Question

Grading Standard: -1/4 point for each error (e.g., missing a logical connective, using the wrong logical connective, not correctly identifying the number of ideas in a complex sentence).

construct a symbolic model of the logical structure of the following sentences. (9 points, 1.5 points each)

3.1) President Trump could have contracted COVID-19 from either Hope Hicks or Ronna McDaniel.

3.2) Censorship of hate speech has been shown throughout history to do more harm than good in promoting equality, dignity, inclusivity, diversity, and societal harmony.

3.3) The stock market will continue to do well if the Federal Reserve does not raise interest rates at its next meeting.

3.4) If you are going to understand the phenomenal growth in packaging and appreciate where packaging is heading, then you need to examine the top trends in the packaging industry.

3.5)  Microsoft should not be split into separate companies if and only if this would harm the economy and would not stimulate competition.

3.6) You can work a full-time job over the summer or you can take a full load of classes, but you cannot do both.

Answer 1

Answer-

Symbolic model of the logical structure of the sentences in question are as follows:-

3.1) H v R

Here H> Hope Hicks

         R> Ronna McDaniel

3.2) H~G

Here, H= Hate speech

         G>Good(more than good)

3.3) S≡ I

Here, S>stock market

           I>Interest rates

3.4) T⊃ G

Here, T>Trends

        G>Growth

3.5) S≡(~H•~T)

3.6) ~(F•C)

Here, F>full time job

      C>classes

=> Note:- PL symbols for symbolic model used in the answer are ~, v,  • , ⊃  , ≡  which signifies “not”, “or”, “and”, “if”, “then” or “implies to” respectively.