Thursday, April 13, 2006

Can 2=1?

I spent two years teaching math as an adjunct instructor at Valencia Community College in Orlando, FL. I always enjoyed giving my students brainteasers to work on for extra-credit. Here’s one of my favorites:



Try to figure this one out! How is it possible that two is equal to one, when we all know that that isn't true. Try to spot the mistake one of the twins made!

Can you figure it out?

2 comments:

root said...

Interesting.

As to "thought"'s explanation, I guess that makes sense within the context of mathematics.

What doesn't make sense to me is how zero can't be divided by, yet can be divided.

As if I can quarter an orange I don't have. :P

David said...

I always learned that we can divide zero because I can give nothing to x different people but we can't divide by zero because I can't give x to no people (at the very least, I would have x). This is obviously inadequate: I can divide by .1 but I am not .1 of a person (though I have ex-girlfriends that would surely disagree)...if you justify that I only have it 10% of the time, where is it the other 90%?