**Heap, Zillion, and Bandwidth**

Define the “Heap” as the
first boring number; that is, the first number without features of any interest
to you. Surely there must be a first such number, for you cannot be interested
in every number, as there are infinitely many, and attention is finite.

But surely being the

*first*boring number is interesting! Defining the Heap clearly would create paradox; for a number fitting any clear definition has at least one interesting property. The Heap is fuzzy; it’s where your mind slips a gear, so your mind can’t tell you where it is.
Now consider the
“googol”, defined by young Milton Sirotta to be 10^100. He then defined the “googolplex”
to be “10 ^ until your hand gets tired”. He and his mathematician uncle Edward
Kasner decided to change that to 10^googol; but the original definition really
is 10^Heap.

So define a Zillion as 10^Heap. But then Heap = 10^what? What to call the logarithm of a Heap? I
propose the “Bandwidth”; meaning the number of digits needed to name every
interesting number.

Zillion
= 10^Heap.

Bandwidth = log Heap

A zillion is a number
too big to accurately compute with, for it has too many digits to hold your
interest; and the bandwidth is how many digits your system needs to process
every number that interests you. A zillion is beyond the mind, the bandwidth is
the size of the mind.