Express each of the following premises in symbols Every student has an email acc

Question

Express each of the following premises in symbols Every student has an email account Homer does not have an email account Maggie is a student Given the above premises, determine which of the statements below are valid conclusions. For those that are valid, identify which premise(s) and rule(s) of inference are used to obtain each conclusion; for those that are not valid, explain why it is not a valid conclusion - that is, why it is false or why it cannot be determined whether it is true or false. Homer is not a student Maggie has an email account

Explanation / Answer

(A)

Assume

(i)P = Every student has an email account

(ii)Q =Homer does not have email acconut

(ii) R = Maggie is a student

(b)

We are given that

P = Every student has an email account

It means that those who have email accounts are student

and

Q =Homer does not have email acconut

Here , Homer does not have email account

we know that

those who have email accounts are student

so, Homer is not a student ..True

We can see that we can verify it by using premises-(i) and premises(ii)

(C)

(i)P = Every student has an email account

It means that those who have email accounts are student

(ii) R= Maggie is student

we know that

those who have email accounts are student

and Maggie is a student

so, Maggie will have an email account

so, this statement is True

We can verify it by using premises-(i) and premises-(iii)

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