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Progress and Predictions
  • Progress and Predictions
  • Introduction
    • The Story of The Creator of Chess
    • Paper folding
    • Characteristics of Exponential Functions
    • Every Doubling is Greater Than All Previous Doublings Combined
    • Looking at It Backwards
    • We Are Not Wired Like This
      • Example: Diamandis on Corona virus
      • Example: PC Pioneers on the Internet
      • Opinion: Daniel Kahneman: ‘Clearly AI is going to win.'
    • Why Did Some Attempts At Innovation Fail?
    • Moore's Law
    • Law of Accelerating Returns
    • Quantum Computing
    • 😅Collect Pictures of Old Computers
  • Automator
    • Introduction
    • 😅The Kind of Things a Computer Would Never Be Able To Do
    • Kasparow's Law
    • AlphaGo
    • IBM Watson
    • Robots
  • Mover
    • Introduction
    • Connecting All 7+ Billion People
    • 😅Self-Driving Vehicles
      • our collection
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    • Point to Point
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    • Internet of Things
    • 3D Printing, Additive Manufacturing
    • 😅What Questions Should We Ask?
  • Lifeforce
    • Introduction
    • Longevity Escape Velocity
    • End of Disease
    • Hallmarks of Aging
    • Cultured Meat
    • Plant Based Meat (Meet?)
    • Fermentation
    • 😅Can We Live Forever? Should We?
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    • Virtual Reality (VR)
    • 😅Search for Videos of People Experiencing VR
    • Augmented Reality (AR)
    • Mixed Reality (MR)
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  • Power
    • Introduction
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    • 100% of Energy Needs Met From Solar
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On this page
  • 2 > 1
  • 4 > 1+2
  • 8 > 1+2+4
  • 16 > 1+2+4+8
  1. Introduction

Every Doubling is Greater Than All Previous Doublings Combined

PreviousCharacteristics of Exponential FunctionsNextLooking at It Backwards

Last updated 1 year ago

check this out.

2 > 1

4 > 1+2

8 > 1+2+4

16 > 1+2+4+8

Going back to the wheat on the chessboard example, the first square on the second half of the chessboard has more grain than the entire first half. (The number of grans on the second half of the chessboard is equal to the square if tge number of grains on the first half of the board, plus itself.)