MHB Solving 10-14 Equivalence Arguments: R to neg(w v s)

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The discussion centers around solving equivalence arguments related to the logical expressions involving r, w, and s. Participants analyze the implications of negating the disjunction of w and s in relation to r, emphasizing the need for clarity in presenting logical formulas. Suggestions are made to improve readability by using a formula editor and organizing the content into clearer sections. There is also a call for the poster to explain the missing problem 14 for better understanding. Overall, the thread highlights the importance of clear communication in mathematical discussions.
chelseajjc95
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10.) neg[r\implies neg(w v s)] 13.) r\implies neg(w v s)
----------------------------- R
R^(wvs) --------------------------
neg(w v s)
11.) r\implies neg(w v s)
w v s 14.) r\implies neg(w v s)
------------------------- -------------------------
neg R (w v s)\implies neg r

12.) R
---------------
r v (w v s)
 
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Your post is hard to read. Please do the following to improve it.

  1. Use formula editor to typeset formulas.
  2. The editor does not support alignment in text (unless you use tags such as [m]code[/m] and [m]m[/m]), so you should not rely on it.
  3. Explain the meaning of horizontal lines.
  4. Write the problems in one column. It seems that the text was copied from a two-column PDF.
  5. Write the problem statement in the post body rather than the post title, following https://mathhelpboards.com/rules/.
  6. Show your attempts at solving the problems, or describe the difficulty you are having, following rule 11.
  7. Break the thread into two or three so that each one has one or two problems, foloowing rule 8.
  8. Explain the missing problem 14.
 
There is a nice little variation of the problem. The host says, after you have chosen the door, that you can change your guess, but to sweeten the deal, he says you can choose the two other doors, if you wish. This proposition is a no brainer, however before you are quick enough to accept it, the host opens one of the two doors and it is empty. In this version you really want to change your pick, but at the same time ask yourself is the host impartial and does that change anything. The host...

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