Mistakes are disappointing, but sometimes they can be entertaining. In this post, I will give a list of incorrect mathematical arguments, that are not that easy to notice, especially if you are in a hurry. A few of these delicately wrong arguments were given by me at some points of my life. I will not point out which ones, though :)

An incorrect proof of the Baire category theorem for the set of real numbers

2. Does the central limit theorem contradict the law of the iterated logarithm?

Hi Somabha, is it possible for us to see the answer somewhere?:)