Q: Which of the following statements about validity, soundness and fallacies in arguments are correct?
(A) An argument is valid if, assuming its premises are true, the conclusion must also be true;
(B) An argument can be valid even if some of its premises are actually false;
(C) Affirming the consequent is a fallacy where from βif p then qβ and βqβ one concludes βpβ;
(D) In a sound argument, either the premises are false or the argument is invalid;
(E) Distinguishing validity from soundness is important in critical reasoning questions;
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Q: Select the wrong statement(s) about truth-functional connectives and logical status:
(A) In propositional logic, a conjunction βp and qβ is true only when both p and q are true;
(B) In inclusive disjunction, βp or qβ is false only when both p and q are false;
(C) The exclusive βeither p or q but not bothβ can be represented as β(p or q) and not(p and q)β;
(D) A contradiction is a statement that is true in every possible assignment of truth values;
(E) A tautology is a statement that is false in at least one row of its truth table;
(F) Truth tables can be used in UGC NET logical reasoning to test whether an argument form is valid;
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Q: Which of the following statements about common argument forms are correct?
(A) An argument of the form βIf p then q; p; therefore qβ (modus ponens) is valid;
(B) An argument of the form βIf p then q; not q; therefore not pβ (modus tollens) is valid;
(C) An argument of the form βIf p then q; q; therefore pβ (affirming the consequent) is valid;
(D) An argument of the form βIf p then q; not p; therefore not qβ (denying the antecedent) is valid;
(E) Validity of an argument depends solely on its logical form, not on the actual truth of its premises;
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Q: Which of the following statements about using truth tables to test validity are correct?
(A) A truth table can be used to check whether an argument form is valid by seeing if there is any row where all premises are true and the conclusion is false;
(B) If there is a row on the truth table where all premises are true and the conclusion is false, the argument form is invalid;
(C) If there is no row where all premises are true and the conclusion is false, the argument form is valid;
(D) Truth tables can only be used when there is exactly one premise in the argument;
(E) As the number of distinct simple statements increases, the number of rows in the truth table grows exponentially;
(F) For UGC NET Paper 1, candidates are normally expected to construct full truth tables with 64 rows in the exam hall for any complex item;
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Q: Which of the following statements about common argument forms are correct?
(A) Modus ponens is a valid argument form: If p then q; p; therefore q;
(B) Modus tollens is a valid argument form: If p then q; not q; therefore not p;
(C) Affirming the consequent is a valid argument form: If p then q; q; therefore p;
(D) Denying the antecedent is an invalid argument form: If p then q; not p; therefore not q;
(E) Recognising valid and invalid forms helps in assessing the correctness of arguments in reasoning questions;
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