Mathematical theorist Alfred Tarski stated that "arithmetic truth cannot be defined in arithmetic" - a statement that corroborates G"odel's "proof" that mathematical truth cannot be verified from within mathematics.
Tarski's theorem (which is stated more explicitly by his mathematical formulae) can be applied to the UFO problem; that is, the UFO truth cannot be determined by the UFO mystery itself.
The UFO phenomenon can only be scrutinized satisfactorily by methodologies outside the phenomenon, methodologies not directly related to the phenomenon or even tangentially connected to it.
Ufologists have been kept from arriving at the truth of what UFOs are (or are not) by attacking the enigma from inside it rather than looking at the phenomenon from outside itself.
But how does a ufologist go about studying UFOs without using UFOs for their inquiry? By inferences from other disciplines, such as mythology, religion, psychology, sociology, astronomy, physics (especially quantum mechanics), historical and anthropological exegeses, and yes, math, among others.
Tackling UFOs by anecdotal ruminations and circumstantial evidence, such as photos and videos, merely confuses the analysis of UFOs. Witness reports end up being red-herrings, and image gathering is beset by hoaxes and fraud generally.
The problem is compounded by the dire incompetence of ufologists, who've kidnapped the phenomenon, and tainted it for scientific and academic scrutiny.
(For example, one ballyhooed ufologist states in a TV UFO documentary that some sightings have "collaborated" others. He should have said "corroborated" but intelligence and wit are sorely lacking in the UFO community, so his gaffe is not atypical.)
The venerated computer scientist Jacques Vallee approaches (and has approached) the UFO phenomenon much in the way suggested here, but his reclusiveness (out of a need to avoid the insane and nasty machinations of those ufologists who have assumed ownership of the whole UFO panoply) hasn't allowed an evolution in the UFO solution.
One would think that "open-source" in UFO investigation, much as it does in software development, would endear Mr. Vallee to that methodology but, again, the madmen of ufology dissuade him, and others, from sharing insight and knowledge across the board, or in a public venue.
Nonetheless, as one mid-life critical ufologist and filmmaker suggests, the kids are alright [sic], so perhaps they will open the UFO mystery to new scrutinizes, if and when the old guard passes away, and UFOs become viable to genial dialogue and study.