Final answer:
The reasoning provided in the statement is an example of deductive reasoning, which arrives at a conclusion based on the assumption that the given premises are true.
Step-by-step explanation:
The reasoning behind the statement that all children live in a democracy and thus a child named Randi deserves democratic rights follows a form of logical reasoning known as deductive reasoning. Deductive reasoning is a method where a conclusion is based on the concordance of multiple premises that are generally assumed to be true. In this case, the premise is that all children living in a democracy have certain democratic rights, and since Randi is a child, the conclusion is that Randi possesses those rights. This type of reasoning is common in discussions about political principles and the nature of democracy.