9. What is the form of hypothetical reasoning which can prove a hypothesis false? 9 TO 19wans Tho gniop

A Bitter Dispute With the publication of Ars Magna, a dispute intensified between Jerome Cardan and another mathematician named Niceolo Fontana, otherwise known as Tartaglia. What was the dispute, and how did it arise? In your opinion, who was at fault? Write a paragraph or two about your findings.

To prove a theorem of the form "If P, then Q" by the indirect method, the first line of the proof should read: Suppose that ___________ is true.

Which part Given or Prove of the proof depends upon the a hypothesis of theorem? b conclusion of theorem?