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Old 05-11-2008, 07:23 PM   #1 (permalink)
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Default Agh! Paradox!
Hey guys, I just want to discuss some of the best logical paradoxes out there. I was just reading this one:

http://en.wikipedia.org/wiki/Unexpected_hanging_paradox

And I thought it was real interesting!

Any comments? Other paradoxes?
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Old 05-11-2008, 07:54 PM   #2 (permalink)
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Maybe it's because I'm tired but WHAT?
Quote:
A judge tells a condemned prisoner that he will be hanged at noon on one day in the following week but that the execution will be a surprise to the prisoner. He will not know the day of the hanging until the executioner knocks on his cell door at noon that day.

Having reflected on his sentence, the prisoner draws the conclusion that he will escape from the hanging. His reasoning is in several parts. He begins by concluding that if the hanging were on Friday then it would not be a surprise, since he would know by Thursday night that he was to be hanged the following day, as it would be the only day left. Since the judge's sentence stipulated that the hanging would be a surprise to him, he concludes it cannot occur on Friday.

He then reasons that the hanging cannot be on Thursday either, because that day would also not be a surprise. On Wednesday night he would know that, with two days left (one of which he already knows cannot be execution day), the hanging should be expected on the following day.

By similar reasoning he concludes that the hanging can also not occur on Wednesday, Tuesday or Monday. Joyfully he retires to his cell confident that the hanging will not occur at all.

The next week, the executioner knocks on the prisoner's door at noon on Wednesday — an utter surprise to him. Everything the judge said has come true.
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Old 05-11-2008, 08:00 PM   #3 (permalink)
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Well of course lol, I understand this. By calculating when CAN he get hanged, he came to the conclusion that there is no day he will get hanged so he didn't expect he will get hanged at all. So it came as a surprise. What's so confusing in that case? The only thing is that he was stupid and, expecting the worst to happen, he would never get hanged as he would expect it to happen any day. This story is a c**p.
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Old 05-11-2008, 08:03 PM   #4 (permalink)
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Oh, now when I found and read the answers, lol, I'm a bit surprised but I still think I was right.

a)
Quote:
The prisoner will be hanged next week and its date will not be deducible from the assumption that the hanging will occur sometime during the week
In that case that would be a lie, so judge wouldn't be right as it HAD to happen that week.

b)
Quote:
The prisoner will be hanged next week and its date will not be deducible in advance using this statement as an axiom
???
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a firewall is like a gate. it keeps the bad people out and the dog in but it's not fool proof. but lets say you download and run an infected program. that will be like letting in a "friend." if it's infected you run that program you can get malware. that's like a friend raping your family and stealing your money.
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Old 05-11-2008, 08:11 PM   #5 (permalink)
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Lol. I do get it too, I just thought it was interesting.

I found another good one:

The Monty Hall Paradox

http://youtube.com/watch?v=mhlc7peGlGg&feature=related
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Old 05-12-2008, 03:48 AM   #6 (permalink)
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I like the grandfather paradox: http://en.wikipedia.org/wiki/Grandfather_paradox
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Old 05-12-2008, 01:51 PM   #7 (permalink)
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I liked the Monty Hall paradox! I'm just amased with that logic.
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a firewall is like a gate. it keeps the bad people out and the dog in but it's not fool proof. but lets say you download and run an infected program. that will be like letting in a "friend." if it's infected you run that program you can get malware. that's like a friend raping your family and stealing your money.
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Old 05-12-2008, 03:25 PM   #8 (permalink)
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i've never heard of the grandfather paradox, but i did think about something like that a few times before, and i was never able to come up with an answer until i saw Deja vu. LOL
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Old 05-12-2008, 04:45 PM   #9 (permalink)
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I have argued the grandfather paradox before... I can an will argue anything regardless of how pointless it is.
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Old 05-12-2008, 06:57 PM   #10 (permalink)
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Hehe same for me, that's a dark side of me. I will never stop discussing until I'm proven right or until we find some deal that's good for me and for my 'opponent'. T_T
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a firewall is like a gate. it keeps the bad people out and the dog in but it's not fool proof. but lets say you download and run an infected program. that will be like letting in a "friend." if it's infected you run that program you can get malware. that's like a friend raping your family and stealing your money.
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