Deck 2: Symbolizing in Sentential Logic

Question 1

General Theory
For 1-3, circle one of a-d:

-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

Answer 1

the truth value of the compound sentence is determined by the truth values of its component sentences

Question 2

General Theory
For 1-3, circle one of a-d:

-The sentence "It will rain only if the temperature drops" is correctly symbolized (using obvious abbreviations) as:

A)
B)
C)
D) none of these

Answer 2

Question 3

General Theory
For 1-3, circle one of a-d:

-The sentence "It will rain unless the temperature drops" is correctly symbolized (using obvious abbreviations) as:

A)
B)
C)
D) none of these

Answer 3

none of these

Question 4

General Theory
For 1-3, circle one of a-d:
-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

Question 5

identify the main connective.

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Question 6

identify the main connective.

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Question 7

Symbolizing
Symbolize the following, letting R = "It will rain", U = "The temperature will go up", D = "The temperature goes down", S = "It will snow":
-It won't snow, unless the temperature goes down.

Question 8

Symbolizing
Symbolize the following, letting R = "It will rain", U = "The temperature will go up", D = "The temperature goes down", S = "It will snow":
-The temperature will go up only if it doesn't rain, and will go down if it does rain.

Question 9

Symbolizing
Symbolize the following, letting R = "It will rain", U = "The temperature will go up", D = "The temperature goes down", S = "It will snow":
-The temperature will go down just in case it rains.

Question 10

Symbolizing
Symbolize the following, letting R = "It will rain", U = "The temperature will go up", D = "The temperature goes down", S = "It will snow":
-The temperature will go up or down but not both.

Question 11

Symbolizing
Symbolize the following, letting R = "It will rain", U = "The temperature will go up", D = "The temperature goes down", S = "It will snow":
-If it neither snows nor rains, the temperature won't go up and it won't go down.

Question 12

Symbolizing
Symbolize the following, letting R = "It will rain", U = "The temperature will go up", D = "The temperature goes down", S = "It will snow":
-Either it snows and the temperature won't go up, or it rains and the temperature won't go down.

Question 13

Symbolizing
Symbolize the following, letting R = "It will rain", U = "The temperature will go up", D = "The temperature goes down", S = "It will snow":
-If it rains, then if the temperature goes down it will snow.

Question 14

Symbolizing
Symbolize the following, letting R = "It will rain", U = "The temperature will go up", D = "The temperature goes down", S = "It will snow":
-If it rains, then it snows if and only if the temperature goes down.

Question 15

Symbolizing
Symbolize the following, letting R = "It will rain", U = "The temperature will go up", D = "The temperature goes down", S = "It will snow":
-It won't rain, but it will snow unless the temperature goes up.

Question 16

Symbolizing
Symbolize the following, letting R = "It will rain", U = "The temperature will go up", D = "The temperature goes down", S = "It will snow":
-If it rains, the temperature will go up unless, of course, it goes down.

Question 17

Symbolizing
Symbolize the following, letting R = "It will rain", U = "The temperature will go up", D = "The temperature goes down", S = "It will snow":
-It will snow if and only if it does not rain and the temperature does not go up.

Question 18

Symbolizing
Symbolize the following, letting R = "It will rain", U = "The temperature will go up", D = "The temperature goes down", S = "It will snow":
-If it both rains and snows, then the temperature is neither going up nor going down.

Question 19

Translating
Translate the following into more or less colloquial English sentences. Let J = "Art gets a new job"; B = "Art gets a new boss"; A = "Art gets a new apartment"; R = "Art get a new roommate."
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Question 20

Translating
Translate the following into more or less colloquial English sentences. Let J = "Art gets a new job"; B = "Art gets a new boss"; A = "Art gets a new apartment"; R = "Art get a new roommate."
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Question 21

Translating
Translate the following into more or less colloquial English sentences. Let J = "Art gets a new job"; B = "Art gets a new boss"; A = "Art gets a new apartment"; R = "Art get a new roommate."
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Question 22

Translating
Translate the following into more or less colloquial English sentences. Let J = "Art gets a new job"; B = "Art gets a new boss"; A = "Art gets a new apartment"; R = "Art get a new roommate."
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Question 23

Translating
Translate the following into more or less colloquial English sentences. Let J = "Art gets a new job"; B = "Art gets a new boss"; A = "Art gets a new apartment"; R = "Art get a new roommate."
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Question 24

Translating
Translate the following into more or less colloquial English sentences. Let J = "Art gets a new job"; B = "Art gets a new boss"; A = "Art gets a new apartment"; R = "Art get a new roommate."

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