### All Symbolic Logic Resources

## Example Questions

### Example Question #1 : Sentential Logic

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

**Possible Answers:**

If and are formulas then is a formula as well.

If and are formulas then is a formula as well.

If and are formulas then is a formula as well.

Only , , , and are formulas.

If is a formula then is a formula as well.

**Correct answer:**

Only , , , and are formulas.

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### Example Question #2 : Sentential Logic

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

**Possible Answers:**

If and are formulas then is a formula as well.

Only , , , and are formulas.

If and are formulas then is a formula as well.

If is a formula then is a formula as well.

If and are formulas then is a formula as well.

**Correct answer:**

Only , , , and are formulas.

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. If is a formula then is a formula as well.

II. If and are formulas then is a formula as well.

III. If and are formulas then is a formula as well.

IV. If and are formulas then is a formula as well.

V. If and are formulas then is 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 , , , and are 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 #2 : Sentential Logic

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

**Possible Answers:**

Every lower case letter is a formula.

If is a formula then so is .

If and are formulas then is a formula as well.

Anything and everything can be considered a formula.

If is a formula then so is .

**Correct answer:**

If and are formulas then is a formula as well.

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. If is a formula then is a formula as well.

II. If and are formulas then is a formula as well.

III. If and are formulas then is a formula as well.

IV. If and are formulas then is a formula as well.

V. If and are formulas then is 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, "If and are formulas then is a formula as well." is in the definition.