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OfflineAnnomM
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Registered: 12/22/02
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A surprise test is impossible!
    #2105255 - 11/14/03 09:26 AM (13 years, 22 days ago)

It has been argued that a paradox arises if someone, usually a teacher, says that he will give a surprise test, i.e. a test whose future date is not specified. The argument is as follows:

Assume classes to be held only from Monday through Friday.
a. A teacher says he will give a surprise test the next week;

If

b. the test is not given by Thursday night,

c. it has to be on Friday,

d. But then it wouldn't be a surprise, since trivially, a test which is not a surprise is not a surprise test.

e. Thus, a surprise test cannot be given on Friday.

If

f. the test has not been given by Wednesday night,
g. it has to be on either Thursday or Friday.

h. But, from e, a surprise test cannot be given on Friday.

i. Thus, it must be given on Thursday.

j. But, d.

k. So a surprise test cannot be given on Thursday.

If

l. the test has not been given by Tuesday night,

m. it has to be on either Wednesday, Thursday or Friday.

n. But by e and k, exclude Thursday and Friday, so ...

The reader can see than an inductive proof is in the offing. Similar argumentation will exclude all the days of the (school) week as possibilities for giving a surprise test. Thus, it seems, a paradoxical situation arises: if one announces a surprise test, one cannot give one. This is indeed strange considering that any unannounced test is (considered to be) a surprise test. Also, by saying merely, "I will give a test sometime next week" without specifying the day of the week, one can still give a test that is something of a surprise.

:confused: :wink: :tongue:         


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Offlinefireworks_godS
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Re: A surprise test is impossible! [Re: Annom]
    #2105267 - 11/14/03 09:30 AM (13 years, 22 days ago)

No one is giving me any test any time soon.... :grin:
Peace.


--------------------
:redpanda:
If I should die this very moment
I wouldn't fear
For I've never known completeness
Like being here
Wrapped in the warmth of you
Loving every breath of you

:heartpump: :bunnyhug: :yinyang:

:yinyang: :levitate: :earth: :levitate: :yinyang:


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OfflineAnnomM
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Re: A surprise test is impossible! [Re: fireworks_god]
    #2105303 - 11/14/03 09:45 AM (13 years, 22 days ago)

What's wrong with this reasoning?  :smile:



Edited by Annom (11/14/03 12:12 PM)


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Offlinefireworks_godS
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Re: A surprise test is impossible! [Re: Annom]
    #2105340 - 11/14/03 10:00 AM (13 years, 22 days ago)

Quote:

Annom said:
What's wrong with reasoning?  :smile: 




You have to have a reason to do it. :grin:
Peace.


--------------------
:redpanda:
If I should die this very moment
I wouldn't fear
For I've never known completeness
Like being here
Wrapped in the warmth of you
Loving every breath of you

:heartpump: :bunnyhug: :yinyang:

:yinyang: :levitate: :earth: :levitate: :yinyang:


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Invisiblekaiowas
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Re: A surprise test is impossible! [Re: Annom]
    #2105346 - 11/14/03 10:02 AM (13 years, 22 days ago)

now I don't know what you're trying to say :lol: 


--------------------
Annnnnnd I had a light saber and my friend was there and I said "you look like an indian" and he said "you look like satan" and he found a stick and a rock and he named the rock ooga booga and he named the stick Stick and we both thought that was pretty funny. We got eaten alive by mosquitos but didn't notice til the next day. I stepped on some glass while wading in the swamp and cut my foot open, didn't bother me til the next day either....yeah it was a good time, ended the night by buying some liquor for minors and drinking nips and going to he diner and eating chicken fingers, and then I went home and went to bed.---senior doobie


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Invisiblemuhurgle
Turtles all theway down

Registered: 10/29/03
Posts: 299
Re: A surprise test is impossible! [Re: kaiowas]
    #2105678 - 11/14/03 12:06 PM (13 years, 22 days ago)

The students of the logic class says to their teacher:

"You can't give us a surprise test, it's impossible, we have proved it"

The next day the teacher pulls out a test:

"And since you had convinced yourselves that I couldn't give you a surprise test, this test will come as a complete surprise"


--------------------
"To make this mundane world sublime
Take half a gram of phanerothyme."

Aldous Huxley


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OfflinePhluck
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Re: A surprise test is impossible! [Re: Annom]
    #2106043 - 11/14/03 01:32 PM (13 years, 22 days ago)

A good thing to do, if you're a teacher, is to say you're going to have a suprise test in the week, and then have it on friday.

Then the kids study every night.


--------------------
"I have no valid complaint against hustlers. No rational bitch. But the act of selling is repulsive to me. I harbor a secret urge to whack a salesman in the face, crack his teeth and put red bumps around his eyes." -Hunter S Thompson
http://phluck.is-after.us


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OfflineSole_Worthy
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Registered: 04/20/03
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Re: A surprise test is impossible! [Re: Phluck]
    #2106492 - 11/14/03 03:32 PM (13 years, 22 days ago)

just as i was about to say


--------------------
get it all together get like birds of a feather


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