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# If Abe comes to the party, then Bill comes to the party; and if Bill comes to the party, then Carol comes to the party. (A, B, C)

Symbolic Logic , translate single statements, whole arguments, and to use the comparative method to determine validity or invalidity. I have to symbolize these statements by using the Letters provided in the parentheses.

I am not completely sure of the notation required by your teacher, but here is some explanation of what is meant by this question.

Use A to mean 'Abe comes to the party'.

Use B to mean 'Bill comes to the party'.

Use C to mean 'Carol comes to the party'.

Now we can translate the statements above as follows:

If A then B, and if B then C.

From these two statements we can conclude 'if A then C'.

You might have a notation similar to this:

(A>B)U(B>C)>(A>C)

What these arguments mean is that although we don't know whether Abe is coming to the party, we do know that if he does come, we can expect to see Bill and Carol as well.  However, if Abe doesn't come, Bill and Carol, or just Carol, might be there without Abe.