Can-openers, Cows, and Razors

Can-openers, Cows, and Razors

Where would scientists be, if they weren’t allowed to make certain convenient assumptions? Insisting on mathematical rigour would mean the untimely death of scores of bright young economists.

Assume a Can Opener

A joke, mocking economists and other professionals who base their conclusions on unrealistic or unlikely assumptions, first mentioned in a book by British economist Kenneth E. Boulding:

A physicist, a chemist, and an economist were stranded on a desert island with no implements and a can of food. The physicist and the chemist each devised an ingenious mechanism for getting the can open; the economist merely said, “Assume we have a can opener”!

Assume thesis

You there, the physics grad! Quit sniggering, you’re up next.

Spherical Cow

A metaphor for highly simplified scientific models of complex real life phenomena, poking fun at theoretical physicists and their habit of conveniently reducing a problem to the simplest imaginable form.

“How does a physicist milk a cow?”

“Well, first let us consider a spherical cow…”

Spherical cow

I’ll close with a word of warning. The fewer assumptions, the better.

Occam’s Razor

Alternatively, Ockham’s razor. A problem-solving principle attributed to William of Ockham:

Among competing hypotheses, the one with the fewest assumptions should be selected.

One justification of Occam’s razor is a direct result of basic probability theory. By definition, all assumptions introduce possibilities for error, therefore if an assumption does not improve the accuracy of a theory, its only effect is to increase the probability that the overall theory is wrong.

Occam's professor