Which of these is true? Select one: a. All arguments with tautological conclusions are valid. b. All premises that are not tautological are contradictory. c. All arguments with contradictory conclusions are invalid. d. All arguments with true conclusions are valid.
Added by Tony B.
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Step 1: The statement "All arguments with tautological conclusions are valid" is true because any argument with a tautological conclusion is considered valid regardless of the premises. Show more…
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2. If a deductive argument is valid and all of its premises are true, then a. The conclusion must be true b. The conclusion is probably true c. The argument must be sound d. None of the above 3. If a deductive argument has a false premise, then a. The conclusion must be false b. The argument must be invalid c. The argument must be unsound d. None of the above 4. If a deductive argument has a false conclusion, then a. The argument must have a false premise b. The argument must be invalid c. The argument must be unsound d. None of the above 5. If a deductive argument has all true premises and a false conclusion, then a. The argument must be invalid b. The argument must be unsound c. Both a and b d. None of the above
Sri K.
Whenever an argument is valid a. it has a true conclusion. b. it has true premises and a true conclusion. c. it has true premises if it has a true conclusion. d. it has a true conclusion if all of its premises are true. e. it is sound. f. it is sound if all its premises are true. g. it has a true conclusion if it is sound. h. it has a false conclusion if it has a false premise. i. it either has a true conclusion or has at least one false premise. j. it does not have all true premises with a false conclusion. k. it has consistent premises. Every invalid argument a. has a false conclusion if all its premises are true. b. has true premises and a false conclusion, c. has inconsistent premises. d. has a false conclusion. e. is unsound. f. has consistent premises.
Bailey C.
Determine whether each argument is valid or invalid. If it is valid, give a proof. If it is invalid, give an assignment of truth Values to the variables that makes the premises true and the conclusion false. $$\begin{array}{l}{p \rightarrow q} \\ {\frac{q \rightarrow p}{p \wedge q}}\end{array}$$
Logic
Analyzing Arguments and Proofs
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