Did Manhattan make an error or did I?
Posted: Thu Jul 31, 2014 5:34 am
I'm reading the MLSAT second edition of LR where they cover conditional logic. They give an example during a drill: Many dogs weigh more than 20 pounds, and many dogs are difficult to train. They then ask what, if anything can be inferred. I thought nothing, but they say that one could infer that some dogs that are difficult to train weigh more than 20 pounds. I was wondering how this is possible? If there are 100 million dogs in the world and 1 million are difficult to train, and 1 million are over 20 pounds, then there is no evidence that suggests these two categories must necessarily overlap. Am I wrong here? I though an arbitrary reference to "many" was the same thing as say "some" since we cannot infer whether it is most or all.