Comment on "Resolution of the Einstein-Podolsky-Rosen and Bell Paradoxes" Alan Macdonald Department of Mathematics Luther College, Decorah, IA 52101, U.S.A. macdonal@luther.edu Phys. Rev. Lett. 49, 1215 (1982). (Slightly modified.) PACS: 03.65.Bz In a recent letter,1 Pitowsky has given a model of electron spin in which "Every electron at each given moment has a definite spin in all directions", but which, he claims, does not imply Bell's inequality. A non-Kolmogorov probability theory in the model prevents the usual proofs of Bell's inequality from going through. I give here a very simple proof of a Bell-type inequality from the quoted statement. The inequality shows that the statement is inconsistent with quantum mechanics. Consider N pairs of electrons in the singlet state. One member of each pair moves to the left and the other to the right. Let N(A+ : C+) be the number of pairs in which the left member has spin up in the A direction and the right member has spin up in the C direction. Let N(A+ C− :) be the number in which the left member has spin up in the A direction and spin down in the C direction. According to the quoted statement, these are meaningful quantities. Then N(A+ : C+) = N(A+ C− :) = N(A+B− C− :) +N(A+B+ C− :) ≤ N(A+B− :) +N(B+ C− :) = N(A+ : B+) +N(B+ : C+). Quantum mechanics predicts that if N(A+ : C+) is measured, then N(A+ : C+)/N ≈ 12 sin 2 θAC 2 , where θAC is the angle between A and C. According to the quoted statement N(A+ : C+) exists independently of whether it is measured or not and so the approximation holds whether it is measured or not. The above inequality is inconsistent with the approximation for θAB = θBC = 60 ◦ and θAC = 120 ◦ 1 I. Pitowsky, Phys. Rev. Lett. 48, 1299 (1982).