Phil 202
Assignment 7
Solutions
Unit 13. Question 4.
(b). (x)(P x Jx) ( Gx V x)
(d). (x)(Jx (P x Sx) (Bx V x)
(f). (x)(P x (Hx U x) (Lx Ax)
(h). (x)(P x (Hx Jx) (U x M x) (Lx (V x Cx)
(j). (x)(P x Sx) (Hx Jx) (Bx U x) (V x Dx) (Lx Ax)
Question 8: (I am on
Phil 202
Test 3
November 15, 2015
Full Name and NetID or UIN: Solutions
1
1. Symbolize the following, using the abbreviations given. (12 points)
Bx = x is a business person; Cx = x consults a lawyer; Lx = x has broken a law; M x = x
is a millionaire; T x
Phil 202
Test 1
September 21, 2015
Name and Student Number:
1. Validity (6 points)
a) What does it mean for an argument to be valid? (2pts.)
It means that it is impossible for the premises to be true and the conclusion
false. It means that the truth of th
Phil 202
Homework 3 Solutions
Unit 5:
Question 1.
f) valid
l) valid
n) invalid. Invalidating truth assignment: p=F, q=F, and r=F.
Question 2.
e) Invalid. Invalidating assignment: p=T, q=F, r=T, s=F.
Question 4.
b) valid
Premises:
G E
F E
( F P ) S
SR
Conc
Phil 202
Homework 2 Solutions
Unit 3:
Question 1.
b) T
d) F
e) T
f) T
l) T
p) T
r) T
t) T
Question 2.
b) T
d) T
f) T
h) T
j) T
Question 3.
b) Not possible
f) NP
j) T
Unit 4:
Question 3.
b) L M
d) L W
f) B L
1
h) (L W ) (L W )
j) M (L O)
l) (O L) (J D)
Que
85)
a. D‘ “A
3, D
q_ AA
S. Avc
G. C-
l. 119A
2. <1 > ‘5
3. “VA
‘1. “‘3
3—, at
x A >( “3
2_ «VB->054.)
}_ @WH) >(‘b>'3)
a. (A-~c>vH
S. «A — “F
6, “‘4
1. “I:
a. A-~c
a, A
1°. "C—
11, 139C
11 "'75
{3 PVC?
:4. (’7
lg, Cv-WH
m. D :6
HP k?
us {is
’0
f!" /,’.A.
7M5.
Phil 202
Assignment 6
Solutions
Unit 10. Question 2d:
(TF6 - Pk) - ~(Tp ' PP)
2j:
I accepted a couple of different (non—equivalent) answers for this, given that there was some
ambiguity in the English expression. Here is just one acceptable answer.
(
Phil 202
Homework 1 Solutions
Unit 1:
Question 1.
b) inductive argument.
d) not an argument.
f) inductive argument.
h) deductive argument.
j) deductive argument.
k) not an argument.
l) deductive argument.
n) inductive argument.
Question 2.
a) valid
b) val
Phil 202
Assignment 9
Solutions
Unit 16. Question 2b:
Domain: everything.
Ax = x is a dog
Bx = x is a mammal
Cx = x is an animal
All dogs are mammals.
All mammals are animals.
Therefore, all animals are dogs.
2d:
Domain: everything.
Fx = x is a dog
Gx = x
1. Construct a proof for the following problem, justifying each step. For this
problem, you may only use the basic inference rules. You may NOT use any
replacement rules. You may NOT use the rules of conditional proof or indirect
proof. (10 points)
(~A -