Thursday, June 22, 2006

Conversational Keywords with a Mathematician

I believe that every field has some conversational keywords. By "conversational keywords" I mean words which although used innocently in the vernacular, trigger large cascades of memories in classes and homework along with a whole plethora of meanings, most of which your conversant did not intend to convey.

Being a mathematician, I would like to share with you some of our conversational keywords.

"What are the chances/odds that...": All mathematicians have had some probability, and I would venture to say that a large number have had one or more probability classes. Although our professors usually use the word "probability" instead of "chance," the phrase is still enough to invoke images of normal curves and chi-squared distributions and questions involving transformations of random variables. When a mathematician hears this phrase, he/she will actually be thinking about what the probability is, which immediately distracts from the remainder of the conversant's statement.

"Infinite Combinations": Both the words "infinity" and "combination" are highly mathematical words with specific definitions. However, in most conversational cases, this phrase is an oxymoron. Example: "Coldstone Creamery has an infinite combination of flavors." False. Since I know Coldstone Creamery has a finite number of flavors, the combinations of those flavors must also be finite. There are many similar situations in which this phrase arises.

"Chaos": Chaos theory, otherwise known as nonlinear dynamics, is a new and specialized branch of mathematics. Chaos does not mean disorder, which is usually how it is used in the vernacular. Chaos does have order, it is simply that the order is not predictible n steps down the road. If you want to know more, ask in the comments.

(This one is just me.) "Random": There is no such thing as random. Every "random" event you have ever known is actually chaotic, and is only "random" because you cannot predict the outcome.

"Trivial": In mathematics, trivial means the easy way out. It's the solution that is dumb. For example, in a system of n equations with n variables, all of which equal zero, the trivial solution is that every variable equals zero. Not exciting. In the vernacular, trivial usually means something inconsequential, which is not the same as in mathematics. Trivial solutions may have consequences, but they are always easy to find.

"Googol (or Google)": This is 10100 . It is not a search engine. Deal with it.

Comment on your own field's conversational keywords. I'd be interested to hear some words that set others heads spinning.

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