Epistemic Horizons: This Sentence is 1/√2(|True> + |False>) (original) (raw)

In [Found. Phys. 48.12 (2018): 1669], the notion of 'epistemic horizon' was introduced as an explanation for many of the puzzling features of quantum mechanics. There, it was shown that Lawvere's theorem, which forms the categorical backdrop to phenomena such as Gödelian incompleteness, Turing undecidability, Russell's paradox and others, applied to a measurement context, yields bounds on the maximum knowledge that can be obtained about a system. We give a brief presentation of the framework, and then proceed to study it in the particular setting of Bell's theorem. Closing the circle in the antihistorical direction, we then proceed to use the obtained insights to shed some light on the supposed incompleteness of quantum mechanics itself, as famously argued by Einstein, Podolsky, and Rosen.