In these lines, Sandra DeLozier Coleman (who participated in the math-poetry reading at the Joint Mathematics Meetings in Baltimore in January) speaks as a professor reasoning in rhyme, explaining truth-value technicalities of the logical implication, "If p then q" (or, in notation, p -- > q ).
The Implications of Logic by Sandra DeLozier Coleman
That p --> q is true,
Doesn’t say very much about q.
For if p should be false,
Then there’s really no loss
In assuming that q could be, too.
On the other hand q could be true.
So, what is a body to do?
With a false antecedent,
The consequent needn’t
Be something one lends credence to!
If the whole statement’s false, then, my dear,
There is no ambiguity here!
For then p must be true,
But then not so for q.
I do hope that’s all perfectly clear!
This professorial voice that Coleman sometimes inhabits also may be found here in another poem -- this one in Evelyn Lamb's Scientific American blog, "Roots of Unity" -- a poem that explains the abstract algebraic concept of "group." Implications, alternatively termed "conditionals," are explored also in this post -- which contains poems by Romanian poet Marin Sorescu and me.
Saturday, April 5, 2014
Logic in limericks
Labels:
conditional,
false,
implication,
limerick,
logic,
professor,
Sandra DeLozier Coleman,
true
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