In this paper we will show the irrationality of n √ 2 for all natural numbers n ≥ 2.

We apply the theory of disconjugate linear recurrence relations to the study of irrational quantities in number theory. In particular, we show that there exists a four-term real linear recurrence relation whose solutions allow us to produce a tractable equivalent criterion for the quadratic irrationality of ζ(3), where ζ is the classic Zeta function of Riemann or, for that matter, the quadratic...

people for their evil activities. Hence, irrational thinking should be associated with increased individual sensitivity concerning unfair social events. Results of our study (N = 108) confirm this hypothesized correlation between Irrationality and Justice Sensitivity. Notably, the strongest correlation was found between low frustration tolerance, a subdimension of irrationality, and justice sen...