Exam 9: Propositional Logic-Propositions

Put the following statement into symbolic notation, using appropriate letters to abbreviate atomic components. I did not pass the test, but I did learn something.

Put the following statement into symbolic notation, using appropriate letters to abbreviate atomic components. It's not true that if I'm your friend, I'll let you copy my exam.

If neither disjunct of a disjunction is a self-contradiction, then the disjunction itself is a:

Prove the following claim: A conditional with a tautological consequent must itself be a tautology.

The connective used for negations is:

If only one main component of a biconditional is a contingency, then the biconditional itself is a:

Put the following statement into symbolic notation, using appropriate letters to abbreviate atomic components. Now I lay me down to sleep, and pray the Lord my soul to keep.

For the following statement, identify the component statements and the connective(s).Then put the statement in symbolic form using the letters indicated in parentheses, and construct a truth table for it. You can get either soup or salad with the meal.(U, A)

Put the following statement into symbolic notation, using appropriate letters to abbreviate atomic components. Jennie wanted to save the ship, but neither the passengers nor the crew were willing to help.

If neither conjunct of a conjunction is a tautology, then the conjunction itself is a:

Prove the following claim: If p is a tautology and q is a contingency, then p $\supset$ q is contingent.

In the truth table for the statement form p $\supset$ q, the column of truth values underneath the main connective should be:

Two statements are inconsistent.Therefore:

Put the following statement in symbolic form using the letters indicated in parentheses: Although I could not feel the pain, I knew I had to try to help.(F, H)

For the following statement, identify (a) the atomic statements; (b) the main components; (c) the connectives; and (d) the main connective. ~B $\supset$ (A $\supset$ B)

Put the following statement into symbolic notation, using appropriate letters to abbreviate atomic components. The times are easy and the living is good.

The statement form p $\equiv$ q is:

Prove the following claim: A conjunction with one self-contradictory conjunct must itself be a self-contradiction.

Put the following statement into symbolic notation, using appropriate letters to abbreviate atomic components. If spring does not come soon, they will be playing baseball in the snow.

Prove the following claim: If p $\equiv$ q is a tautology, then p and q are equivalent statements.