Answer:
The statement "All guinea pigs eat cucumbers, so my new guinea pig will like cucumbers" is an example of deductive reasoning. In deductive reasoning, a general rule or principle is applied to a specific situation to reach a logical conclusion. In this case, the general rule is that all guinea pigs eat cucumbers, and the specific situation is that the speaker has a new guinea pig. Based on the general rule, the speaker logically concludes that their new guinea pig will like cucumbers.