Validity of Implication Arguments in Movie Reviews

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SUMMARY

The argument presented in the discussion regarding the validity of implication arguments in movie reviews is valid. The premises are symbolically represented as follows: 1. Not W → Not ME, 2. W → R, and 3. Not R → Not W. The conclusion drawn is that since "The Good, The Bad and The Mathematician" was not reviewed by Ivor Smallbrain, it follows that the movie was not made in England. The logical structure confirms the validity of the argument.

PREREQUISITES
  • Understanding of symbolic logic and implication arguments
  • Familiarity with logical operators (e.g., implication, negation)
  • Basic knowledge of movie review criteria
  • Experience with argument validity assessment
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Students of philosophy, logic enthusiasts, film critics, and anyone interested in understanding the structure and validity of arguments in movie reviews.

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Homework Statement



Is the argument below valid? If it's valid, write down the argument symbolically.

If a movie is not worth seeing, then it was not made in England. A movie is worth seeing only if critic Ivor Smallbrain reviews it. The movie The Good, The Bad and The Mathematician was not reviewed by Ivor Smallbrain. Therefore The Good, The Bad and The Mathematician was not made in England.

The Attempt at a Solution



I use ME for "made in England", W for "worth seeing", R for "reviewed/s".

1. Not W - > not ME (If a movie is not worth seeing, then it was not made in England.)
2. W - > R (A movie is worth seeing only if critic Ivor Smallbrain reviews it)
3. not R- > not W (The movie The Good, The Bad and The Mathematician was not reviewed by Ivor Smallbrain)
4. According to the first statement, the movie was not made in England.

Please, check if I am wrong/correct.

Thanks.
 
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That is correct.
 
mfb said:
That is correct.

Thank You, mfb.
 

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