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Exam 9: Propositional Logic-Propositions

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Question 61

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Two statements have opposite truth value on at least one row of their truth tables.Therefore, the statements are:

A) equivalent
B) contradictory
C) consistent
D) inconsistent
E) unable to determine from the information given

F) A) and E)
G) A) and D)

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Question 62

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Put the following statement into symbolic notation, using appropriate letters to abbreviate atomic components. If someone says "It is not the money," then it definitely is the money.

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Question 63

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Put the following statement into symbolic notation, using appropriate letters to abbreviate atomic components. Either the boots fit and you buy them, or you save your money.

The connective "~" is called:

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

The statement form p & q is:

If the antecedent of a conditional is a self-contradiction, then the conditional itself is a:

In the statement form p $\bigvee$ q, the component statement variables p and q are called:

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

Use the following key to formulate an English statement that corresponds to the given symbolic statement.P: You will pass the LSAT.L: You figure out how to do the logic games quickly. P $\equiv$ L

If neither main component of a biconditional is a contingency, then the biconditional itself is a:

Two statements are equivalent.Therefore, they are also:

Put the following statement into symbolic notation, using appropriate letters to abbreviate atomic components. If the Wades cannot find someone to stay with for free, then they will look for a cheap hotel.

A conditional statement where both the antecedent and consequent are consistent statements is itself a:

If only one conjunct of a conjunction is a contingency, then the conjunction itself is a:

Identify the components and the connective in the following statement.Then put the statement into symbolic form, using appropriate letters to stand for the components. If we get tickets, then we will see the Nutcracker Suite.

Put the following statement in symbolic form using the letters indicated in parentheses: If the earth stopped rotating on its axis and there was no natural explanation for it, it must have been a miracle.(S, N, M)

If neither conjunct of a conjunction is a self-contradiction, then the conjunction itself is a:

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

Put the following statement into symbolic notation, using appropriate letters to abbreviate atomic components. Either it rained or the Wilsons' barbecue went as planned.