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Which of the following arguments are valid? Explain your reasoning
a) I have a student in my class who is getting an A. Therefore, John, a student in my class is getting an A
b) Every girl scout who sells at least 50 boxes of cookies will get a prize. Suzy, a girl scout, got a prize. Therefore Suzy sold 50 boxes of cookies.

Respuesta :

nuhulawal20

Answer:

a) the Statement is Invalid

b) the Statement is Invalid

Explanation:

a)

lets Consider, s: student of my class

A(x): Getting an A

Let b: john

I have a student in my class who is getting ab A: Зs, A(s)

John need not be the student i.e b ≠ s could be true

Hence ¬A(b) could be true and the given statement is invalid

b)

Lets Consider G: girl scout

C: selling 50 boxes of cookies

P: getting prize

s: Suzy

Now every girl scout who sells at least 50 boxes of cookies will get a prize: ∀x ∈ G, C(x) -> P(x)

Suzy, a girl scout, got a prize: s ∈ G, P(s)

since P(s) is true, C(s) need not be true

Main Reason: false → true is also true

Therefore the Statement is Invalid

The argument that is valid is B. Every girl scout who sells at least 50 boxes of cookies will get a prize. Suzy, a girl scout, got a prize. Therefore Suzy sold 50 boxes of cookies.

What is a valid argument?

It should be noted that a valid argument simply means the argument that's the conclusion can be derived from the premise given.

In this case, the argument that is valid is that every girl scout who sells at least 50 boxes of cookies will get a prize. Suzy, a girl scout, got a prize. Therefore Suzy sold 50 boxes of cookies.

Learn more about arguments on:

https://brainly.com/question/3775579

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