Premise: Impossible!

Hypothesis: That isn't possible!
Answer: yes

Premise: The dazzling white marble of Pisa's Duomo and leaning campanile is most breathtaking in the noonday sun, but late afternoon is the blessed moment for the brilliant mosaic facade of Orvieto's cathedral.

Hypothesis: Orvieto's cathedral was built on the command of pope Gregory I.
Answer: it is not possible to tell

Premise: As the federal government fully embraces e-commerce and other leading-edge implementations of IT that benefit citizens, leadership in managing the governmentas information resources becomes of paramount importance.

Hypothesis: Leadership in managing the government's information resources is becoming of paramount importance.
Answer: yes

Premise: Costly error or painful recriminations lie on either side of my position.

Hypothesis: There are two different things lying on either side of my stance.
Answer: yes