Philosophy 2500 Summer 2021 Quiz 7 July 29 Part I: Use the following interpretation: UD: The set of people B: {u : u is a child} C: {u : u is over 50 years old} 1 2 1 2D: { : u and u are sisters} 1 2...

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Philosophy 2500
Summer 2021
Quiz 7
July 29
Part I: Use the following interpretation:
UD: The set of people
B: {u : u is a child}
C: {u : u is over 50 years old}
1 2 1 2D: { : u and u are sisters}
1 2 1 2F: { : u and u are
others}
Determine the truth-value of each of the following on this interpretation:
1. (x)(y)(Fxy & Cx)
2. (w)(Cw e ~Bw)
Part II: Construct derivations (in PD) to show the validity of the following:
(x)Ax
(x)(Ax e Bx)
Bc
(y)Ay
(x)(Ax e Bx)
(y)By

Philosophy 2500
Summer 2021
Quiz 6
July 22
Part I:
Use the following symbolization key:
UD: The set of seniors at Dartmouth College
Gy: y will graduate
Py: y will join the Peace Corps
Mxy: x will make more money than y
: Bo
c: Carol
d: David
e: Emily
Symbolize the following:
1. If David will graduate, all of the seniors will graduate.
2. None of those who graduate will join the Peace Corps.
Part II:
Use the following symbolization key:
UD: The set of all people
Sx: x is a sailo
Lx: x is lucky
Cxy: x is a child of y
Wx: x is a Wilcox
d: Daniel Wilcox
j: Jacob Wilcox
: Rebecca Wilcox
Symbolize the following:
3. Every Wilcox except Rebecca is lucky.
4. Daniel is Rebecca’s only child.

Philosophy 2500
Summer 2021
Quiz 5
July 15
For each of the following, determine if it is a formula of PL (or PLE) or a sentence of PL (or PLE).
If it is not a formula, indicate why not, and if it is not a sentence, indicate why not. And if it is a
sentence, circle its main operator.
(x)(Fx & Gy)
(Fa e (x)Gx)
(a)Bxy
Give a substitution instance of the following sentence in which ‘a’ is the instantiating term:
(y)(Mby e Mya)

Philosophy 2500
Summer 2021
Quiz 4
July 8
Using our deductive system SD, derive the following conclusions from the given premises:
C e ~C
~C
F / (~A & B)
~(F & A)
A e (F&D)
(FwH) e A
F / A
A w D
A e C
D e F
C w F

Philosophy 2500
Summer 2021
Quiz 3
July 1
1. Using our deductive system SD, derive the following conclusions from the given premises:
F / ~H
D e ~G
~H & D
~G & F
F & ~D
~D e (F / G)
G w ~R
2. Fill in the justifications for the following derivations:
1 *A e (B e C) premise (or assumption)
2 *~C_______ premise (or assumption)
3 ** A XXXXXXXXXX__
4 ** B e C
5 ** * B_____
6 ** * C
7 ** *~C
8 ** ~B XXXXXXXXXX__
9 *A e ~B
1 *A e B premise (or assumption)
2 *~B XXXXXXXXXXpremise (or assumption)
3 ** A XXXXXXXXXX__
4 ** B
5 ** ~B_____
6 *~A

2500-summer-2021-quiz-7-qt2gmiws.pdf 2500-summer-2021-quiz-6-0uuajmua.pdf 2500-summer-2021-quiz-5-lxjdobnz.pdf 2500-summer-2021-quiz-4-mwc0jbdq.pdf 2500-summer-2021-quiz-3-4d2exxwr.pdf

Answered 3 days After Aug 02, 2021

Solution

Parvesh answered on Aug 06 2021

137 Votes

CamScanner 08-06-2021 21.06.19

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Philosophy 2500 Summer 2021 Quiz 7 July 29 Part I: Use the following interpretation: UD: The set of people B: {u : u is a child} C: {u : u is over 50 years old} 1 2 1 2D: { : u and u are sisters} 1 2...

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