Books in the Series on Knots & Everything series

Offers a different way of thinking about two significant problems confronting modern theoretical physics: the unification of the forces of nature and the evolution of the universe. In bringing out the inadequacies of the prevailing approach to these questions, this book demonstrates the need for more than just a different theory.

In diamond, a statement can be true yet false; an 'imaginary' state, midway between being and non-being. Diamond's imaginary values solve many logical paradoxes unsolvable in two-valued boolean logic. This title deals with 'diamond', a logic of paradox. It resolves paradoxes by Russell, Cantor, Berry and Zeno.

These pictures illustrate standard examples in low dimensional topology. The text starts at the most basic level (the intersection of coordinate planes) and gives hands-on constructions of some beautiful examples in topology, including Poincare's example of a homology sphere, and knotted surfaces.