Relay-Version: version B 2.10 5/3/83; site utzoo.UUCP Posting-Version: version B 2.10.2 9/18/84; site ur-tut.UUCP Path: utzoo!watmath!clyde!burl!ulysses!gamma!epsilon!zeta!sabre!petrus!bellcore!decvax!genrad!panda!talcott!harvard!seismo!rochester!ur-tut!naus From: naus@ur-tut.UUCP (Paul Marchese) Newsgroups: net.books,net.jokes.d,net.math Subject: Re: MATHEMATICS AND HUMOR by John Allen Paulos Message-ID: <107@ur-tut.UUCP> Date: Mon, 9-Sep-85 00:51:59 EDT Article-I.D.: ur-tut.107 Posted: Mon Sep 9 00:51:59 1985 Date-Received: Wed, 11-Sep-85 08:16:25 EDT References: <1117@mtgzz.UUCP> Organization: Univ. of Rochester Computing Center Lines: 80 Xref: watmath net.books:2283 net.jokes.d:1154 net.math:2247 > > MATHEMATICS AND HUMOR by John Allen Paulos > University of Chicago Press, 1980, $12.95. > A book review by Mark R. Leeper > > A good while back, I came to the conclusion that most humor is really > making a philosophical point in a very pithy and succinct manner. It seemed > to me that laughter at a joke was much akin to what Martin Gardner calls the > "Aha!" experience in problem solving. It seemed to me that if I thought > long enough about any joke, deep down there was a philosophical principle it > demonstrated. Let me give at least some examples that show at least some > jokes come down to such principles. A film I saw recently had a character > speaking a foreign translation, the English translation of which was printed > on the screen in subtitles. Another character who didn't understand the > foreign language looked down and read the subtitles instead. What point > does this make? It says in the syntax of cinema that two completely > different images are super-imposed on the screen. One is the story level > containing the characters; the other is a helping "presentation" layer. > This layer does things like translate with subtitles and shows that little > blip that tells the projectionist that the end of the reel is coming. The > joke is really just a way of saying that the story layer is not supposed to > be affected by the presentation layer. The result of breaking that rule is > incongruity. > > Here is another example, in this case from MONTY PYTHON. In most > disciplines, if you know for sure that a procedure works, that procedure > will probably be more useful to you. You prove a theorem, for example, and > then you can apply it elsewhere. A counter-example is a foreign phrase- > book. The way to know for sure that a phrase-book would be useful is to > know both languages and hence make the phrase-book useless to you. A > phrase-book is only useful to you if you have no direct evidence that it is > useful. MONTY PYTHON makes this point in a very terse manner when it has a > phrase-book translate innocent foreign phrases into English phrases like > "Please fondle my buttocks." > > But the sad fact is that, while it is often not all that difficult to > pull a philosophical idea out of a joke, it seems to be more an art than a > science. Someone else might be able to pull a very different philosophical > point out of a joke and if they can do that, it calls to question whether > the joke is really making a real philosophical point or not. This was the > state I was in when I came upon the book MATHEMATICS AND HUMOR by John Allen > Paulos. > > Paulos claims to use mathematical structures to analyze humor and what > is funny. In fact, I am not sure that Paulos really has a better idea than > I already had on how to glean serious points out of humor. He explains a > few mathematical structures--self-referential statements, recursion, over- > lapping sets, and catastrophe sheets--to analyze some jokes, but he seems to > just take a few jokes to exemplify each and even there, the over-lapping > sets and the catastrophe sheets could be used for the same jokes. Take an > example. He uses over-lapping sets to explain the joke: > Interviewer [presumably at YMCA]: Do you think clubs are > appropriate for small children? > W. C. Fields: Only when kindness fails. > The word 'clubs' really fits into two classes: social organizations and > blunt instruments. The joke switches us from one of these classes as a > context to the other. However, the same joke could have turned up in a > later chapter as a "jumping between the sheets" in a catastrophe theory > model. Catastrophe theory studies discontinuous events in which small > changes will have large effects, like "the straw that broke the camel's > back." Fields's remark snaps us from one context for the term 'clubs' to > another. Paulos's book does little to add to our analytical understanding > of humor. > > One useful idea that does come out of the book comes from Wittgenstein. > The philosopher feels that you could write an entire book of philosophy made > up of only jokes. To understand each joke is to understand a philosophical > point. That is sort of the dual of the statement I made. It would mean > that for any philosophical chain of arguments, there is a chain of jokes > expressing it. My contention was that any joke can be resolved into a > philosophical point. Together they form a sort of equivalence theorem. > > Getting back to the book, it does not add much to our understanding of > humor, but it might tempt some students to read it for the humor and learn a > little math along the way. > > Mark R. Leeper > ...ihnp4!mtgzz!leeper *** REPLACE THIS LINE WITH YOUR MESSAGE ***