Final answer:
The student's question pertains to symbolic logic and involves concepts such as disjunctive syllogism, modus ponens, and modus tollens, which are rules of inference used to evaluate the validity of deductive arguments in Mathematics.
Step-by-step explanation:
The student's question involves interpreting logical expressions and understanding deductive reasoning, which is a topic in Mathematics, specifically within the field of logic. This type of problem assumes a familiarity with symbolic logic notation and rules of inference such as disjunctive syllogism, modus ponens, and modus tollens.
A disjunctive syllogism is a form of argument where one begins with a disjunction, P ∨ Q (P or Q), and one of the disjuncts is negated, ¬P (¬ is the negation symbol), allowing one to conclude the other disjunct, Q.
Modus ponens is the rule where one can infer the consequent of a conditional statement when given the conditional statement, P → Q (If P, then Q), and the antecedent P. Modus tollens allows one to infer the negation of the antecedent of a conditional statement if given the conditional statement P → Q and the negation of the consequent, ¬Q.
These patterns of reasoning are at the core of the validity of many deductive arguments. By understanding and applying these logical forms correctly, one can assess whether an argument is valid, meaning that if the premises are true, the conclusion must also be true.
The complete question is: Construct A Proof For The Following Argument? Problem1: 1. (R ∨ M) ⊃ S 2. M ∨ C 3. (C ∨ H) ⊃ R 4.∼M / S Problem 2: 1. B 2. (D ∨ ∼Q) ⊃ [(R ⊃ H)