What You Simply MUST Understand
The Market Ticker ® - Commentary on The Capital Markets
Posted 2011-10-18 11:22
by Karl Denninger
in Editorial
Ignore this thread
What You Simply MUST Understand
 

I linked a Youtube presentation a couple of days ago by a professor who explained the exponent thing.  It was dry and I bet nobody went and watched the whole series; it was basically an hour long.

Yet if you don't understand this, you understand nothing when it comes to economics and the lies told by both the left and right.  You are not stupid, however: you are ignorant.

That ignorance is intentional.  Our "educational system", our bankers and our politicians intentionally fail to explain the fundamental concept explained in this Ticker for one and only one reason: Once you understand it - truly understand it - you can never fall victim to a ponzi scheme.  Not only that, you will never allow any society you are a member of to fall victim to one either, as you will recognize the inherent danger and demand that they be stopped and the people responsible either locked up or burned at the stake (after a proper trial, of course.)

Ignorance falls to education.  It is why we learn, hopefully, so we become less-ignorant.  As such I was prodded in email this morning by someone who said "you get this well for a non-scientist" and I had to reply in riposte: Ah, but I am a scientist you see....

Anyway, here we go.... pull yourself a nice Espresso and sit down for a short story that will explain why we're utterly screwed if we don't act and why acting to stop the progression of what is going in our economy right now is not an option - it is an imperative.

There happens to be a particular species of pond lily that is extremely prolific.  In fact it grows so fast that it doubles in size through both growth and reproduction in just one day.

We will start with a pond of a surface area of 4096 square feet, or about 64 feet square.  We will place within that pond one lily with an area of of one square foot; that is, a lily that is a square of 12 x 12".

This pond contains fish, which would like to live in symbiosis with the algae and other growing plant material within the pond.  In order to do some part of the pond's surface must be exposed to the air so that oxygen and carbon dioxide can be exchanged, and some part of the pond's surface must be open to the sun, or the algae that make up a good part of the food the fish eat (we will assume they do not eat the lilies directly) can survive.  The lilies will conveniently consume the urea (nitrogen) that the fish excrete, preventing the pond water from becoming poisonous.  So long as this symbiosis is maintained all is fine.  But if this symbiotic relationship fails all the fish will die.

We are the fish, incidentally, and the lilies are debt.

Now here's the question: Will the fish inevitably die and if so how long, in days, will pass before they perish?

That's easy.

On the first day there is 1 square foot of pond that is covered.
On the second, 2
On the third, 4.
On the fourth, 8.
On the fifth, 16.
On the sixth, 32.

Note that on the 6th day just 0.8% of the pond is covered with lilies.  You would not detect any problem on the sixth day, I suspect.  More than 99% of the pond is open to the sky!

Now here's the nasty truth: If you're a fish you're halfway to being dead!

Wide awake yet?  I hope so; let's continue.

On the seventh day 64 square feet are covered.
On the eighth, 128.
On the ninth, 256.
On the tenth, 512.

The pond is now 12.5% covered.  More than 80% of the surface area is open to the sky.  When you hear someone say "we have 80% of our resource left; we can't be in trouble", consider exactly where you are.  Why?  You'll see in a moment....

On the eleventh day, 1024 square feet are covered.
On the twelfth, 2048.
On the thirteenth day there is no surface open to the sky and every fish in the pond dies.

When did you figure out you're in trouble?  Was it on the twelfth day?  Well if so you had literally less than 24 hours to commit mass lilicide or you're all dead!  You literally can't spend one day debating with your fellow fish even though you still have half the surface area open to the sky on that 11th day.

This is the nature of exponents folks.

When it comes to economics we need to consider what the doubling time is to figure out how soon our situation will get intolerably bad.  Math provides us the answer; we can use the natural logarithm to determine time, but most people's eyes fuzz at the beginning of the discussion of "e" and thus I won't explain it that way (those of you who were awake in high school and college math, however, should be perking up right about now.)

Years ago, long before calculators, bankers reduced the use of logarithms to a "rule" called "The Rule of 72."  Simply you can take the growth rate of anything and divide that into 72 to find the approximate doubling time.  So if we have debt growing at 7% a year in the economy we can divide it into 72 and find that it takes about 10 years for the debt in the system to double.  This is an approximation, but it's close enough to do in your head (72 is a convenient number for mental division as it is divisible by both 12 and 6 and 6 of course factors to 2 and 3, so most common multiples can be quickly figured in your head without pencil and paper.)

Now go back and read the lily example again, and remember that when you're one period away from being extinct half of the available resource, in this case the money you earn to pay interest and/or principal on your debt, remains available to you!

