Definition: A Conditional Statement is...symbolized by p
In the truth table above, p Example 1:
Solution: In Example 1, the sentence, "I do my homework" is the hypothesis and the sentence, "I get my allowance" is the conclusion. Thus, the conditional p Example 2:
Solution: The conditional a
In Example 2, "The sun is made of gas" is the hypothesis and "3 is a prime number" is the conclusion. Note that the logical meaning of this conditional statement is not the same as its intuitive meaning. In logic, the conditional is defined to be true unless a true hypothesis leads to a false conclusion. The implication of a Example 3:
Solution: The conditional x In the following examples, we are given the truth values of the hypothesis and the conclusion and asked to determine the truth value of the conditional. Example 4:
Solution: Since hypothesis r is false and conclusion s is true, the conditional r Example 5:
Solution: Since hypothesis s is true and conclusion r is false, the conditional s Example 6:
Note that in item 5, the conclusion is the negation of p. Also, in item 6, the hypothesis is the negation of r. Summary: A conditional statement, symbolized by p ExercisesDirections: Read each question below. Select your answer by clicking on its button. Feedback to your answer is provided in the RESULTS BOX. If you make a mistake, choose a different button.
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