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\title[Methods of Proof: A Tour]{Methods of Proof:\\
A tour of some of my favorites}
\author{Carl F.~Gauss}
\institute[CSU-P]{{\tt carl.gauss@csupueblo.edu}\\
{\tt www.csupueblo.edu/CFGpage}\\
\ \\
Department of Mathematics \& Physics \\
Colorado State University, Pueblo \\
2200 Bonforte Blvd.\\
Pueblo, CO 81001-4901}
\date{\today}
\date[Erd\"oFest, 10/01/14]{Erd\"os's Birthday Lecture}

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\begin{frame}{Some Methods}
\begin{description}
\item[Proof by Obviousness]{\it The proof is so clear that it need not be mentioned.}
\item[Proof by General Agreement]{\it All in Favor?...}
\item[Proof by Imagination]{\it Well, We'll pretend its true.}
\item[Proof by Convenience]{\it It would be very nice if it were true, so ...}
\item[Proof by Necessity]{\it It had better be true or the whole structure of mathematics would crumble to the ground.}
\item[Proof by Plausibility]{\it It sounds good so it must be true.}
\item[Proof by Intimidation]{\it Don't be stupid, of course it's true.}
\item[Proof by Lack of Sufficient Time]{\it Because of the time constraint, I'll leave the proof to you.}
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\begin{frame}{For the visual learner}

\centerline{\includegraphics[height=7cm]{SidneyHarris_MiracleWeb.eps}}

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\begin{frame}{More Methods}
\begin{description}
\item[Proof by Postponement]{\it The proof for this is so long and arduous, so it is given in the appendix.}
\item[Proof by Accident]{\it Hey, what have we here?}
\item[Proof by Insignificance]{\it Who really cares anyway?}
\item[Proof by example]{\it The author gives only the case n = 2 and suggests that it contains most of the ideas of the general proof.}
\item[Proof by omission]{\it The reader may easily supply the details} or {\it The other 253 cases are analogous}
\item[Proof by deferral]{\it We'll prove this later in the course.}
\item[Proof by exhaustion]{\it An issue or two of a journal devoted to your proof is useful}
\item[Proof by eminent authority]{\it Euler proved this in volume $\sqrt{-17}$
of his complete works.}
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