GPT-4 is all imagination and no logic. That's because logic gets you into the hall of mirrors talked about in this book<p><a href="https://en.wikipedia.org/wiki/G%C3%B6del,_Escher,_Bach" rel="nofollow">https://en.wikipedia.org/wiki/G%C3%B6del,_Escher,_Bach</a><p>The dirty little secret is that Godel's theorems apply to <i>problems for which the correct solution is defined in terms of logic</i> not to <i>systems which try to solve problems with logic.</i> Thus a problem which is problematic is problematic if you try to solve it with a SAT solver or a neural network.<p>But really, most people give up pretty quickly when asked to do something open ended. If you told a line of people that you'd push them into a meat grinder if they didn't brainstorm 100 ideas you'd probably have to push the first one so that the rest of them believe you but the rest of them will give you exactly 100 ideas.