Rot13'ed, just in case.
V'z abg fher jul lbh'er vagrerfgrq va zl ernpgvba gb guvf cnegvphyne gevpx (gur rssrpg vf n ovg haqrejuryzvat), ohg V'yy whfg tb guebhtu zl jubyr gubhtug cebprff urer, fb lbh pna cvpx bhg jungrire lbh jnagrq.
V'z hasnzvyvne jvgu zntvpvna'f jnk, fb V whfg nffhzr vg'f yvxr abezny jnk. Gryyre jnezf vg hc gb znxr vg fgvpx naq oraqf gur pneq rabhtu gung vg jvyy ubyq ba whfg oneryl. Vg'f pyrne gung jura ur chyyf gur "guernq", ur nyfb chfurf qbja ba gur gnoyr jvgu gur bgure unaq naq chyyf njnl jvgu uvf guhzo.
Zl svefg thrff jnf gung ur tvirf gur gnoyr n yvggyr chfu gb znxr gur pneq whzc hc, ohg gung frrzf haeryvnoyr. Vg'f qbar va n fghqvb, fb V thrff gurl pbhyq tb guebhtu rabhtu gnxrf hagvy gurl trg vg whfg evtug, ohg gung'f abg C&G'f fglyr.
Nyfb, gur ivqrb vf gbb hapyrne gb gryy vs gurer rira vf nal jnk ng nyy, ohg gur xvq jbhyq pregnvayl frr vg ng gung qvfgnapr, naq znlor vs lbh sbyq gur pneq evtug be whfg hf n yvggyr ovg bs fcvggyr, lbh pbhyq rira qb jvgubhg vg, ohg gung'f rira zber haeryvnoyr.
V jngpu gur jubyr ivqrb ntnva, abgvpvat gung gur tynff pbhagre unf n fbzr oynpx pbire ba vg naq Craa'f nez arire zbirf njnl sebz vg. Nyfb, Gryyre chfurf gur pneq qbja va n jrveq jnl, fb ur cebonoyl cnyzf vg naq cynprf n cer-sbyqrq bar. Ur pregnvayl pna trg evq bs gur jnk gung jnl. Svanyyl, gurer'f cebonoyl fbzrguvat jvgu gur qrpx, znlor n fcevat zrpunavfz, gung Gryyre gevttref jvgu uvf yrsg unaq, znlor guebhtu n guernq Craa uvq jvgu uvf nez gur jubyr gvzr. Be n ohggba haqrearngu gur cvrpr bs pybgu. Be rira rnfvre, Craa gevttref vg bhg bs fvtug.
N fcevat jbhyq or n ovg gevpxl gb frg hc (naq gb uvqr nsgrejneqf jvgubhg znxvat bgure pneqf whzc), ohg qbnoyr. Znlor gur qrpx unf n gval ubyr va vg, n guernq tbvat guebhtu vg naq vf tyhrq gb gur gbc pneq, juvpu Gryyre sbyqf hc jura cnyzvat gur bgure bar. Craa gura chyyf gur guernq guebhtu gur qrpx jvgu uvf bss-fperra unaq, abguvat ubyqf gur pneq qbja, vg whzcf hc naq n ovg bs tyhr be jnk erznvaf. Abg fher juvpu irefvba vf rnfvre gb qb. Gur frpbaq bar vf zrnare orpnhfr vg unf vagragvbany snxr zvfqverpgvba sbe gur xvq gb abgvpr (Gryyre'f yrsg unaq), fb V yrna gbjneqf gung zrgubq. (Nyfb, gung jbhyq tvir gur gevpx frireny ynlref bs zvfqverpgvba, juvpu svgf sebz n zrgn crefcrpgvir naq rkcynvaf jul lbh oebhtug vg hc. Gheaf vg vg'f zber vagrerfgvat guna V vavgvnyyl gubhtug.)
Fb va gbgny, Gryyre cynprf jnk, qryvorengryl arire fubjf gur pneq pyrneyl, cnyzf naq ercynprf vg, cynprf n frpbaq, cer-sbyqrq bar (znlor jvgu fbzr fcvggyr) ba n snxr qrpx, gevttref n fcevat be chyyf n guernq guebhtu gur qrpx, "Vf guvf lbhe pneq?". Gur xvq pna arire ercebqhpr vg naq V jebgr gbb zhpu nobhg vg.
(Naq Craa'f unve. Jbj. Gung'f gur erny zntvp va guvf ivqrb.)
This is the (possibly true) explanation of the trick that P&T gave in Cruel Tricks for Dear Friends:
...Jura Craa jnf va gur guebrf bs jevgvat gur "Vaivfvoyr Guernq" fubeg fgbel, ur pnzr gb zr bar qnl naq nfxrq zr vs V xarj bs n gevpx gung jbhyq fvzhyngr gur cerfrapr bs vaivfvoyr guernq va gur cvgpu. Ab fhpu gevpx rkvfgrq. "Qbrf vg unir gb jbex?" V fnvq.
"Bs pbhefr abg. Vg whfg unf gb or cynhfvoyr." Fb nsgre n yvggyr qvfphffvba jr pnzr hc jvgu gur vqrn bs gur pneq jvgu gur oraq, uryq syng ntnvafg gur qrpx ol n onyy bs jnk, ju
In Fake Explanations, Yudkowsky offered a story that has stuck in my mind:
In this story it is also telling that in the many thoughts and explanations that surfaced, the idea "the teacher turned the plate around" was never considered. The students failed to see the correct answer because they weren't thinking creatively enough. While the correct approach in this situation is indeed to notice your confusion, a worthwhile approach still could be to list all the possible solutions you think could be the answer. (And of course only list real solutions that you actually understand, not fake ones.)
So how can we improve this ability to expand our creativity when it comes to considering explanations, so things like "the teacher turned the plate around" enters our list of considerations?
One possible answer: study magic tricks.
In addition to writing and reading stuff on the internet, another hobby I like to indulge in is doing magic tricks with a deck of cards. Many of the tricks I know are very impressive, such as making cards switch places or appearing to read people's minds. However, a lot of the tricks I know are very stunningly simple; some of them don't even involve slight of hand, and could be done by ten-year-olds with little practice. They're just that that cleverly crafted.
I learned a lot of these tricks from YouTube -- many videos will show you a trick and then teach you how it is done. Personally, I don't find the revelation of a trick to take away any of my enjoyment, because I find joy in the merely real, and care little for perpetuating mystery.
However, these YouTube videos for how tricks are done also provide a very effective test for your rationality: watch the trick on the video, and after it is done, pause the video. Spend a good amount of time thinking through the trick, and then finally start thinking through ways you think the trick was done. Only after you have your guesses should you learn how the trick actually was done.
I find that in doing this, I would quickly learn how to think creatively, and found that this not only allowed me to much more effectively figure out how card tricks were done before actually hearing the solutions, but also found that this creativity allowed me to become better at suggesting further hypotheses to other previously confusing situations, as well as becoming better at deliberating to solutions in previously intractable problems.
Not to mention that I managed to learn some rather impressive card tricks.
Good YouTube Magic Lessons: