The following quote from Alice in Wonderland by Lewis Carroll is pertinent to the so-called
forward-backward method for direct proofs. I thought you might find it
interesting and perhaps useful.
One day Alice came to a fork in the road and saw a
C h e s h i re cat in a tree.
"Which road do I take?" She asked.
His response was a question: "Where do you want to go?"
"I don't know," Alice answered.
"Then," said the cat, "it doesn't matter."
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