Yet even with a fifty percent current economic (in this case) surplus you're just one period away from certain destruction!

Do you see the problem more-clearly now?

All the so-called "economists" (cough-Krugman-cough!) and the various commentators both in the mainstream media and blogosphere either do not understand this or simply refuse to accept and discuss it. 

But it doesn't matter whether you choose to accept that you're inevitably doomed in three days when the pond is 12.5% covered with lilies.  You see blue sky and breathe easily, yet you are literally three days away from certain extinction and your refusal to accept mathematics cannot change what is about to happen to you!  You either start killing lillies FAST or you're dead!

These are facts folks.  They are governed by natural laws that are fixed and cannot be avoided.  I cannot change them, you cannot change them, Barack Obama cannot change them, the Republicans cannot change them.  Nobody can change them.

These facts are why this chart happened:

and why, if we don't cut that crap out right now, we are screwed with absolute certainty.

The willful refusal of politicians and financial types, the latter of whom absolutely know this and the former who have no excuse for not understanding it, to discuss this point clearly when it comes to all matters in the economy is why I wrote Leverage.

We cannot avoid the mathematical facts or their effects.  Unlike the laws of man that can be evaded through bribery and trickery mathematics cannot be. 

You either accept these facts or you suffer the consequences.

One final point and I will leave you to think this over: The World Economic Forum (WEF) said recently that for us to achieve a 3% GDP growth for the next decade we would have to double the total systemic debt.  That is a roughly 7% annual growth rate in debt, or a "spread" of about 4% over "growth".  In order to do this, the amount of earnings from everyone in the economy that will have to be diverted to interest payments will also have to approximately double.  Yet it is the inability to pay that interest (and principal where it is paid down) that is factually known as the trigger for the 2007/08 financial collapse and this growth in debt, at their assumed 3% growth rate in GDP, will produce only a 34% increase in output with which you must pay for that doubling!

We must accept what we have done.

The fact is that if the pond will be covered entirely with lilies on October 31st it is now October 30th.

We have two choices: We either start killing lilies and find a way to keep them from reproducing, even though it appears we have half of our pond still uncovered and all is fine, or we will all perish with certainty.

Discussion below (registration required to post)
 

Main Navigation
Full-Text Search & Archives
Archive Access
Get Adobe Flash player





Blogtalk 3:30 CT Mondays
Items To Look At


Discuss The Capital Markets along with daily technical analysis with our Gold Donor program.

Where We Are, Where We're Heading (2013) - The annual 2013 Ticker

Links and Blogroll
Our policy on reciprocal links: Send us an email with your information and why you think your blog or news site would make a good addition - in most cases reciprocal link requests will be granted.
Legal Disclaimer

The content on this site is provided without any warranty, express or implied. All opinions expressed on this site are those of the author and may contain errors or omissions.

NO MATERIAL HERE CONSTITUTES "INVESTMENT ADVICE" NOR IS IT A RECOMMENDATION TO BUY OR SELL ANY FINANCIAL INSTRUMENT, INCLUDING BUT NOT LIMITED TO STOCKS, OPTIONS, BONDS OR FUTURES.

The author may have a position in any company or security mentioned herein. Actions you undertake as a consequence of any analysis, opinion or advertisement on this site are your sole responsibility.

Looking for "The Best of Market Ticker"? Check out
Ticker Classics.

Visit the forum to discuss this and other investing-related topics; see the FAQ on the forum for information about Gold Donor status including access to our technical analysis video server.

Market charts, when present, used with permission of TD Ameritrade/ThinkOrSwim Inc. Neither TD Ameritrade or ThinkOrSwim have reviewed, approved or disapproved any content herein.

The Market Ticker content may be reproduced or excerpted online for non-commercial purposes provided full attribution is given and the original article source is linked to. Please contact Karl Denninger for reprint permission in other media or for commercial use.

Submissions may be sent "over the transom" to The Editor at any time. To be considered for publication your submission must include full and correct contact information and be related to an economic or political matter of the day. All submissions become the property of The Market Ticker.

Leads on stories of current economic and political interest are always welcome. Our fax tip line is 850-897-9364; please include contact information with your transmission.

 
Comments.......
User: Not logged on
Login Register Top Blog Top Blog Topics FAQ
Showing Page 1 of 3  First123Last
User Info What You Simply MUST Understand in forum [Market-Ticker] Item is Pinned
Onelegged
Posts: 271
Incept: 2009-11-13

NW Colorado
Report This As A Bad Post Add To Your Ignored User List
"Lilicide", I love it!

This is why I think Critical Thinking should be a part of elementary school education. It would help with the right/left/us/them thing too.

