s.The second premise (p2) is "Bill sits in the back row." This can be written symbolically as s.
The conclusion (q) is "Therefore Bill is a cheater." This can be written symbolically as c.
1b) Let c represent "Bill is a cheater", and let s represent "Bill sits in the back row." Now write each of the premises and the conclusion in symbolic form.
The first premise (p1) is "If Bill is a cheater, then Bill
sits in the back row." This can be written symbolically as c s.
The second premise (p2) is "Bill sits in the back row." This can be
written symbolically as s.
The conclusion (q) is "Therefore Bill is a cheater." This can be written
symbolically as c.
Remember that an argument is written as a conjunction of the premises
implies the conclusion. So this argument can be represented as
[(c s) L (s)]
c.
To determine if it is possible for an argument to be invalid, we are looking for truth values for the variables which make the conclusion false but all of the premises true.
Fill in the following sentence:
For the conclusion to be FALSE, we need c to be _________.
For the premises to be TRUE we need:
s to be true (1); Can you find a set of truth values for c and s, which make the conclusion false but the premises true?