Question

For all students x, if x studies discrete mathematics, then x is good at logic. tarik studies discrete mathematics. ∴ tarik is good at logic

a) Conjunction
b) Disjunction
c) Implication
d) Biconditional

Answer 1

The argument presented follows the form of modus ponens, which is an implication stating that if Tarik studies discrete mathematics, then he is good at logic. Given that Tarik does study discrete mathematics, it logically follows that Tarik is good at logic.

the correct answer is:

c) Implication

Step-by-step explanation:

The question you are asking relates to an argument setup known as modus ponens, which is a form of deductive reasoning. The structure of this argument type goes as follows:

1. If X, then Y. (Implication)
2. X. (Antecedent)
3. Therefore, Y. (Consequent)

In the case of Tarik studying discrete mathematics and being good at logic, the argument structure is an implication because it follows the pattern of 'if X then Y' where X is 'Tarik studies discrete mathematics' and Y is 'Tarik is good at logic'. Since both premises are true, the conclusion that 'Tarik is good at logic' must also be true. This logical form ensures the truth of the conclusion, given the truth of the premises. Therefore, the correct answer to the question is c) Implication.