METHODS OF MATHEMATICAL PROOF

If the proof of a theorem is no immediately apparent, it may be because you are trying the wrong approach. Below are some effective methods of proof that may aim you in the right direction.

Proof by Obviousness The proof is so clear that it need not be mentioned.
Proof by General Agreement All in favor??...
Proof by Convenience It would be nice if this is true, so..."
Proof by Necessity It had better be true or the whole structure of mathematics would crumble to the ground.
Proof by Plausibility It sounds good, so it must be true.
Proof by Intimidation Donít be stupid. Of course itís true.
Proof by Lack Of Time Because of the time constraint, Iíll leave the proof to you.
Proof by Postponement The proof for this is tedious, so it is given in the appendix.
Proof by Accident Hey, what have we here?
Proof by Insignificance Who really cares anyway?
Proof by Mumbo-Jumbo &^#H@)(*#@&*RaØ^Îg
Proof by Profanity (example omitted)
Proof by Definition Weíll definite it to be true.
Proof by Tautology Itís true because itís true.
Proof by Plagiarism As we see on page 289...
Proof by Lost Reference I know I saw this somewhere...
Proof by Calculus The proof requires calculus, so weíll skip it.
Proof by Terror When Intimidation fails...
Proof by Lack of Interest Does anyone really want to see this?
Proof by Illegibility ()*)($*&#)$
Proof by Logic If it is on the problem sheet, then it must be true.
Proof by Majority Rule Only to be used is General Agreement is impossible.
Proof by Clever Variable Choice Let Ďaí be the number such that this proof works.
Proof by Tessellation This proof is just the same as the last.
Proof by Divine Word ...And the Lord said, ĎLet it be true; and it came to pass.
Proof by Stubbornness I donít care what you say! It is true!
Proof by Simplification The proof reduces to the statement 1 + 1 = 2.
Proof by Hasty Generalization Well, it works for 17, so it works for all reals.
Proof by Deception Now everyone turn their backs.
Proof by Supplication Oh, please, let it be true.
Proof by Poor Analogy Well, itís just like...
Proof by Avoidance The limit of Proof by Postponement as Ďtí approaches infinity.
Proof by Design If it is not true in todayís math, invent a new system in which it is.
Proof by Intuition I just have this gut feeling...
Proof by Authority Well, Mr. Al Knoweth says itís true, so it must be.
Proof by Hope Would someone like to put #23 on the board?
Proof by Delay That would be a good one to do over the weekend.
Proof by Coercion That would be a good test question.
Proof by Bribe Anyone need 100 points extra credit??
Proof by Inability The proof is beyond the scope of this course.
Proof by Speculation A corollary of the Ďwild guessí theorem.
Proof by Devaluation The proof of this problem is trivial.
Proof by Piggy Back The proof follows from the Law of Large Numbers.
Proof by Superior Training Only Cal Tech grads would comprehend the proof.
Proof by General Consensus Everyone knows that...
Proof by Appreciation Letís discuss the proof Mr. Smartís class left on the board.