Consider the following propositions: Today is not sunny and cooler than last week. We will go shopping only if today is sunny. If we choose not to go shopping, then we will go to school. If we decide to go to school, then we will arrive at school by 5 pm. Please use these letters as abbreviations: P : It’s sunny today. Q: Today is cooler than last week. R: We will go shopping. S: We will go to school. T : We will arrive at school by 5 pm. Try to figure out what conclusion you can get from the above propositions

Four individuals wish to traverse an unstable bridge; they all start on the same side. You have 17 minutes to get everyone to the opposite side. Night has fallen, and they have only one torch. Two individuals may cross the bridge at once at most. Any crossing party, whether one or two individuals, must carry a torch. The torch must be carried back and forth; it cannot, for instance, be hurled. Person 1 crosses the bridge in one minute, person 2 in two minutes, person 3 in five minutes, and person 4 in ten minutes. A dyad must trek together at the slower individual's cadence. Create the algorithm specification that solves the problem.

Postulate: If it rains the sidewalk will be wet. Observation: the sidewalk is wet. From this, we can deduce which of the following: a. Nothing b. No answer text provided. c. No answer text provided. d. It rained

QUESTION 18 What is the antecedent in this conditional: "If taxes are raised then the deficit will go down." a. Taxes are raised. b. The deficit will go down. C. Taxes are not raised. d. Raising taxes will reduce the deficit only if spending does not increase. QUESTION 19 Consider the sentence: "Students may go on the field trip only if they have a signed permission slip." What kind of condition is the permission slip? a. both b. neither C. necessary Od. sufficient