RUN Symbolic Logic Prose Sentence Into Formal Notation Questions

I’m working on a statistics multi-part question and need guidance to help me learn.

1.Translate the following prose sentence into formal notation, determine the values of the atomics, and then evaluate the formal sentence. The pronoun “I” refers to me, the professor, and the pronoun “you” refers to you, the student.

It is 2021, but the logic course is not finished.

2.Translate the following prose sentence into formal notation, determine the values of the atomics, and then evaluate the formal sentence. The pronoun “I” refers to me, the professor, and the pronoun “you” refers to you, the student.

You are sitting inside if you are a student, and you are taking a quiz.

3.Translate the following prose sentence into formal notation, determine the values of the atomics, and then evaluate the formal sentence. The pronoun “I” refers to me, the professor, and the pronoun “you” refers to you, the student.

Both if I am a Rutgers–Camden professor then I teach at Rutgers–Camden and you are a student at Rutgers–Camden.

4.Translate the following prose sentence into formal notation, determine the values of the atomics, and then evaluate the formal sentence. The pronoun “I” refers to me, the professor, and the pronoun “you” refers to you, the student.

Unless only if you are not a student you should not be in the class, this class is a Rutgers–Camden class.

5.Translate the following prose argument into formal notation, and then determine whether the formal argument is valid and whether it is sound. The pronoun “I” refers to me, the professor, and the pronoun “you” refers to you, the student.

If you are a student, then I am a professor. I am not a professor. Therefore, you are not a student.

6.Translate the following prose argument into formal notation, and then determine whether the formal argument is valid and whether it is sound. The pronoun “I” refers to me, the professor, and the pronoun “you” refers to you, the student.

If I am a professor and this is a Rutgers–Camden course, then you are a student. I am a professor; this is a Rutgers–Camden course. Therefore, you are not a student.

7.Translate the following prose sentence into formal notation, being sure to identify any ambiguities and, where possible, to resolve them charitably. The pronoun “I” refers to me, the professor, and the pronoun “you” refers to you, the student.

It is false that you are not a student if and only if I am a professor.

8.Translate the following prose sentence into formal notation, being sure to identify any ambiguities and, where possible, to resolve them charitably. The pronoun “I” refers to me, the professor, and the pronoun “you” refers to you, the student.

It is 2021 or it is 2020 only if you are not a student.

9.Translate the following prose argument into formal notation, and then determine whether the formal argument is valid and whether it is sound. Be sure to identify any ambiguities and, where possible, to resolve them charitably. The pronoun “I” refers to me, the professor, and the pronoun “you” refers to you, the student.

Either it is 2020 or it is 2021 only if it is false that we are meeting in person and you have not used Zoom. It is 2020 unless it is 2021. Therefore: it is false that both we are meeting in person and you have not used Zoom.