PHIL 340 MSUM Summer 2020 Symbolic Logic First Exam Part (I): Symbolization. Use the statement key below to give symbolizations in the spaces provided for

PHIL 340 MSUM Summer 2020 Symbolic Logic First Exam Part (I): Symbolization. Use the statement key below to give symbolizations in the spaces provided for each of the English statements that follow.(5 points each) First Examination
Part (I): Symbolization. Use the statement key below to give symbolizations in the spaces
provided for each of the English statements that follow. (5 points each)
D: Determinism rules
Q: Quantum mechanics is correct
N: Newtonian physics is correct
W: We have free will
E: Ethical truth exists
1.
Newtonian physics is not correct unless Quantum mechanics is not correct.
Symbolization:
2.
We have free will only if quantum mechanics is correct.
Symbolization:
3.
Quantum mechanics and Newtonian physics are not both correct.
Symbolization:
4.
Quantum mechanics and Newtonian physics are both not correct.
Symbolization:
5.
Newtonian physics is correct only if quantum mechanics is not; however, if quantum
mechanics is true, then ethical truth does not exist.
Symbolization:
6.
We have free will, if Newtonian physics is not correct.
Symbolization:
7.
It’s not the case that if we have free will, Newtonian physics is correct.
Symbolization:
Phil 340 (Symbolic Logic): First Exam Summer I 2020
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D: Determinism rules
Q: Quantum mechanics is correct
N: Newtonian physics is correct
W: We have free will
E: Ethical truth exists
8.
Although we have free will and ethical truth exists, both Newtonian physics is correct and
determinism rules.
Symbolization:
Part II: Translation. Use the interpretation above to translate the following symbolic
statements back into English in the spaces provided. (5 points each)
9.
(W • E)  Q
Translation:
10.
~(E  D)
Translation:
11.
~E  D
Translation:
12.
E  (~N • F)
Translation:
13.
~D  W
Translation:
Phil 340 (Symbolic Logic): First Exam Summer I 2020
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D: Determinism rules
Q: Quantum mechanics is correct
N: Newtonian physics is correct
W: We have free will
E: Ethical truth exists
14.
D  ~W
Translation:
Part III: Formal Syntax.
For each of the following, indicate whether or not the string of symbols is or is not a
properly formed statement (WFF) by circling/highlighting the correct. (4 points each)
15.
(R • S)
Statement/non-Statement
16.
~(R)  ~(S)
Statement/non-Statement
17.
S  ~(T  (L  ~ ~M))
Statement/non-Statement
18.
A • B (→) C  D
Statement/non-Statement
Part IV: True/False (concepts). Write T (for true) and F (for false) as appropriate for each of
the following statements. (2 point each)
19.
20.
21.
22.
23.
24.
25.
Some sentences are neither true nor false.
A simple statement cannot contain a logical operator.
All invalid arguments have a false conclusion.
Some sound arguments have a false conclusion.
“Hand me that piano!” is not a statement.
Deductive arguments can be either true or false.
Only a valid argument has true premises and a true conclusion.
Phil 340 (Symbolic Logic): First Exam Summer I 2020
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