Quote:
|
Originally Posted by Undertoad
They need not. For example, during the same time frame, advances in farming have radically changed how food is produced, massively increasing the amount of food that can be produced in that land.
Pre-industrialization, most civilized countries required 50% of their population to be farmers in order to produce enough food. Now that number is about 1%. Things change.
|
Modern agriculture has not prevented famine in places like parts of Africa, India, and South America. Increasing population also means increasing degredation of the environment. Witness the pollution of the oceans, smog, the hole in the ozone layer, on and on. Technology will only take us so far, and its not nice to fool with Mother Nature.
Quote:
|
Originally Posted by Undertoad
 If you can find the person who taught you math, sue them for malpractice.
|
From your favorite source,
Wikipedia (emphasis my own):
In mathematics, a quantity that grows exponentially (or geometrically) is one that grows at a rate proportional to its size. Such growth is said to follow an exponential law. This implies that for any exponentially growing quantity, the larger the quantity gets, the faster it grows. But it also implies that the relationship between the size of the dependent variable and its rate of growth is governed by a strict law, of the simplest kind: direct proportion. It is proved in calculus that this law requires that the quantity is given by the exponential function, if we use the correct time scale. This explains the name. An example of exponential growth is Human population, if the number of births and deaths per person per year were to remain constant
I'll send you the name of my lawyer if you wish to file a math malpractice suit of your own.
Quote:
|
Originally Posted by Undertoad
and keep the lawyers around for the people who taught you spelling and grammar
|
As for spelling, Lord knows my teachers tried. I have been spelling challenged since Kindergarten.