Exam 9: Propositional Logic-Propositions

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. Doing laundry is not fun.

The disjunction of two contradictory statements is itself a:

If at least one conjunct of a conjunction is a tautology, then the conjunction itself is a:

Choose which symbol to use for "just in case" and "just in the event that."

Put the following statement into symbolic notation, using appropriate letters to abbreviate atomic components. If the paper arrives in time, then I will read it with breakfast.

The statement form p $\subset$ q is:

If neither disjunct of a disjunction is a tautology, then the disjunction itself is a:

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. Thomas and James worked on writing up their separate contracts.(T, J)

The negation of a contingency is itself a:

Put the following statement into symbolic notation, using appropriate letters to abbreviate atomic components. Julianne will try for the green with a long iron, or else chip out onto the fairway.

The conjunction of two consistent statements is itself a:

Put the following statement into symbolic notation, using appropriate letters to abbreviate atomic components. He will quit his job if and only if he gets a big raise.

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.(Assume the semicolon is the location of the main connective.) If thine enemy hunger, feed him; if he thirst, give him drink.(H, F, T, D)

Put the following statement into symbolic notation, using appropriate letters to abbreviate atomic components. The bill will pass only if the liberals are happy with it, and the conservatives either accept the higher spending levels or add a workfare provision to it.

The statement form p $\bigvee$ q is:

For the following statement, identify (a) the atomic statements; (b) the main components; (c) the connectives; and (d) the main connective. [( $\bigvee$ F) $\equiv$ C] • ~J

If neither disjunct of a disjunction is a contingency, then the disjunction itself is a:

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

The statement form p $\leftrightarrow$ q is:

If neither main component of a biconditional is a self-contradiction, then the biconditional itself is a: