http://www.phys.unsw.edu.au/einsteinlight/jw/module3_weird_logic.htm Professor Joe Wolfe: "At this stage, many of my students say things like "The invariance of the speed of light among observers is impossible" or "I can't understand it". Well, it's not impossible. It's even more than possible, it is true. This is something that has been extensively measured, and many refinements to the Michelson and Morely experiment, and complementary experiments have confirmed this invariance to very great precision. As to understanding it, there isn't really much to understand. However surprising and weird it may be, it is the case. It's the law in our universe. The fact of the invariance of c doesn't take much understanding: what requires understanding are its consequences, and how it can be integrated into what we already know."
In Big Brother's world, 2+2=5 doesn't take much understanding: what requires understanding are its consequences, and how it can be integrated into what Oceania's students already know:
http://ebooks.adelaide.edu.au/o/orwell/george/o79n/chapter1.7.html George Orwell: "In the end the Party would announce that two and two made five, and you would have to believe it. It was inevitable that they should make that claim sooner or later: the logic of their position demanded it. Not merely the validity of experience, but the very existence of external reality, was tacitly denied by their philosophy. The heresy of heresies was common sense. And what was terrifying was not that they would kill you for thinking otherwise, but that they might be right. For, after all, how do we know that two and two make four? Or that the force of gravity works? Or that the past is unchangeable? If both the past and the external world exist only in the mind, and if the mind itself is controllable what then?"
Consequences of the postulate 2+2=5 that require understanding and that Oceania's students should integrate into what they already know:
3(2+2) = 3*5 = 15
3(2+2) = 3*2 + 3*2 = 6 + 6 = 12
The paradox is analogous to the twin paradox in Divine Albert's world.