Robots Will Steal Your Job

Robots Will Steal Your Job, But That's OK is an audiobook that explores the impact of technological advances on our lives, what it means to be happy, and provides suggestions on how to avoid a systemic collapse. Written by Federico Pistono and read by Ian R Buck.

Exponential Growth

Episode #3

Most people do not fully grasp the implications of exponential growth. Federico presents us with some examples to help illustrate it.

Chapter Index

00:00 | Intro
00:25 | Chapter Begins
05:58 | 3.1 Explosive Power
12:33 | Outro

Figures

Figure 1.1: Chessboard With Grain Counts
Figure 1.1: Top left, it begins with 1 grain. It goes on to the right with 2, 4, 8, 16... then numbers grow too big, we start to use the binary notation: K=kilo (1 thousand), M = Mega (1 million), G = Giga (1 billion), T = Tera (1 trillion), P = Peta (1 quadrillion), E = Exa (1 quintillion).
Figure 1.2: Cup filling with bacteria.
Figure 1.2: On the left, at minute zero, there are no bacteria in the glass. On the right, after a certain amount of doublings, the bacteria filled the whole thing. But what happens at minute 55 (in the centre)?

References

  1. Sustainability 101: Arithmetic, Population, and Energy, Albert Bartlett.
    http://jclahr.com/bartlett/
  2. The reason is for this quite simple. 70 is approximately 100ln(2). So, doublingtime 100ln(2) 69:3. If you want the time to triple the formula is: triplingtime 100ln(3) 109:8. The time to grow n-times is 100ln(n).
  3. Rule of 70. Wikipedia.
    http://en.wikipedia.org/wiki/Rule_of_70
  4. According to other accounts, it was a legendary Dravida Vellalar. Dravidian peoples is a term used to refer to the diverse groups of people who natively speak languages belonging to the Dravidian language family. Populations of speakers of around 220 million are found mostly in Southern India. Vellalars (also, Velalars, Vellalas) were, originally, an elite caste of Tamil agricultural landlords in Tamil Nadu, Kerala states in India and in neighbouring Sri Lanka; they were the nobility, aristocracy of the ancient Tamil order (Chera/Chola/Pandya/Sangam era) and had close relations with the different royal dynasties named Sessa or Sissa.
    http://en.wikipedia.org/wiki/Dravidian_peoples
    http://en.wikipedia.org/wiki/Vellalar
    There exist many different variation of the same story, one set in the Roman Empire involving a brave general and his Cæsar, another with two merchants at the market, all different situations producing the same result.
    http://en.wikipedia.org/wiki/Wheat_and_chessboard_problem
  5. Image courtesy of Wikipedia.
    http://en.wikipedia.org/wiki/File:Wheat_Chessboard_with_line.svg

Attributions

Copyright

The Robots Will Steal Your Job, But That's OK Audiobook is released under a Creative Commons — Attribution-NonCommercial-ShareAlike 3.0 Unported license. Feel free to use any or all of it as long as you link back to http://thenexus.tv/rsj3, you do not use it for commercial purposes, and you release any derivative works under the same license.