Double Horizon |
Paradox, mathematics, poetry, fiction, speculations in philosophy and politics. Copyright 2024, Nathaniel Hellerstein
Friday, August 29, 2014
Thursday, August 28, 2014
Wednesday, August 27, 2014
Tuesday, August 26, 2014
Monday, August 25, 2014
Friday, August 22, 2014
Heap, Zillion, and Bandwidth
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.
Thursday, August 21, 2014
Schlimbesserung and Cyber-Cascade
Schlimbesserung
and Cyber-Cascade
“Schlimbesserung”
is a German word meaning an improvement that does not improve. Awhile back I
experienced schlimbesserung and a cyber-cascade.
It
started, as usual, with slow internet. We decided that the router was too small
for our three computers, so we got a new one. Alas, Hannah’s machine couldn’t
log on to it because it needed Windows 7 or up, and her hand-me-down computer
had Windows XP, and couldn’t upgrade. So we needed a new CPU with a new
operating system, to interface with the new router!
This
was done, but alas, her new computer had new glitches. We called in a computer
tech, who fixed up the glitches; but he also offered to upgrade our other two
computers to…
…
wait for it…
…
Windows 8!
Well,
my computer had been plagued by unblocked ads, as had Sherri’s, so we foolishly
said yes. It took him hours, and us $100, to do the reinstall. After a rocky
start I got my system going more or less as before. Ads are blocked, and it is
stabler, but I lost the chess game. I let it go; that game was a time-sink. So
now I have less of a computer, but a better one.
But
poor Sherri lost all of her bookmarks.
This
illustrates Hellerstein’s Cyber-Warning:
Installing new programming isn’t like a meal;
it’s like surgery.
Wednesday, August 20, 2014
On Twit Signals
On Twit
Signals
I define a “twit
signal” as any tic of politicized writing that signals that the writer is a
twit. A twit signal is rhetorical, not informative. The meaning it conveys is;
I conform to my tiny group’s quaint customs and beliefs.
For instance, take the
word “wymyn”, favored among certain radical feminists. Sure, it’s orthographic,
but it’s also self-ghettoization.
Other
twit signals include; “frankenfood”, “Democrat party” and “Obamunist”.
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