# Exponential Growth

video

This chapter of the new Crash Course series has not yet been made available to the public.

Each week over the rest of 2014, in sequential order, a new chapter will be made publicly available (we've currently published up to Chapter 12)

If you don't want to wait, you can:

video

This chapter of the new Crash Course series has not yet been made available to the public.

Each week over the rest of 2014, in sequential order, a new chapter will be made publicly available (we've currently published up to Chapter 2)

If you don't want to wait, you can:

video

This chapter of the new Crash Course series has not yet been made available to the public.

Each week over the rest of 2014, in sequential order, a new chapter will be made publicly available (we've currently published up to Chapter 2)

If you don't want to wait, you can:

video

This chapter of the new Crash Course series has not yet been made available to the public.

Each week over the rest of 2014, in sequential order, a new chapter will be made publicly available (we've currently published up to Chapter 21)

If you don't want to wait, you can:

video

This chapter of the new Crash Course series has not yet been made available to the public.

Each week over the rest of 2014, in sequential order, a new chapter will be made publicly available (we've currently published up to Chapter 21)

If you don't want to wait, you can:

video

In the Crash Course we will learn a few foundational Key Concepts. None is more important than exponential growth. Understanding this will greatly enhance our chances to form a better future.

video

Esta breve presentación pretende ayudarlos a comprender el poder de la función exponencial. Si la población, la demanda de petróleo, la oferta de dinero o cualquier otra cosa aumentan con respecto a su proporción actual y dicho crecimiento se expresa mediante un gráfico a lo largo de un período determinado, dicho gráfico adoptará la forma de un palo de hockey.

Dicho de manera más simple, todo aquello que crece porcentualmente a lo largo del tiempo lo hace de forma exponencial.

Para ilustrar el poder del crecimiento exponencial utilizaré un ejemplo tomado de un magnífico trabajo del Dr. Albert Bartlett.

video

En el Crash Course aprenderemos algunos conceptos fundamentales. El más importante de todos ellos es el crecimiento exponencial. Una comprensión cabal de este concepto mejorará nuestras posibilidades de vivir un futuro mejor.

He aquí un clásico gráfico que muestra el crecimiento exponencial. Se trata de una curva en forma de “palo de hockey”, que representa una cantidad de algo a lo largo del tiempo. Para que una curva termine pareciéndose a ésta, ese algo que representa debe crecer de forma porcentual a lo largo del tiempo.

Cuanto más lenta sea la tasa porcentual de crecimiento más prolongado será el tiempo que se necesita para que la curva adopte la forma de un palo de hockey.

Otro concepto que debe quedar claro en este gráfico es que una vez que la función exponencial empieza a “repuntar”, incluso si la tasa porcentual de crecimiento se mantiene constante y, posiblemente, bastante baja, las cantidades siguen aumentando cada vez con mayor rapidez.

video

You are missing some Flash content that should appear here! Perhaps your browser cannot display it, or maybe it did not initialize correctly.

You are at the part of the Crash Course where everything you learned comes together into a single chapter. Chapter 19 contains a comprehensive view of how all of our problems are actually interrelated and need to be viewed as such or solutions will continue to elude us.

We will review the key trends, which appear to be converging on a very narrow window of the future. Here is a two-second recap of the key issues. If you have watched all of the videos until this point, you will undoubtedly see how they are connected:

Money, credit, growth. Exponential growth. Debt, future, history. Failure to save. Assets, housing, bubble, financial panic. Demographics, wealth, boomers, falling values. Fuzzy numbers. Energy, oil, growth. Peak Oil. Environment, resources, exploitation, change.

This chapter will connect the dots and beckon us toward the future.

video

You are missing some Flash content that should appear here! Perhaps your browser cannot display it, or maybe it did not initialize correctly.

In Crash Course Chapter 18: The Environment, Chris Martenson explains how multiple essential resources are being depleted at ever faster rates. Our money system requires continual economic growth, but energy depletion will run headlong into dwindling resource returns to limit future growth options. Overpopulation will increase competition and demand for fossil fuel energy sources such as crude oil and coal, as well as for natural gas and sources of alternative energy.

In this chapter, Peak Coal, Peak Uranium, and copper extraction are explored as illustrations challenging long-held assumptions about the inevitable certainty of continued global economic expansion. This chapter makes it easy to understand why careful management of our natural resources will be necessary for our economic and environmental future.