A very brief recollection of the history of the Central Limit Theorem: 162 years from Moivre to Feller in a page.
If you are interested in reading more about the history of the Central Limit Theorem, I highly recommend:
- The Central Limit Theorem Around 1935 paper by L. Le Cam published in 1986 in Statistical Science.
- A History of the Central Limit Theorem, From Classical to Modern Theory Probability book by Hans Fischer published in 2011 which contains all the mathematical details.