This book focuses on the development of new thinking in complexity and on the tools needed for this new thinking, i.e. the development of a new language for complexity. This new language is very much about how a nonlinear complex reality is part of real-world complexity. We can start thinking in complexity about the complex topics of our social sciences and humanities by making use of this new language. With the new tools and the new language, it will be possible to deal with the complexity of real-world complexity and to show the promise of harnessing complexity, by turning complexity into effective and advantageous complexity for our social sciences and humanities. It is the very potential of complexity as self-potentiating which makes complexity so beneficial for viewing and doing social sciences. The new tools and the new thinking in complexity may be considered to be the warp and woof of a new science of complexity.