Premise: To be Mentadent toothpastes are no better clinically than the CVS brand--they're just cooler looking.

Hypothesis: Mentadent toothpastes are much uglier than CVS brand toothpastes.
Answer: no

Premise: And you remember nothing at all?

Hypothesis: You remember not one thing about what happened last Thursday?
Answer: it is not possible to tell

Premise: With riots growing ever more bloody in Bengal, Bihar, and the Punjab, India's last viceroy, Lord Mountbatten, kept a mandate to make the British departure as quick and as smooth as possible.

Hypothesis: The riots grew bloody as the people opposed the British occupation and the lack of efforts of officials to enforce equality.
Answer: it is not possible to tell

Premise: Posner cannot retry the facts or impose a result as a matter of law.

Hypothesis: Posner has free power to do anything he wants
Answer: no