[TedTed]

(I wrote the article.)

Excellent point! That's one of the reasons why people understood that syntactic definitions (which try and tell you "how anonymous data is" by looking at the data) were not the right approach, and that you had to look at the mechanism to determine whether the process was sufficiently private.

This line of thinking led to the definition of differential privacy, which completely changed the perspective. I wrote two articles about it, one very simple [1] and the other a bit more detailed [2].

[1] https://desfontain.es/privacy/differential-privacy-awesomene...

[2] https://desfontain.es/privacy/differential-privacy-in-more-d...