I was doing true and false and these questions are giving me a lot issues. I hav

Question

I was doing true and false and these questions are giving me a lot issues. I have troubles with formal logic. Please help with T or F for questions a thru e.

A. The rule of modus tollens indicates that if we have a conditional and then denial of its antecedent, we may validly infer the denial of its consequent.

B. A single line in a proof may constitute more than one application of a rule or rules of inference.

C. Conjunction is an equivalence rule.

D. Conjunction is an equivalence rule.

E. The rule of conjunction indicates that if we have a conjunction, you may validly infer either conjunct.

Explanation / Answer

A. F ( Given a conditional claim and the denial to its consequent, you can deduce the denial of the antecedent.)

B. F

C. F ( Conjuction is AND ,T only if both conjuncts are T)

D. F ( Conjuction is AND ,T only if both conjuncts are T)

E. F ( Conjuction is AND ,T only if both conjuncts are T i.e if conjunction is T then both conjuncts are T but if conjunction is F,then either of the conjuncts or both can be F)

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