All Symbolic Logic Resources
Example Questions
Example Question #1 : Sentential Logic
Which of the following statements is NOT a definition of sentential logic?
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.
If is a formula then is a formula as well.
Only , , , and are formulas.
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?
If is a formula then is a formula as well.
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 and are formulas then is a formula as well.
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 #3 : Sentential Logic
Which of the following statements is part of the definition for sentential logic?
Anything and everything can be considered a formula.
If is a formula then so is .
If and are formulas then is a formula as well.
If is a formula then so is .
Every lower case letter is a formula.
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.
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