# 수학자가 코끼리를 냉장고에 넣는 방법을 통한 수학 입문

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## 개요

Analysis:

1) 미분을 한 뒤 냉장고에 집어넣는다.

그 다음에, 냉장고 속에서 적분한다.

2)

Redefine the measure on the referigerator (or the elephant).

3) Banach - Tarsky 정리를 적용한다

Apply the Banach-Tarsky theorem.

Number theory:

1) 소인수 분해 한 뒤, 곱한다.

First factorize, second multiply.

2) 수학적 귀납법을 통해 언제나 약간 더 냉장고에 집어 넣을 수 있음을 보인다

Use induction. You can always squeeze a bit more in.

Algebra:

1)

1 단계 : 코끼리의 부분들은 냉장고에 들어갈 수 있음을 보인다

Step 1. Show that the parts of it can be put into the refrig.

2 단계 : 냉장고가 덧셈에 대해 닫혀 있음을 보인다.
Step 2. Show that the refrig. is closed under the addition.

2)

Take the appropriate universal refrigerator and get

a surjection from refrigerator to elephant.

Topology:

1) Have it swallow the refrig. and turn inside out.

2) Make a refrig. with the Klein bottle.

3) The elephant is homeomorphic to a smaller elephant.

4) The elephant is compact, so it can be put into a finite collection

of refrigerators. That's usually good enough.

5) The property of being inside the referigerator

is hereditary. So, take the elephant's mother,

cremate it, and show that the ashes fit inside the refrigerator.

6) For those who object to method 3 because it's cruel to animals.

Put the elephant's BABY in the refrigerator.

Algebraic topology:

Replace the interior of the refrigerator by its

universal cover, R^3.

Linear algebra:

1) Put just its basis and span it in the refrig.

2) Show that 1% of the elephant will fit inside the refrigerator.

By linearity, x% will fit for any x.

Affine geometry:

There is an affine transformation putting the

elephant into the refrigerator.

Set theory:

1) It's very easy!

refrigerator = { elephant } 2) The elephant and the interior of the

refrigerator both have cardinality c.

Geometry:

Declare the following:

Axiom 1. An elephant can be put into a refrigerator.

Complex analysis:

Put the refrig. at the origin

and the elephant outside the unit circle.

Then get the image under the inversion.

Numerical analysis:

1) Put just its trunk and refer the rest to the error term.

2) Work it out using the Pentium.

Statistics:

1) bright statistician.

Put its tail as a sample and say "Done."

2) dull statistician.

Repeat the experiment pushing the elephant to the refrig.

3) Our NEW study shows that you CAN'T put the elephant

in the refrigerator.