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Surprise Test Paradox

שו"תSurprise Test Paradox
שאל לפני 2 שנים

Something I thought in my sleep (!) Maybe it's nonsense, I'll write it down and see if it's worth sending to you.
What do you say:
The paradox occurs when we tell a story that comes from a rational position and takes place in the real world.
The paradox occurs in a completely rational classroom and conflicts with our familiarity with an irrational and short-sighted world… as follows:
Let's even assume that only the teacher is completely irrational (in my opinion, there is no such thing as a completely rational classroom, but for the sake of it)
The test cannot take place on Saturday – our teacher understands this – but that's where it stops, because in his great stupidity, he assumes that the test can be administered on Friday and surprise his rational students.
And so the rational students know that the test will not take place on Shabbat, but on Friday, who knows – with such a stupid teacher –
And that's where it stops.
According to my humble guess, this is how it actually happens in reality.
In a rational world, the teacher lied and indeed there is no surprise exam, no exam or no surprise.
Now let's take off our glasses that see a stupid world in which "unsurprising but still surprising surprises" occur and examine the story with a purely rational perspective:
A teacher and students learned about the paradox, and then the teacher "surprised" them and announced a surprise test that would be given next week. In this case, everyone is rational. Then the smart students should say this: The teacher is now "irrational and not by chance" and is lying – or there will be no test and if there is, it will not be a surprise. The students, who are worried about their grades, are preparing for the worst – this week there will be a test that will not be a surprise. They hope with all their heart that their irrational lying teacher will graciously administer it on Sunday and save them from six more days of unnecessary assessments, but secretly they fear that he will take advantage of his momentary insanity and administer the test on Saturday (we've already taken into account the surprise effect anyway, it's equivalent to a teacher administering tests every day of the week). So in his evil manipulation of lazy students, he achieved results that are equivalent to a real surprise examiner, but there was no surprise here, the test can be administered on Saturday without surprising anyone, the teacher lied. And if one of our premises is that the teacher doesn't lie, that's just a meta-language paradox.


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0 Answers
מיכי צוות ענה לפני 2 שנים
Continued question: Regarding the previous question, I may actually be repeating what you already said… I managed to forget. If I didn't actually innovate anything, forget that I wrote anything. My apologies.

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