Quote for the Day
You've come to Doug Aberdeen's old pages. In 5 seconds you will taken to my new pages http://sml.nicta.com.au/~daa/
Proof by Example: The author gives only the case n=2 and suggests that it contains most of the ideas of the general proof. Proof by Intimidation: "Trivial." Proof by Cumbersome Notation: Best done with access to at least four alphabets and special symbols. Proof by Exhaustion: An issue or two of a journal devoted to your proof is useful. Proof by Omission: "The reader may supply the details." "The other 253 cases are analogous." Proof by Obfuscation: A long plotless sequence of true and/or meaningless syntactically related statements. Proof by Wishful Citation: The author cites a negation, converse, or generalization of a theorem from the literature to support his claims. Proof by Funding: How could nine different government agencies be wrong? Proof by Picture: A more convincing form of proof by example. Works well with proof by omission. Proof by Vehement Assertion: It is useful to have some kind of authority relation to the audience. Proof by Ghost Reference: Nothing even remotely resembling the cited Theorem appears in the reference given. Proof by Forward Reference: Reference is usually to a forthcoming paper of the author, which is not often as forthcoming as the first. Proof by Semantic Shift: Some standard but inconvenient definitions are changed for the statement of the result. Proof by Appeal to Intuition: Cloud shaped drawings frequently help here. Proof by Elimination of the Counter-Example: "Assume for the moment that the hypothesis is true. Now let's suppose we find a counter-example. so what? QED" Proof by Assumption: "For the last century no one acquainted with the facts has disputed..." an equivalent statement is, "I did not look up the actual facts but since most people I know think this way, it follows that everyone else does too." Proof by Eminent Authority: "I saw Karp in the elevator and he said it was probably NP-complete." Proof by Personal Communication: "Eight-dimensional colored cycle stripping is NP-complete." [Karp, personal communication] Proof by Reduction to the Wrong Problem: "To see that infinite-dimensional colored-cycle stripping is decidable, we reduce it to the halting problem." Proof by Reference to Inaccessible Literature: The author sites a simple corollary of a theorem to be found in a privately circulated memoir of the Slovenian Philological Society, 1883. Proof by Importance: A large body of useful consequences all follow from the proposition in question. Proof by Accumulated Evidence: Long and diligent search has not revealed a counter-example. Proof by Mutual Reference: In reference A, Theorem 5 is said to follow from Theorem 3 in Reference B, which is shown to follow from Corollary 6.2 in Reference C which is an easy consequence of Theorem A. Proof by Metaproof: A method is given to construct the desired proof. The correctness of the method is proved by any of these techniques. Proof by Assertion: This is correct.