krash,
I suggest you reread everything I posted.
You haven't posted anything pertaining to the Exponential function, because you refuse to learn this FUNDAMENTAL law of Mathematics.
The greatest shortcoming of the human race is the inability to understand the Exponential Function".
Albert Bartlett, Professor Emeritus (physics).
ahh yes, yes.. more elementary minded comments.
shrugs.
Yes, shrugging is an expression of ignorance or disinterst. As you are replying to my post you cannot be disinterested. Thus in this case it is an expression of ignorance on the subject.
A shrug is a gesture that is performed by lifting both shoulders up, and is a representation of an individual either not knowing an answer to a question, or not caring about a result
https://en.wikipedia.org/wiki/Shrug
Have you learned about the exponential function yet? If not, you cannot claim to be well informed and your derogatory comments (grunts) about my posts, and Bartlett's knowledge, and the accuracy of the wiki definition (and functionality), and denial of exhaustion of finite resources, and denial of population growth, are an expression of ignorance, which reminds me of this little anecdote.
Exponential stories
Rice on a chessboard
According to an old legend, vizier Sissa Ben Dahir presented an Indian King Sharim with a beautiful, hand-made chessboard. The king asked what he would like in return for his gift and the courtier surprised the king by asking for one grain of rice on the first square, two grains on the second, four grains on the third etc. The king readily agreed and asked for the rice to be brought. All went well at first, but the requirement for 2 n − 1 grains on the nth square demanded over a million grains on the 21st square, more than a million million (aka trillion) on the 41st and there simply was not enough rice in the whole world for the final squares. (From Swirski, 2006)
In this example, each square represented a doubling time.
And you say this is idiotic, just like that King did, before he learned the power of the Exponential function.
So we have quite a list of denials, without any coherent counter arguments. Now who is the idiot?
Give me another shrug and confirm my assessment of your intellectual abilities.
I hope you do at least understand that I am not supporting Futilist's proposition, because I admit that I have no deep understanding of what he is trying to prove. In his case, I can shrug, not from derision but from the the fact that I have not studied that subject and cannot comment intelligently on his proposition.
However, in context of oil depletion, I do know something about the exponential function and I also know that you are completely ignorant of the term as well as the defined mathematical function.
After all, you asked what that means and for me to explain it to you, to which I generously responded with ample and reliable information, which apparently you did not read or did not understand.
So, unless I get a lucid answer on any of my questions, I must assume that you are detemined to remain ignorant of the subject and just remain rude, a clear sign of discomfort.