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Philosophy 201
Elementary Logic
Fall 2007
Instructor: Harry Silverstein
Exam #2
Sentential Logic
I. True or False? (2 points each)
1. A disjunction is true if both disjuncts are true, but is false in all other
cases.
2.
[A“(G∫H)]‡[(R“W)∫Y]
is a conjunction whose left conjunct is
a disjunction and whose right conjunct is a biconditional.
3. A truthtable to determine whether
C˙(S“D)
is truthfunctionally
equivalent to
‘C“(D∫Z)
would require 16 rows.
4. If the argument
P
Q
is truthfunctionally invalid, then the
R
truthfunctional entailment claim
{P, Q}–R
is false.
5. The argument "If the Patriots have no injuries to key players, then they
will go undefeated. Hence, the Patriots will have no injuries to key
players; for they will go undefeated" is an instance of
Modus Ponens
and is therefore valid.
6. If there is any truthvalue assignment on which
P
and
Q
are both false,
then
P“Q
is not truthfunctionally true.
7. Being a musician is both necessary and sufficient for being a pianist.
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This note was uploaded on 06/16/2008 for the course PHIL 201 taught by Professor Idk during the Fall '07 term at Washington State University .
 Fall '07
 IDK
 Philosophy

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