Question

In: Math

Translate the following argument to symbolic notation (be sure to provide the dictionary) and then use...

Translate the following argument to symbolic notation (be sure to provide the dictionary) and then use a truth table to show that the argument is an invalid argument. State how the truth table shows that the argument is invalid.

If Elle is a member of Delta Nu, then she comes from a rich family. Elle’s family is rich. Therefore, Elle belongs to Delta Nu.

Expert Solution

Let P--> Elle is a member of Delta Nu

Q --> Elle's family is rich.

Then here is symbolic notation:

If Elle is a member of Delta Nu, then she comes from a rich family.:

Elle’s family is rich.:

Therefore, Elle belongs to Delta Nu.:

This can be written as:

--------------------------

By the Fallacy of the converse it is invalid.

To validate such questions from truth table, we first need to make truth table which consist AND of all premises like here

(P -> Q) ^ Q we did and then we put it in if then statement where AND of premises works as premises and the conclusion statement works as implication or result. In this the last column should be all T for arguments to be true.

milcah answered 1 year ago

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