″.. but technological change feeds on itself, and therefore has a positive second derivative.”
Nitpick: If technological progress were merely quadratic in time, then too it would have a positive second derivative. Kurzweil of course claims something much stronger—that technological progress is exponential in time, which means the first derivative and all succeeding derivatives are also exponential.
″.. but technological change feeds on itself, and therefore has a positive second derivative.”
Nitpick: If technological progress were merely quadratic in time, then too it would have a positive second derivative. Kurzweil of course claims something much stronger—that technological progress is exponential in time, which means the first derivative and all succeeding derivatives are also exponential.