decide if the following statement is valid or invalid. if i go to the park, then i will play baseball. if i…

decide if the following statement is valid or invalid. if i go to the park, then i will play baseball. if i play baseball, i will need a glove. i will go to the park tomorrow, so i will need a glove. invalid valid

decide if the following statement is valid or invalid. if i go to the park, then i will play baseball. if i play baseball, i will need a glove. i will go to the park tomorrow, so i will need a glove. invalid valid

Answer

Explanation:

Step1: Identify the statements

Let (p) be "I go to the park", (q) be "I play baseball", (r) be "I need a glove". We have (p\rightarrow q), (q\rightarrow r) and (p) (I will go to the park tomorrow).

Step2: Apply the law of syllogism

From (p\rightarrow q) and (q\rightarrow r), by the law of syllogism, we get (p\rightarrow r).

Step3: Use modus - ponens

Since we know (p) is true (I will go to the park tomorrow) and (p\rightarrow r), by modus - ponens, (r) (I will need a glove) is true.

Answer:

Valid