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The first link is no confirmation that it is the same person that wrote the nutty piece that you first cited. If he did it would be a black mark on what would otherwise appear to be a distinguished career. The second link merely refers to the "exponential growth" in links to websites so is irrelevant to this discussion. Exponential means nothing more than acceleration or deceleration in respect to time. The third link profoundly concludes, "If an organization is nurturing the positive feedbacks (and neutralizing the limiting effects of balancing feedbacks), it will see exponential growth." So it too is irrelevant to this discussion. I cam only repeat, there is nothing inherently exponential about positive feedback. It depends on how you use it and whether or not you intend for it to be there and for what purpose. What is exponential about the triode oscillator at saturation? What is exponential about the clock escapement which feeds energy into the pendulum with each tick of the clock? What is exponential about a falling object at its terminal velocity? You can indeed construct positive feedback systems that are accelerating exponentially. You can also construct negative feedback systems that are decelerating exponentially. So what? The point is there is nothing *inherently* exponential about either. <**>By obvious, I mean if you attended a scientific meeting and said that positive feedback was not an exponential formula, you would be like someone who attended a mechanics meeting and stated that the carburetor should be attached to the top of the radiator. The concept is that obvious.<**> ------------------- Obvious to a poorly read, uneducated crank. Positive feedback is not an exponential formula. The exponential formula is the exponential formula. It is meaningless when applied to something that is not inherently exponential, like systems with positive feedback that are not exponential or systems with negative feedback that are not exponential. It has meaning when applied to something that is exponential if that exponentiality is caused by positive feedback or whatever else that is the cause of that exponentiality. Would you like me to demonstrate systems with *negative* feedback that are exponential due to the negative feedback? I will do so in a subsequent post. -- <**>Negative feedback can stop the positive feedback from being exponential, so that the overall effect is not exponential.<**> -------------------- Where is the negative feedback in the triode oscillator? There is only positive feedback. Where is the negative in the clock escapement? -- <**>For example, the exponential formula of compound interest can be alleviated by bankruptcies, which inject interest-free/debt-free money into the economy (albeit in an unpleasant way).<**> -------------------- First, interest is not an example of positive feedback, so the feedback argument in respect to interest is irrelevant. Second, every contract calling for the payment of compound interest translates into a simple rate of interest. That translation is required in most consumer contracts as a matter of law. The two numbers mean exactly the same thing as a matter of pure mathematics and reflect in the same stream of total payments, but the compounding number makes the rate of interest seem deceptively low. There is no "dynamic" difference between the two. It takes a crank to see something that isn't there. The term "compounding interest" is rapidly becoming illegal as a matter of law. Its only value is to cranks like yourself, or con men Third, bankruptcy injects nothing into the economy. "Dan Parker" <[EMAIL PROTECTED]> wrote in message news:<TSwrb.33731$% [EMAIL PROTECTED]>...
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