----------
The light at the end of this tunnel is a train.
Maxpower
Posts: 40
Incept: 2011-06-06

Mexico
Report This As A Bad Post Add To Your Ignored User List
obama and company want to make sure that the debt hole they are digging cannot be fixed. he is succeeding.

after that his OWS party will be the revolution ...in the end it will be a soviet type system run by the same elites that made these problems.

enjoy.
Gable
Posts: 426
Incept: 2009-07-04
Green
Report This As A Bad Post Add To Your Ignored User List
I heard this as a kid and it struck home on how exponents work.

Simple question: What would you rather have after 31 days (month). A million bucks or "a penny on the first day and the each day after your total doubles and so on for 31 days".

As kids we all said a million bucks...but the math shows you come out with more than a million bucks on the 31st day.

----------
In all of history, no government became more honest, less corrupt, or granted its citizens more rights as it grew in size. E.L. 2011

Ellie's Law-As an online discussion about the failures of the Obama Administration continues, the probability someone shouting "It's Bush's Fault" approaches 1
Djloche
Posts: 3342
Incept: 2008-07-07
Silver
In the Mountains
Online
Report This As A Bad Post Add To Your Ignored User List
Quote:
We will start with a pond of a surface area of 4096 square feet, or about 64 feet square.


took me a moment to realize that the second number was 64^2

----------
"Just because the **** has not yet hit you in the face, does not mean that the **** has not hit the fan."

Stpaulmercantile
Posts: 39
Incept: 2011-09-24
Green
Maryland
Report This As A Bad Post Add To Your Ignored User List
Ahh, the number 'e'. 2.718281828459045, and that's from memory. Learned that in the 11th grade (1969). Stuck with me, too. Haven't had much use for it.
Genesis
Posts: 131489
Incept: 2007-06-26
Admin A True American Patriot!
Report This As A Bad Post Add To Your Ignored User List
Being a computer programmer who actually learned how to program in assembler (and incidentally, I taught myself how to program in assembler; no formal class!) makes these sorts of thought processes easy.

See, computers work in binary, and thus you're always dealing with the powers of 2 if you work in assembler.

The poor fools who have never programmed in assembly language and think they received an "education" were in fact cheated out of a key concept and its application to everyday life.

Those students were intentionally kept ignorant.

----------
I don't care if it makes sense -- only if it makes money. -- Me
Bank (n): See scam, fraud and theft. Eat a bankster -- they're low-carb.
What part of "shall not be infringed" was unclear?

Ntb
Posts: 1039
Incept: 2007-10-11
Green
UK - the flat earth middle bit
Report This As A Bad Post Add To Your Ignored User List
Call me dumb but I can't find the Ticker that contains the Professor's Youtube presentaion mentioned in the first line (I have looked). You might want to consider making it a link. Was it Professor Albert Bartlett? If not, he's done some very good material on the exponential function.

----------
Science is interesting. If you don't agree you can f*ck off.
Ponzi_unit
Posts: 8204
Incept: 2007-09-05
Gold
Report This As A Bad Post Add To Your Ignored User List
Nice.

----------
Taxpayers witnessed a crime and stayed around long enough to get charged with it.
Soylent
Posts: 129
Incept: 2009-08-27

Report This As A Bad Post Add To Your Ignored User List
Karl; not quite as useful, but did you ever learn the multiplication table in hexadecimal? :-)

Genesis
Posts: 131489
Incept: 2007-06-26
Admin A True American Patriot!
Report This As A Bad Post Add To Your Ignored User List
Ntb: It's in here, right near the end:

http://market-ticker.org/akcs-www?post=1....

----------
I don't care if it makes sense -- only if it makes money. -- Me
Bank (n): See scam, fraud and theft. Eat a bankster -- they're low-carb.
What part of "shall not be infringed" was unclear?
Olduser
Posts: 287
Incept: 2009-09-11
Silver
Mile High
Report This As A Bad Post Add To Your Ignored User List
Thank you.

----------
No, folks, we will not do this voluntarily.
We'll do it the hard way. - Karl Denninger

I only care what is and I just prepare. - Genesis
Ssaini
Posts: 13
Incept: 2010-01-15
Silver
New Jersey
Report This As A Bad Post Add To Your Ignored User List
Whaoooooooooo... Karl you have just hit a Home Run.

Even now if the people don't start coming out on the streets then they deserve to get what they are getting.

May God Bless USA and all of US.
Orionstarman
Posts: 223
Incept: 2009-08-04
Green
Kingsville MD
Report This As A Bad Post Add To Your Ignored User List
Have watched that series many times and emailed it to a bunch of people.

