Dave Kinkead


  1. Exponential Growth, Finite Limits

    Here’s an interesting thought experiment from Al Bartlett to test your understanding of exponential growth:

    Imagine an empty bottle that contains just 1 cell of bacteria.  Every minute, the bacteria divides and doubles.  At 11:00 AM, there is just 1 cell.  At 12:00 PM, the bottle is full.

    At what time is the bottle 50% full of bacteria?

    At what time is the bottle 1% full?

    At what time would the bacteria realise they are running out of space? (Let’s grant them some intellect & agency)

    Now suppose when the bottle is 1% full, some enterprising bacterium discovers 3 new bottles (that’s a 400% increase in available space).  At what time are all 4 bottles full?

    Now the math here is incredibly simple.  The real challenge is getting your head around the consequences of geometric growth within finite constraint. 

    (hint: human consumption is doubling about every 25 years)