What a great turn of phrase!
The state of being wrong at every conceivable scale of resolution. That is, from a distance, a fractally wrong person’s worldview is incorrect; and furthermore, if you zoom in on any small part of that person’s worldview, that part is just as wrong as the whole worldview.
Debating with a person who is fractally wrong leads to infinite regress, as every refutation you make of that person’s opinions will lead to a rejoinder, full of half-truths, leaps of logic, and outright lies, that requires just as much refutation to debunk as the first one. It is as impossible to convince a fractally wrong person of anything as it is to walk around the edge of the Mandelbrot set in finite time.
If you ever get embroiled in a discussion with a fractally wrong person on the Internet–in mailing lists, newsgroups, or website forums–your best bet is to say your piece once and ignore any replies, thus saving yourself time.
Flashes of the electrons to Liz Ditz back to Normal is Overrated then all the way back to Keunwoo Lee’s Lexicon 2, with side signals to Dr. Goodword’s Language Blog, the Urban Dictionary, and Fractally Wrong (marvelous favicon!).