With an exponential function, you won’t know there’s a problem until it’s one minute to midnight…then, it will be too late”

- Albert A. Bartlett, Professor Emeritus & author of Arithmetic, Population and Energy

To discriminate the truth from fiction, you need to think for yourself. The issues confronting us are too important to be swayed by rhetoric not based on true knowledge. There is a  movement of skepticism and conspiracy theory against the unpleasant research knowledge that science is producing. These vague critiques, not based in rational, scientific thinking comes mostly from those uneducated in science and mathematics….the failure of our own education system coming back to haunt us.

Arithmetic, Population and Energy

Thankfully, to really understand how we humans messed things up so badly, you need  understand  only one thing;  exponential growth. You need to understand how:


2 = 2

4 = 2 x 2

8 = 2 x 2 x 2

16 = 2 x 2 x 2 x 2

32 = 2 x 2 x 2 x 2 x 2

64 = 2 x 2 x 2 x 2 x 2 x 2

Leads to this…

Which leads to this…


Startling Features of Exponential Growth

  • The result of the last generation of growth will be equal to the sum of all results of previous generations of growth combined
  • 70 divided by the annual percentage growth rate gives you the number of years for doubling
  • With an exponential growth, you won’t know there is a problem until one minute to midnight and then, it will be too late