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Mathematical paradoxes
Possibly the greatest paradox is that mathematics has paradoxes...
Complex functions paradoxes
Infinity paradoxes
Set theory paradoxes
We will add more

Ross-Littlewood paradox

Cards with numbers 1, 2, 3, ... are put in a box in a particular order.

One minute before noon numbers from 1 till 10 are put and a number 1 is taken back.

1/2 minute before noon numbers from 11 till 20 are put and a number 2 is taken back.

1/3 minute before noon numbers from 21 till 30 are put and a number 3 is taken back.

And so on.

How many numbers are in the box at noon?

Answer: none.

We can consider any number, for example number N. It will be taken back at N-th operation. Let us look at the set:

pairing numbers

It is an "empty" set, and from mathematical point of view there is no paradox.

by Tetyana Butler

Complex functions Tutorial
Complex analysis is studying the most unexpected, surprising, even paradoxical ideas in mathematics. The familiar rules of algebra and trigonometry of real numbers may break down when applied to complex numbers.
Free Lessons

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