----------
"They that can give up essential liberty to obtain a little temporary safety deserve neither liberty nor safety." Ben Franklin
http://www.enotes.com/history/discuss/what-does-this-quote-mean-they-that-can-give--84001
Jinxx0r
Posts: 4252
Incept: 2007-08-10
Silver
Report This As A Bad Post Add To Your Ignored User List
Living in an O(2^N) world...

Quote:
All the so-called "economists" (cough-Krugman-cough!) and the various commentators both in the mainstream media and blogosphere either do not understand this or simply refuse to accept and discuss it.


He gets it, he just doesn't care. He's a politician now, not an economist.

Harrisonact
Posts: 1937
Incept: 2010-10-04

canada
Report This As A Bad Post Add To Your Ignored User List
burn them at the stake first, you know, in case there's a sudden termite invasion.

you can still find them not guilty afterwards. no biggie.

----------
bilge
My playbook speaks español. Deal with it. Im too lazy or stupid to fix it. Pick either.
Augmentedfourth
Posts: 153
Incept: 2010-04-16

Report This As A Bad Post Add To Your Ignored User List
There have been recent studies that indicate humans have an innate logarithmic understanding of numbers/quantity. IIRC, it has been demonstrated through experiments done with infants, toddlers and indigenous peoples who have no 'formal' mathematical knowledge.

If you really think about it, base 10 is just a kludge; A tradition we're stuck with because once-upon-a-time our digits were the only counting devices we had.
Ntb
Posts: 1039
Incept: 2007-10-11
Green
UK - the flat earth middle bit
Report This As A Bad Post Add To Your Ignored User List
Thanks Karl - I see it was him. Well worth watching.

----------
Science is interesting. If you don't agree you can f*ck off.
Sparticlebrane
Posts: 287
Incept: 2009-08-25


Banned
Report This As A Bad Post Add To Your Ignored User List
Quote:
It was dry and I bet nobody went and watched the whole series; it was basically an hour long.


I didn't watch it, only because I watched it awhile ago when someone linked it in a discussion on a Ticker (I can't remember which). :)

Thanks, to the person who linked that a few days ago.
Bagbalm
Posts: 4325
Incept: 2009-03-19
Green
Just North of Detroit
Report This As A Bad Post Add To Your Ignored User List
99% = the inumerate?
Abn0rmal
Posts: 9261
Incept: 2009-01-10
Green A True American Patriot!
Report This As A Bad Post Add To Your Ignored User List
Augmentedfourth wrote..
There have been recent studies that indicate humans have an innate logarithmic understanding of numbers/quantity. IIRC, it has been demonstrated through experiments done with infants, toddlers and indigenous peoples who have no 'formal' mathematical knowledge.
I'm not sure that's true.

The most I've ever dealt with exponentially changing quantities was starting up and shutting down nuclear reactors and the only way to manage the process was to have instruments that read out in logarithmic scales to make the change appear to be linear.

I don't think that a human could watch a five decade per minute change (unaided by logarithmic instruments) for an entire minute and mentally conceive what was going on.
Sparticlebrane
Posts: 287
Incept: 2009-08-25


Banned
Report This As A Bad Post Add To Your Ignored User List
Quote:
There happens to be a particular species of pond lily that is extremely prolific. In fact it grows so fast that it doubles in size through both growth and reproduction in just one day.


You are speaking of duckweed, right? Stuff gets EVERYWHERE...smiley

Halfbrite
Posts: 2459
Incept: 2008-10-13
Green
Arizona via California
Report This As A Bad Post Add To Your Ignored User List
Interesting KD. You are explaining our crisis based upon immutable math. During my years of studying the Bible and how it relates to the physical world, I decided that God was a mathematician. Most everything in nature contains a mathematical, proportional, repeating relationship, from fibonacci patterns, to tree leaves, to sub-atomic physics.

Math is like God - it just is, whether you believe it or not.

----------
"That which cannot continue, will not continue. Brace for impact!"
Vidad
Posts: 97
Incept: 2010-08-15
Green
Florida
Report This As A Bad Post Add To Your Ignored User List
Kickass post.
Susanjbear
Posts: 419
Incept: 2010-06-10
Gold
Salt Lake City, Utah
Report This As A Bad Post Add To Your Ignored User List
Karl, in your abundant spare time ;)

start writing childrens' textbooks and put that in your arithmetic textbook.

Either that, or write "Financial Suicide for Dummies."

This has got to be one of your best in-your-face-with-math posts ever.

----------
Susan
Login Register Top Blog Top Blog Topics FAQ
Showing Page 1 of 3  First123Last