One strategy for proving a mathematical theorem is a "proof by contradiction." In such a proof one begins by supposing the opposite of what is to be proved -- and then reasons logically to obtain a statement that contradicts a known truth. This contradiction verifies that our opposite-assumption was wrong and that our original statement-to-be-proved is indeed correct. (An easily-read introduction to "proof-by-contradiction" is given here.)
Peggy Shumaker is an Alaskan poet whom I had the pleasure of meeting at a reading at Bloomsburg University where I was a math professor a few years ago. Her poem, "What to Count On," below, has a beautiful surprise after a sequence of negations -- and reminds me of the structure of a proof-by-contradiction.
What to Count On by Peggy Shumaker
Not one star, not even the half moon
on the night you were born
Not the flash of salmon
nor ridges on blue snow
Not the flicker of raven’s
never-still eye
Showing posts with label Peggy Shumaker. Show all posts
Showing posts with label Peggy Shumaker. Show all posts
Monday, June 6, 2016
Subscribe to:
Posts (Atom)