Translate each of the following statements into symbolic form. Assume that the letters you use stand for positive statements.
Since the conditional symbol may not be available, you may translate a conditional statement with if-then. For example, the statement, "If Socrates is mortal, he will die. (m, d)" may be translated as "if m, then d."
Question: The federal deficit is out of control, but most Americans are not worried.
The federal deficit is out of control: D~ C.
Most Americans are not worried A~W.
Since 'but' can also mean 'and,' which is symbolized as ⋀, the statement may be translated as "(D~ C)⋀(A~W)." Where ~ symbolizes 'not.'