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Proof Techniques
written by Armen H. Zemanian, published in The
Physics Teacher, May 1994.
The usual
techniques for proving things are often inadequate because they
are merely concerned with truth. For more practical objectives,
there are other powerful - but generally unacknowledged - methods.
Here is an (undoubtedly incomplete) list of them:
Proof
of Blatant Assertion:
Use
words and phrases like "clearly...,""obviously...,""it is easily
shown that...," and "as any fool can plainly see..."
Proof
by Seduction:
"If
you will just agree to believe this, you might get a better final
grade."
Proof
by Intimidation:
"You
better believe this if you want to pass the course."
Proof
by Interruption:
Keep
interrupting until your opponent gives up.
Proof
by Misconception:
An
example of this is the Freshman's Conception of the Limit Process:
"2 equals 3 for large values of 2." Once introduced, any conclusion
is reachable.
Proof
by Obfuscation:
A
long list of lemmas is helpful in this case - the more, the better.
Proof
by Confusion:
This
is a more refined form of proof by obfuscation. The long list
of lemmas should be arranged into circular patterns of reasoning
- and perhaps more baroque structures such as figure-eights and
fleurs-de-lis.
Proof
by Exhaustion:
This
is a modification of an inductive proof. Instead of going to the
general case after proving the first one, prove the second case,
then the third, then the fourth, and so on - until a sufficiently
large n is achieved whereby the nth case is being
propounded to a soundly sleeping audience.
References:
I don't have any.
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