It is not a technical proof that lends itself to be proven or disproven.

it is a piece of prose that took some license with it's language. Also, the total number of words in the English language != the amount of synonyms for invariably.

By your own standard you are just as incorrect as the author the article. You have posted a bad, misleading or imprecise sentence to suggest the author has hundreds of thousands of words to choose from. He does not.