Sufficiency Necessity confusion

Comments

• ENTJ Alum Inactive ⭐

  December 2013 edited December 2013 3658 karma

  Haha. Good one. I believe that would be construed as a bi-conditional statement if you entered the indicators: "If and only if" or "If but only if".
• Bret Cypel Alum Member

  December 2013 122 karma

  There is no logical indicator in the phrase "Mind on the Money and Money on the Mind".
  
  You could make the sentence, "If I have my mind on the money, then I have money on my Mind".
  
  In this sentence, "mind on the money" would be the sufficient condition and "money on my mind" would be the necessary condition.
  
  You could also make it, "I do not have my mind on the money, until I have the money on my mind".
  
  This would have the same meaning as the earlier sentence, since "until" is a negate sufficient logical indicator.
  
  Ultimately, the phrase you originally wrote " Mind on the money and Money on the Mind" is not a conditional statement, because I believe it lacks a subject, a predicate, and a logical indicator.
  
  However, very good question!
• Luis89011 Alum Member

  December 2013 48 karma

  right right, lol, i dont know how common it is for snoop to sing complete sentences. And then I heard it, and I automatically thought, well, If I have my mind on the money and then I have money on my mind, and then got an answer choice that reversed it, since its the same subject matter, could there be confusion?
• 1 Like

  Bret Cypel Alum Member

  December 2013 edited December 2013 122 karma

  What do you mean by an answer choice that "reversed it". Are you talking about the contrapositive?
  
  The contrapositive of "If I have my mind on the money, then I have the money on my mind" (MNDonMNY-> MNYonMND) would be:
  
  "If I do not have the money on my mind, then I do not have my mind on the money" (/MNYonMND->/MNDonMNY)
  
  Like Simpaticonx was saying, the sentence may also be a biconditional if you insert the phrase "if and only if":
  
  "I have my mind on the money, 'if and only if', I have the money on my mind."
  
  Which breaks down into:
  1) "If I have my mind on the money, then I have the money on my mind"
  2) "If I have my money on my mind, then I have my mind on the money"
  
  The contrapostive to this biconditional would be:
  
  "I do not have my mind on the money, if and only if, I do not have the money on my mind"
  
  Which then breaks down similarly to the example above.
  
  If you were simply just asking whether the phrase (my mind on my money/my money on my mind) is confusing because the two components are so similar... then yes, I would say it could be confusing... lol
  
  Does this answer your question?
• Luis89011 Alum Member

  December 2013 48 karma

  yeah its def easier as a bi-conditional and the components are def confusing, lol. I was saying in the form, if J->F, and the lsat does the common wrong answer F->J, would the wrong answer (F->J) or " I have money on the mind, then I have mind on the money; would that be suff necc confusion with the components being so similiar, and of course I havent seen it that similiar yet, but I havent done too many PT's. Thanks for helping bret, this is awesome.