Question
Which of the following are propositions? If you are working on a printed copy. circle the letter corresponding each "proposition." a. Have a nice day. b. The soup is cold. c. The patient has diabetes. d. The light is on. e It's a beautiful day. f. Do you like my new shoes? g. Bummer! Define the following propositions: b: The weather is bad. c: The trip is cancelled. d: The trip is delayed. (We used the propositional variables b.c. and d above to make them mnemonic.) Translate the following English sentence into logical expressions using the definitions above: a. The weather is good. b. The weather is bad, but the trip is not canceled. c. The weather is bad and the trip is canceled or delayed. d. The trip was neither cancelled nor delayed. e. The weather was good and the trip was not delayed. Define the following proposition: s: He saved his money. a: He can afford the new car. Translate the following English sentences into logical expressions using the definitions above: a. There is no way he can afford the new car. b. He saved his money but he still cannot afford the new car. The propositional variables, p, g, and have the following truth assignments p = T, q = T, s = F. Calculate the truth value for the following compound propositions (show your work): a. p logicalor -q b. -p logicalor (q logicaland s) c. (p logicaland q) logicalor s d. p logicaland (q logicalor s) e. not(q logicaland p logicaland not s) Determine whether the following propositions are true or false and briefly explain your reasoning.
Explanation / Answer
1. a) Not a proposition because it doens't have a true false value
b) This is a proposition because it can be either true or false.
c) This is a proposition because it can be either true or false
d) This is a proposition because it can be either true or false
e) this is subjective. there is no definite true or false to this. Therefore NOT a proposition.
f) Question is not a proposition
g) This is expression so it is not proposition.
Please ask rest in a separate post.
