Question
Assign sentences to the letters to give these arguments obviously true premises and an ob false conclusion. a. If Athen B B Either Aor B B is not true. Example: If A then B A is not true So, B is not true Answer: A=Lyndon Johnson is president B=A Democrat is president
Answer
4.3
(269 Votes)
Cecilia
Master · Tutor for 5 years
Answer
Explanation
To construct an argument with obviously true premises and an obviously false conclusion, we need to carefully select sentences for
and
such that the premises are true, but the conclusion is clearly false. Here, we will use logical constructs to achieve this.Given the premises:1. If
then
2.
3. Either
or
And the conclusion:-
is not trueWe need to assign
and
such that:- The premises are true.- The conclusion is false.Let's choose:-
-
Now, let's verify:1. If the sky is blue, then
(True, because
is always true irrespective of the sky's color).2.
(True).3. Either the sky is blue or
(True, because
is always true).Conclusion:-
is not true (False, because
is always true).