Cadavre exquis, or the exquisite corpse, is based on a couple of ideas, the collective unconsious, the belief (held by surrealists) that any one can be an artist, and, finally, the mystique of accident. For example, check out this:

It was created by Hans Arp, surrealist painter, who is said to have let the squares of paper fall to the canvas where they may and them adhered them to it. It was not intentional, it was accident they way they landed.

The actual game is based on an old parlor game played by several people, each of whom would write a phrase on a sheet of paper, fold the paper to conceal part of it, and pass it on to the next player for his contribution. The technique is said to have gotten its name from results obtained in initial playing, “Le cadavre / exquis / boira / le vin / nouveau” (The exquisite corpse will drink the young wine). These poetic fragments were felt to reveal what Nicolas Calas characterized as the “unconscious reality in the personality of the group” resulting from a process of what Ernst called “mental contagion.” (Just so you know, the source of the information in this paragraph is:

Another technique was automatic writing, where you sit down and write for hours (usually under the influence of alcohol or marijuana, the surrealist were not adverse to altered mental states). You don’t think about what you’re writing, you just do it. This is how they would write their poetry. Of course, you end up with pages upon pages of unusable material which you have to sift through to find the really striking images. Anyway, it was thought that in this way you could access the unconcious. And of course, there was the dream world. See Salvador Dali.

So we played the game, the basic rules are:  half of us wrote the begining of a sentence starting with If, and the other half wrote the second half of the sentence starting with Then. This is what we came up with.

If you were smarter Then I’m a Jelly Doughnut
If i were a little teapot whose spout is broken and whose handle is splintering Then Nick will be Awesome
If I were president Then i would get some delicious things

Thanks much to Tonya for introducing the game and giving me all this excellent information!