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Give the variable notation of the hypothetical proposition. Explain, in your own words, what variable notation is, and how it applies to the hypothetical proposition.
This response will be awarded full points automatically, but it can be reviewed and adjusted after submission.
Give three examples of true hypothetical propositions.
Ex. If pigs are mammals, then they are animals.
This response will be awarded full points automatically, but it can be reviewed and adjusted after submission.
Determine whether the following compound proposition is true or false.
Ex. If birds have wings, then pigs have wings.
Answer: False, as only the antecedent is true. However, the rules of the hypothetical proposition mandate that the truth of this proposition requires the consequent to be true if the antecedent is.
If puppies are cute, then grown dogs are cute.
Justify your previous answer.
This response will be awarded full points automatically, but it can be reviewed and adjusted after submission.
Determine whether the following compound proposition is true or false.
If the sky is clear, then it is not raining. (Assume the truth of the consequent)
Justify your previous answer.
This response will be awarded full points automatically, but it can be reviewed and adjusted after submission.
Determine whether the following compound proposition is true or false.
If balloons float, then the gas inside them is heavier than air.
Justify your previous answer.
This response will be awarded full points automatically, but it can be reviewed and adjusted after submission.
Determine whether the following compound proposition is true or false.
If sharks are mammals, then they can swim.
Justify your previous answer.
This response will be awarded full points automatically, but it can be reviewed and adjusted after submission.
Determine whether the following compound proposition is true or false.
If Aristotle was the first formal logician, then there are no formal logicians born before him.
Justify your previous answer.
This response will be awarded full points automatically, but it can be reviewed and adjusted after submission.
(Challenge Question) Determine whether the following complex compound proposition is true or false.
Ex. If you have ten toes, then five are on the left foot and five are on the right.
Answer: Standardly, this proposition can be assumed to be true, as usually, having ten toes implies that five are on each foot.
Apples are fruit or they are not, and fruits have seeds.
(Challenge Question) Determine whether the following complex compound proposition is true or false.
If a person can swim or float, then they will drown in water.
(Challenge Question) Determine whether the following complex compound proposition is true or false.
Water is composed of Hydrogen and Oxygen, or It is composed of Helium and Aluminum.