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 “if p then q” and “q” one concludes “p”;
(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: Which of the following statements about converse, inverse and contrapositive of conditionals are correct?
(A) The converse of “If p then q” is “If q then p”;
(B) The inverse of “If p then q” is “If not p then not q”;
(C) The contrapositive of “If p then q” is “If not q then not p”;
(D) A conditional statement is always logically equivalent to its converse;
(E) A conditional statement is logically equivalent to its contrapositive;
(F) In exam questions, confusing a conditional with its converse can lead to affirming the consequent;
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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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Q: Which of the following statements about conditionals and necessary–sufficient conditions in logical reasoning are correct?
(A) A statement of the form “If p then q” is false only when p is true and q is false;
(B) A necessary condition for q is one without which q cannot occur;
(C) A sufficient condition for q is one that, if it holds, guarantees q in the given context;
(D) Confusing necessary and sufficient conditions can lead to fallacies such as affirming the consequent;
(E) In the statement “If it rains, the ground gets wet”, rain is treated as a sufficient condition for wet ground;
(F) “Being a square” is necessary but not sufficient for “being a rectangle”;
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Q: Which of the following statements about basic conditional argument forms are correct?
(A) Modus ponens has the form “If p then q; p; therefore q”;
(B) Modus tollens has the form “If p then q; not q; therefore not p”;
(C) Affirming the consequent has the form “If p then q; q; therefore p” and is a valid argument form;
(D) Denying the antecedent has the form “If p then q; not p; therefore not q” and is generally invalid;
(E) Both affirming the consequent and denying the antecedent are typically considered formal fallacies;
(F) In UGC NET reasoning, recognising modus ponens and modus tollens helps distinguish valid inferences from these fallacies;
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