TOP FIVE EXCUSES FOR NOT DOING THE MATH HOMEWORK
  1. I accidentally divided by zero and my paper burst into flames.
  2. I have the proof, but there isn't room to write it in this margin.
  3. I have a solar powered calculator and it was cloudy.
  4. I locked the paper in my trunk but a four-dimensional dog got in and ate it.
  5. I could have sworn I put the homework inside a Klein bottle, but this morning I couldn't find it.
THE SHEEP OF SCOTLAND

A mathematician, a physicist, and a biologist were travelling through Scotland when they saw a black sheep through the window of the train.
"Aha," says the biologist, "I see that Scottish sheep are black."
"Hmm," says the physicist, "You mean that some Scottish sheep are black."
"No," says the mathematician, "All we know is that there is at least one sheep in Scotland, and that at least one side of that one sheep is black!"

JUST VISUALIZE

A Mathematician (M) and an Engineer (E) attend a lecture by a Physicist. The topic concerns Kulza-Klein theories involving physical processes that occur in spaces with dimensions of 9, 12 and even higher. The M is sitting, clearly enjoying the lecture, while the E is frowning and looking generally confused and puzzled. By the end the E has a terrible headache. At the end, the M comments about the wonderful lecture.
The E says "How do you understand this stuff?"
M: "I just visualize the process"
E: "How can you POSSIBLY visualize something that occurs in 9-dimensional space?"
M: "Easy, first visualize it in N-dimensional space, then let N go to 9"

PROBLEM SOLVING

A mathematician and a physicist were asked the following question:
Suppose you walked by a burning house and saw a hydrant and a hose not connected to the hydrant. What would you do?
P: I would attach the hose to the hydrant, turn on the water, and put out the fire.
M: I would attach the hose to the hydrant, turn on the water, and put out the fire.
Then they were asked this question:
Suppose you walked by a house and saw a hose connected to a hydrant. What would you do?
P: I would keep walking, as there is no problem to solve.
M: I would disconnect the hose from the hydrant and set the house on fire, reducing the problem to a previously solved form.

June 9, 1995
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