Symbolic Logic : Sentential Logic

Study concepts, example questions & explanations for Symbolic Logic

varsity tutors app store varsity tutors android store

Example Questions

Example Question #1 :Sentential Logic

Which of the following statements is NOT a definition of sentential logic?

Possible Answers:

Ifandare formulas thenis a formula as well.

Ifandare formulas thenis a formula as well.

Only,,, andare formulas.

Ifis a formula thenis a formula as well.

Ifandare formulas thenis a formula as well.

Correct answer:

Only,,, andare formulas.

Explanation:

stuff

Example Question #2 :Sentential Logic

Which of the following statements is NOT a definition of sentential logic?

Possible Answers:

Ifis a formula thenis a formula as well.

Ifandare formulas thenis a formula as well.

Ifandare formulas thenis a formula as well.

Only,,, andare formulas.

Ifandare formulas thenis a formula as well.

Correct answer:

Only,,, andare formulas.

Explanation:

It is important to recall that sentential logic has a very specific definition that outlines and describes different formulas.

There are seven different statement criteria when discussing sentential logic and they are as follows.

I. Ifis a formula thenis a formula as well.

II. Ifandare formulas thenis a formula as well.

III. Ifandare formulas thenis a formula as well.

IV. Ifandare formulas thenis a formula as well.

V. Ifandare formulas thenis a formula as well.

VI. All upper case letters are formulas

VII. Nothing else is a formula.

Looking at the possible answer selections, I, II, III, and IV are part of the sentential logic definition thus, "Only,,, andare formulas." is NOT in the definition. This can be verified by part VI in the definition which states that all upper case letters are formulas.

Example Question #3 :Sentential Logic

Which of the following statements is part of the definition for sentential logic?

Possible Answers:

Ifis a formula then so is.

Ifandare formulas thenis a formula as well.

Ifis a formula then so is.

Anything and everything can be considered a formula.

Every lower case letter is a formula.

Correct answer:

Ifandare formulas thenis a formula as well.

Explanation:

It is important to recall that sentential logic has a very specific definition that outlines and describes different formulas.

There are seven different statement criteria when discussing sentential logic and they are as follows.

I. Ifis a formula thenis a formula as well.

II. Ifandare formulas thenis a formula as well.

III. Ifandare formulas thenis a formula as well.

IV. Ifandare formulas thenis a formula as well.

V. Ifandare formulas thenis a formula as well.

VI. All upper case letters are formulas

VII. Nothing else is a formula.

Looking at the possible answer selections only IV is part of the sentential logic definition thus, "Ifandare formulas then我是公式。”n the definition.

Learning Tools by Varsity Tutors