Examination Questions And Answers English Work Sheet Page 3

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10. No. You would need to determine whether it is impossible for all members of the
set to be true at the same time.
II. CHAPTER TWO: SYMBOLIZING IN SENTENTIAL LOGIC
A. General Theory
For 1-3, circle one of a-d:
1. A compound sentence is truth−functional if and only if:
a.
the truth value of the compound sentence is determined by the truth values of
its component sentences
b.
each of its component sentences is either true or false
c.
the truth values of the component sentences are determined by the truth values
of the compound
d.
none of these
2. The sentence “It will rain only if the temperature drops” is correctly symbolized
(using obvious abbreviations) as:
a. R ⊃ D
b. D⊃ R
c. R ≡ D
d. none of these
3. The sentence “It will rain unless the temperature drops” is correctly symbolized (using
obvious abbreviations) as:
a. R ⊃ D
b. D ⊃ R
c. R ≡ D
d. none of these
4. a. Give an original example of a truth
functional use of a sentence connective in
ordinary English, and defend your view that it is truth−functional.
b. Give an original example of a non
truth
functional use of a sentence connective in
ordinary English, and defend your view that it is non−truth-functional.
For 5 and 6, identify the main connective.
5. ~[(A ∨ B) ≡ (B ⋅ C)] ⊃ (F ∨ G)
6. ~[~G ⊃ (B ∨ A)]
A. Answers
1. a
2. a
6

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