Proof by intimidation (or argumentum verbosum) is a
jocular phrase used mainly in
mathematics to refer to a specific form of
hand-waving, whereby one attempts to advance an argument by marking it as obvious or
trivial, or by giving an argument loaded with jargon and obscure results. It attempts to intimidate the audience into simply accepting the result without evidence, by appealing to their ignorance and lack of understanding.
The phrase is often used when the author is an authority in their field, presenting their proof to people who respect
''a priori'' the author's insistence of the validity of the proof, while in other cases, the author might simply claim that their statement is true because it is trivial or because they say so. Usage of this phrase is for the most part in good humour, though it can also appear in serious criticism. A proof by intimidation is often associated with phrases such as:
* "Clearly..."
* "It is self-evident that..."
* "It can be easily shown that..."
* "... does not warrant a proof."
* "The proof is left as an exercise for the reader."
Outside mathematics, "proof by intimidation" is also cited by critics of
junk science
The expression junk science is used to describe scientific data, research, or analysis considered by the person using the phrase to be spurious or fraudulent. The concept is often invoked in political and legal contexts where facts and scientif ...
, to describe cases in which
scientific evidence
Scientific evidence is evidence that serves to either support or counter a scientific theory or hypothesis, although scientists also use evidence in other ways, such as when applying theories to practical problems. "Discussions about empirical e ...
is thrown aside in favour of dubious arguments—such as those presented to the public by articulate advocates who pose as experts in their field.
[
]
In a memoir,
Gian-Carlo Rota claimed that the expression "proof by intimidation" was coined by
Mark Kac, to describe a technique used by
William Feller
William "Vilim" Feller (July 7, 1906 – January 14, 1970), born Vilibald Srećko Feller, was a Croatian- American mathematician specializing in probability theory.
Early life and education
Feller was born in Zagreb to Ida Oemichen-Perc, a Croa ...
in his lectures:
See also
*
*
*
*
*
*
*
References
{{DEFAULTSORT:Proof by intimidation
Professional humor
Mathematical proofs
In-jokes
Mathematical humor
English phrases