The irrationality of α in
Shelah-Spencer's paper on 0-1 laws for random graphs G(n,p[n]), p[n]=n-α, α ∈ (0,1) irrational (set of nodes in [n]= {1, ...,n}, edges drawn independently, probability of edge p[n] - check
this link) is (according to Assaf) deeply connected to Hrushovski's use of irrational parameters in the predimension for his
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