Can you point to a good debunking?
If you make a password from an alphabet of 64 characters (upper and lower case, digits, and some special characters), there are 6 bits per character of entropy so a ten character random password could have 60 bits of entropy.
If you are choosing words from a list 4000 words long, there are 11 bits of entropy per word and so you would need to string together five random words to get a password of equal strength. The big problem then is having enough space to type that many characters.
Edit: that's a pretty nice slide deck. Thanks for the pointer.
Since I still run into services where the "forgot password" mechanism emails your current password in the clear, this is unfortunately not as true as one would hope.