Math lets you do a lot of things. But here are 5 things that **Math does not allow you to do**:

1) Math does not allow you to divide by zero.

Because the universe will implode.

###### Image credit: ESO/M. Kornmesser

2) Math does not allow you to prove every statement.

English: This statement cannot be proved.

Math-speak:

\[ \sim ( 3r:3s: \, (P (r,s) V ( s = g (\text{sub} ( f_2(y))))) \]

3) Math does not allow you to create infinite chocolate

Because only oranges can be Banach-Tarski duplicated.

4) Math does not allow you to comb a hairy ball.

This rabbit is doomed to looking unkempt forever. It cannot be combed.

###### Image credit: Wikipedia Betty Chu

5) Math does not allow you to define a dull number.

Suppose not. Find the smallest. Then that number is interesting ...

Know of any good paradoxes? Add them to the Paradox page!

## Comments

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TopNewestMath does not allow you to get a girlfriend :P

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That is so 2013. It only takes 88 dates

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I stand corrected...up to a certain extent.

AND CAN YOU PLEASE EXPLAIN THAT CHOCOLATE GIF TO ME

I watched it for like 4 minutes... But I still don't get if

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Banach-Tarski Paradox

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So wait this implies if you have a solid sphere you can make infinitely more out of it? I've heard of that before but eh don't really get it. I get teh chocolates - took liek a month to figure out off of an analogous triangle problem. But not this Banach-Tarski slice n' dice.

Oh, and I dunno as far as dividing by zero goes; what about complex infinity?

s

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The main "paradox" is that volume is not preserved under rotation, unless the set is "measurable". As such, the idea is to cut the ball up into non-measurable parts, and then move them around to change the volume, and then piece them back together again.

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Can you please explain that logic notation?

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Math do not allow you to find the actual value of pi (not22/7 but 1-1/3+1/5-......)

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The exact value of \( \pi \) is \( \pi \) itself :)

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Math does not help you decide when you are going to have an exam:

The last Friday my teacher announced that he will give us an exam on the following Monday, Tuesday or Wednesday and that the exam will be a suprise. I argued that the exam cannot be held on Wednesday because at the end of Tuesday I will know that the exam will be held on Wednesday and therefore it will not be a surprise. By the same arguing the exam cannot be held on Tuesday because at the end of Monday I will know that the exam will be held on Tuesday and therefore it will not be a surprise. So the exam must be held on Monday. I argued that it cannot be on Monday because it will not be a surprise. The exam was on Tuesday and it was a surprise!

See https://en.wikipedia.org/wiki/Unexpected

hangingparadoxLog in to reply

Math's does not allow us to understand universe

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It's doing a really good job of it so far. What else explains it better?

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The problem is that the more we understand about the universe, the more we know how little we understand.

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Maths does not reach the infinite or uncountable.

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