Bell's Inequality Untwisted is a unique book. The author's aim is to explain in detail all the equations and statements in John S. Bell's ground-breaking paper, published in 1964,"On the Einstein Podolsky Rosen Paradox." He attempts an in depth explanation of Bell's paper in a way that is understandable to a wide audience. In the process of explaining every equation in detail, it becomes clear that Bell's 1964 paper is a series of incoherent equations, and his famous eponymic inequality is an unjustified assertion. Bell's elliptic style of writing calls out for comprehensive explanations of his equations. Explanations that fill the lacunae in his mathematical system. When the gaps in his system are filled, the inconsistent and illogical nature of his reasoning becomes clear. Bell's inequality holds a very important place in the development of quantum mechanics. The fact that the profound shortcomings of Bell's paper are not widely known is telling.