It is natural and demonstrable that, given equivalent initial values, an exponential function will resolve to lower values than any linear function. If the exponential function is slow enough, which it may well be, it would be easy to conclude from observation that, since at no point has the exponential function exceeded the linear function, it shall never do so. As anyone knowledgeable in mathematics or aware of the conclusions of the Malthusian model could tell, however, this is certainly not the case. Speculation in the absence of inductive reasoning might lead one away from discovering an imminent disaster, if one is to
It is natural and demonstrable that, given equivalent initial values, an exponential function will resolve to lower values than any linear function. If the exponential function is slow enough, which it may well be, it would be easy to conclude from observation that, since at no point has the exponential function exceeded the linear function, it shall never do so. As anyone knowledgeable in mathematics or aware of the conclusions of the Malthusian model could tell, however, this is certainly not the case. Speculation in the absence of inductive reasoning might lead one away from discovering an imminent disaster, if one is to