Quote:
Originally Posted by D
Nope... what I said is what I meant.
Systems of equations can expand faster than "exponentially."
Faster than exponential growths include doubly exponential (e.g. y^(e^x)), etc. and hyperbolically (the fastest form of growth we currently conceive of, I believe - typically used when dealing with matters of infinity and positive-feedback systems, such as black holes and what-not).
I think if you tell yourself something that you can affect is going to happen - the chances of that occurrence actually happening when compared to the suggestion not being there are at least squared (increased exponentially) and at most a mathematical near-certainty (increased hyperbolically).
Hope that clears what I meant up for you.
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Yes I know they CAN. I have a degree in physics. just don't understand why you would make such a strong mathematical claim about something difficult to quantify. "Did he really think he was going to succeed or did he just say it would"?
Also. what do you mean by your example?
"I think if you tell yourself something that you can affect is going to happen - the chances of that occurrence actually happening when compared to the suggestion not being there are at least squared" So if there is a 50/50 chance of me hitting a free throw normally then you have .5/.5 = 1. You square that and still get 1.
But I think you mean the chances of the event NOT happening are squared. So a 50/50 free throw shooter has a 1/2 chance of missing. Square that and you get 1/4 which is the new chance of missing. So you could will yourself into being a 75% free throw shooter instead of 50%. I find that difficult to believe. There are NBA players who practice thousands and thousands of free throws for a decade and don't improve that much. Lack of envisioning their success?
And so a 50% free throw shooter can become 75% purely through willpower? And then a 75% free throw shooter could become a 94% shooter?
And this is the MINIMUM improvement one might make? They might approach
100% certainty of making a free throw if they believe they can?
It just ignores all kinds of limitations. How well do I have to envision my being able to dunk a basketball in order to actually do it? The only time I ever dunked a basketball I was sleeping.