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Discursive Judges


Best Answer BMAD, 06 May 2013 - 10:34 PM

Spoiler for social choice theory
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10 replies to this topic

#1 BMAD

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Posted 05 May 2013 - 11:18 PM

The accused is brought forth in front of the tribunal.  The three judges must hear the accusations and the defense to make a determination of innocent or guilt.  In this particular case, the accused is found guilty ( C ) if the action in question is defined as illegal (P) and the accused committed the action (Q) or in other words  5f05ad1c81b996c02d8ea766ce370e72.png.  Judge number 1 found both P and Q true, Judge number 2 found only Q true, and Judge number 3 found only P true.  Should the accused be found guilty?


Edited by BMAD, 05 May 2013 - 11:20 PM.

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#2 vistaptb

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Posted 05 May 2013 - 11:45 PM

Spoiler for This is interesting


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#3 bonanova

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Posted 05 May 2013 - 11:49 PM

OP says

 

the accused is found guilty ( C ) if the action in question is defined as illegal (P) and the accused committed the action (Q) or in other words  5f05ad1c81b996c02d8ea766ce370e72.png.

 

That is implication: P and Q -> C. 

Do you mean if and only if?

 

Or does it matter?


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The greatest challenge to any thinker is stating the problem in a way that will allow a solution.
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#4 bonanova

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Posted 06 May 2013 - 12:05 AM

Spoiler for regardless, looks like

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- Bertrand Russell

#5 BMAD

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Posted 06 May 2013 - 12:41 AM

OP says

 

the accused is found guilty ( C ) if the action in question is defined as illegal (P) and the accused committed the action (Q) or in other words  5f05ad1c81b996c02d8ea766ce370e72.png.

 

That is implication: P and Q -> C. 

Do you mean if and only if?

 

Or does it matter?

In other words, the judges agree that a defendant should be liable only if P and Q are both true.


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#6 bonanova

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Posted 06 May 2013 - 04:09 AM

And that's all we need to solve.
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The greatest challenge to any thinker is stating the problem in a way that will allow a solution.
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#7 BMAD

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Posted 06 May 2013 - 04:13 AM

And that's all we need to solve.

Yes.  there is no additional information needed.


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#8 bonanova

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Posted 06 May 2013 - 05:16 AM

Which leads to the posts, #2 and #4, where the solution is given.


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The greatest challenge to any thinker is stating the problem in a way that will allow a solution.
- Bertrand Russell

#9 witzar

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Posted 06 May 2013 - 08:33 AM

Spoiler for

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#10 vigmeister

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Posted 06 May 2013 - 06:32 PM

Spoiler for variant

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