Exam 2: Symbolizing in Sentential Logic

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.

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:

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.

identify the main connective. -

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." -

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." -

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.

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.

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.

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

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.

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." -

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.

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.

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.

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." -

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:

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.

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.

identify the main connective. -