Q: Which of the following statements about hypothetical syllogisms are correct?
(A) A valid pure hypothetical syllogism can have the form: If p then q; if q then r; therefore if p then r;
(B) Mixed hypothetical syllogisms combine at least one conditional premise with a categorical premise;
(C) Modus ponens and modus tollens are examples of mixed hypothetical syllogisms;
(D) Any argument with two conditionals and one categorical conclusion is automatically valid;
(E) In UGC NET reasoning, students may be tested on identifying such syllogistic forms;
Choose the correct answer from the options given below:
Q: Which of the following statements about analogical reasoning are correct?
(A) Analogical reasoning involves inferring that two situations share further properties because they share some known similarities;
(B) The strength of an analogy depends partly on how relevant the similarities are to the conclusion;
(C) A single superficial similarity is always sufficient to make an analogy strong;
(D) Differences between source and target cases can weaken an analogical argument;
(E) In UGC NET logical reasoning, analogies may appear in both verbal and non-verbal forms;
(F) In a strong analogy, the differences between cases are more important than the similarities;
Choose the correct answer from the options given below:
Q: Select the wrong statement(s) about reductio ad absurdum (reasoning by contradiction):
(A) In reductio, we temporarily assume the negation of the conclusion to be proved;
(B) We then show that this assumption leads to a contradiction or unacceptable consequence;
(C) If a contradiction arises, the original assumption is rejected and the negation of that assumption is accepted;
(D) In Indian Buddhist dialectics, prasaแน
ga often uses a similar pattern of deriving absurd consequences from an opponentโs view;
(E) Any argument that contains a contradiction in its premises is automatically a correct reductio;
Choose the correct answer from the options given below:
Q: Which of the following statements about necessary and sufficient conditions are correct?
(A) If p is sufficient for q, then whenever p is true, q must be true;
(B) If q is necessary for p, then p cannot be true without q being true;
(C) Saying โp is necessary and sufficient for qโ means that p and q are logically equivalent;
(D) A condition can be both necessary and sufficient in some contexts;
(E) Confusing necessary with sufficient conditions can lead to invalid inferences in reasoning questions;
(F) If p is necessary for q, then q can never be true when p is true;
Choose the correct answer from the options given below:
Q: Which of the following statements about cause and effect reasoning are correct?
(A) In causal reasoning, we try to establish that one event is a contributing factor to another;
(B) A post hoc fallacy assumes that because one event follows another, the first must be the cause of the second;
(C) Comparing cases that differ only in one relevant factor can help test causal hypotheses;
(D) Mere temporal succession is always sufficient to establish a genuine causal link;
(E) In UGC NET reasoning, some questions on cause and effect ask for the most plausible explanation among alternatives;
(F) Whenever two variables are correlated, it automatically proves that one causes the other;
Choose the correct answer from the options given below:
Q: Select the wrong statement(s) about basic logical connectives and implication:
(A) The conjunction โp and qโ is true only when both p and q are true;
(B) The disjunction โp or qโ in the inclusive sense is false only when both p and q are false;
(C) The implication โif p then qโ is false only when p is false and q is true;
(D) The biconditional โp if and only if qโ is true when p and q have the same truth value;
(E) In truth-functional logic, the truth value of a compound statement depends on the truth values of its components;
Choose the correct answer from the options given below:
Q: Which of the following statements about conversion and obversion of categorical propositions are correct?
(A) Conversion interchanges the subject and predicate terms of a categorical proposition;
(B) A and O propositions in traditional logic are not simply convertible, but E and I propositions are;
(C) Obversion changes the quality (affirmative/negative) and replaces the predicate with its complement;
(D) The obverse of โAll S are Pโ is โNo S are non-Pโ, which is logically equivalent to the original;
(E) In UGC NET questions, knowledge of conversion and obversion helps in deciding whether two statements are equivalent;
Choose the correct answer from the options given below:
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