GPT-2 as step toward general intelligence (2019)
AGI -- artificial general intelligence?<p>With the efforts currently getting the most attention in the tech news, are we on the way to AGI?<p>Gee, I worked in <i>artificial intelligence</i> the last time.  Wrote code, published papers, gave talks. My view at the time and since is the same -- that work had no promise of progress toward AGI.<p>For what I&#x27;ve seen about the current efforts, for whatever utility has been achieved, it appears that the output is based on <i>borrowing, distilling, abstracting</i> from the input of what has already been done and published.<p>Soooo, we could consider questions with   no published answers or at least answers rarely published and now not easy to find.  Here are three such:<p>(1) I&#x27;ll return to just a plane geometry puzzle question I encountered as college freshman: By classic Euclidean construction, construct a triangle ABC with point D on AB and point E on BC so that the lengths AD = DE = EC.<p>(2) In the Kuhn-Tucker conditions of nonlinear optimization, are the Kuhn-Tucker and Zangwill constraint qualifications independent?<p>(3) Do the wave functions of quantum mechanics form a Hilbert space?  Physics texts commonly claim &quot;Yes&quot; but with the usual pure math definition of a Hilbert space as a &quot;complete inner product space&quot; the answer is &quot;No&quot;.  In what is published, mostly the physics texts ignore the pure math definition and the pure math texts ignore the quantum mechanics wave function examples -- so a clean answer is not easy to find in the usual published material.<p>More generally, for a good pure mathematician about to publish some good, new results, before publishing, ask that question to current AI.<p>Maybe for an easier source of questions, just pick some of the more difficult exercises from some graduate texts in pure math.  Correct solutions have not commonly been published, and some of the exercises require some understanding of the math in the text and some ingenuity.<p>Here&#x27;s another chance:  Once when I was teaching computer science at Georgetown University, as a final exam question I gave the code for quick sort where I had inserted an error -- the question was to find and correct the error.  So far that error and its correction may never have been published.