Multiple Propositions in a Statement

Question

Is a statement like "The person who lives in Los Angeles traveled to New York." a single proposition A or two propositions A ^ B where A is "The person lives in Los Angeles." and B is "The person traveled to New York."?

Answer 1

Mathematically speaking "The person who lives in Los Angeles traveled to New York." is just one statement.

If we break it in two parts such as "The person who lives in Los Angeles" and "traveled to New York." we can not assign a truth value to the individual parts.

On the other hand if you have "Mr. X lives in Los Angeles and traveled to New York." then we have two statements.

"Mr. X lives in Los Angeles" and " Mr. X traveled to New York" since we can assign truth value to each part.