to the power of 101,493,292,610,318,652,755,325,638,410,240; that squared is incalculable; an incalculable to the fourth power is a measureless…

Translation by Thomas Cleary

As you see above, the numbers get extremely large. I can’t even imagine how big 10101493292610318652755325638410240 is. That’s a lot of zeros! For example, a billion is 109 while a trillion is 1012 and so on. So it’s almost impossible to imagine how big a number that is.1

The point of this mathematical exercise is to demonstrate that the Universe in its totality is almost incomprehensible in scale, even to a bodhisattva who has deep insight. Only a buddha can truly grasp it all.

The chapter ends with a long verse section which expresses how incalculable existence is:

Untold unspeakables
Fill all unspeakables;
In unspeakable eons
Explanation of the unspeakable cannot be finished.

Translation by Thomas Cleary

Even a single hairtip contains this unfathomably huge cosmos, and in turn the contains contains the hairtip:

The lands [realms?] on a point the size of a hairtip
Are measureless, unspeakable
So are the lands on every single point
Throughout the whole of space.

Translation by Thomas Cleary

One of the central themes of the Flower Garland Sutra is the total inter-connectedness of all things. A single kernel of rice contains the sun’s energy, rain, minerals from the soil, the labor of the people who farmed it, and so on. If you stretch this out far enough, that kernel of rice then contains the universe, but you can also apply this same logic to anything else in the Universe big or small. When you add all this up, this creates a truly profound but totally incomprehensible web of relationships.

Chapter 30 of the Sutra expresses this concept probably better than any Buddhist literature I’ve read thus far.

P.S. Revived and updated from an old blog.

1 By the way, if exponential math is intimidating, I found this website provides a nice simple explanation of how it works.

Published by Doug

🎵Toss a coin to your Buddhist-Philhellenic-D&D-playing-Japanese-studying-dad-joke-telling-Trekker, O Valley of Plentyyy!🎵He/him

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