Question

identify the hypothesis and conclusion in the following proposition, and state their truth values. then determine whether the entire proposition is true or false.

if tokyo is in japan, then new york is in america.

state the hypothesis and conclusion, and give their truth values.

the hypothesis is dropdown which is dropdown the conclusion is dropdown which is dropdown

Explanation:

Identify the hypothesis and conclusion

Using the Conditional Statements and Hypothesis and Conclusion knowledge points

• The proposition is: "If Tokyo is in Japan, then New York is in America."
• A conditional statement has the form "If \(p\), then \(q\)", where \(p\) is the hypothesis and \(q\) is the conclusion.
• Therefore, the hypothesis is "Tokyo is in Japan," and the conclusion is "New York is in America."

Determine the truth values

Using the Truth Values knowledge point

• The hypothesis "Tokyo is in Japan" is a true statement.
• The conclusion "New York is in America" is a true statement.
• Since both the hypothesis and the conclusion are true, the entire conditional proposition "If true, then true" is true.

Answer:

State the hypothesis and conclusion, and give their truth values.

The hypothesis is <blank>Tokyo is in Japan,</blank> which is <blank>true</blank>. The conclusion is <blank>New York is in America,</blank> which is <blank>true</blank>.