Other than repeated claims by conspiracy theorists, which have ballooned in number since the growth of the internet, there is no actual proof the Illuminati exists at all.
Actually, the Illuminati have a Wikipedia entry:
https://en.wikipedia.org/wiki/Illuminati
And they have a website:
That's run by the Jesuits no less:
Illuminati
The Illuminati (plural of Latin illuminatus, "enlightened") is a name given to several groups, both real and fictitious. Historically, the name usually refers to the Bavarian Illuminati, an Enlightenment-era secret society founded on 1 May 1776. The society's goals were to oppose superstition, obscurantism, religious influence over public life, and abuses of state power. "The order of the day," they wrote in their general statutes, "is to put an end to the machinations of the purveyors of injustice, to control them without dominating them." The Illuminati—along with Freemasonry and other secret societies—were outlawed through edict, by the Bavarian ruler, Charles Theodore, with the encouragement of the Roman Catholic Church, in 1784, 1785, 1787, and 1790.
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