Suppose You Wish to Prove a Theorem of the Form

question 151

Short Answer

Suppose you wish to prove a theorem of the form "if p then q." (a) If you give a direct proof, what do you assume and what do you prove? (b) If you give a proof by contraposition, what do you assume and what do you prove? (c) If you give a proof by contradiction, what do you assume and what do you prove?

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Definitions:

Occipital

Pertaining to the back part of the skull, primarily associated with the visual processing region of the brain.

Ethmoid

A spongy, cubed bone located at the top of the nasal cavity and at the front of the floor of the cranium, crucial for nasal support and olfaction.

Vomer

A thin, flat bone forming part of the nasal septum, which divides the nasal cavity into left and right nostrils.

Temporal

Pertaining to the temporal bone of the skull, near the temples, or relating to time.