In 1969, John McCarthy and Pat Hayes uncovered a problem that has haunted the field of artificial intelligence ever since--the frame problem. The problem arises when logic is used to describe the effects of actions and events. Put simply, it is the problem of representing what remains unchanged as a result of an action or event. Many researchers in artificial intelligence believe that its solution is vital to the realization of the field's goals. Solving the Frame Problem presents the various approaches to the frame problem that have been proposed over the years. The author presents the material chronologically--as an unfolding story rather than as a body of theory to be learned by rote. There are lessons to be learned even from the dead ends researchers have pursued, for they deepen our understanding of the issues surrounding the frame problem. In the book's concluding chapters, the author offers his own work on event calculus, which he claims comes very close to a complete solution to the frame problem. Artificial Intelligence series

How organizations can use practices developed by expert designers to solve today's open, complex, dynamic, and networked problems. When organizations apply old methods of problem-solving to new kinds of problems, they may accomplish only temporary fixes or some ineffectual tinkering around the edges. Today's problems are a new breed—open, complex, dynamic, and networked—and require a radically different response. In this book, Kees Dorst describes a new, innovation-centered approach to problem-solving in organizations: frame creation. It applies “design thinking,” but it goes beyond the borrowed tricks and techniques that usually characterize that term. Frame creation focuses not on the generation of solutions but on the ability to create new approaches to the problem situation itself. The strategies Dorst presents are drawn from the unique, sophisticated, multilayered practices of top designers, and from insights that have emerged from fifty years of design research. Dorst describes the nine steps of the frame creation process and illustrates their application to real-world problems with a series of varied case studies. He maps innovative solutions that include rethinking a store layout so retail spaces encourage purchasing rather than stealing, applying the frame of a music festival to understand late-night problems of crime and congestion in a club district, and creative ways to attract young employees to a temporary staffing agency. Dorst provides tools and methods for implementing frame creation, offering not so much a how-to manual as a do-it-yourself handbook—a guide that will help practitioners develop their own approaches to problem-solving and creating innovation.

"The author makes a compelling case that we often start solving a problem before thinking deeply about whether we are solving the right problem. If you want the superpower of solving better problems, read this book." -- Eric Schmidt, former CEO, Google Are you solving the right problems? Have you or your colleagues ever worked hard on something, only to find out you were focusing on the wrong problem entirely? Most people have. In a survey, 85 percent of companies said they often struggle to solve the right problems. The consequences are severe: Leaders fight the wrong strategic battles. Teams spend their energy on low-impact work. Startups build products that nobody wants. Organizations implement "solutions" that somehow make things worse, not better. Everywhere you look, the waste is staggering. As Peter Drucker pointed out, there's nothing more dangerous than the right answer to the wrong question. There is a way to do better. The key is reframing, a crucial, underutilized skill that you can master with the help of this book. Using real-world stories and unforgettable examples like "the slow elevator problem," author Thomas Wedell-Wedellsborg offers a simple, three-step method - Frame, Reframe, Move Forward - that anyone can use to start solving the right problems. Reframing is not difficult to learn. It can be used on everyday challenges and on the biggest, trickiest problems you face. In this visually engaging, deeply researched book, you’ll learn from leaders at large companies, from entrepreneurs, consultants, nonprofit leaders, and many other breakthrough thinkers. It's time for everyone to stop barking up the wrong trees. Teach yourself and your team to reframe, and growth and success will follow.

Complex problem solving is the core skill for 21st Century Teams Complex problem solving is at the very top of the list of essential skills for career progression in the modern world. But how problem solving is taught in our schools, universities, businesses and organizations comes up short. In Bulletproof Problem Solving: The One Skill That Changes Everything you’ll learn the seven-step systematic approach to creative problem solving developed in top consulting firms that will work in any field or industry, turning you into a highly sought-after bulletproof problem solver who can tackle challenges that others balk at. The problem-solving technique outlined in this book is based on a highly visual, logic-tree method that can be applied to everything from everyday decisions to strategic issues in business to global social challenges. The authors, with decades of experience at McKinsey and Company, provide 30 detailed, real-world examples, so you can see exactly how the technique works in action. With this bulletproof approach to defining, unpacking, understanding, and ultimately solving problems, you’ll have a personal superpower for developing compelling solutions in your workplace. Discover the time-tested 7-step technique to problem solving that top consulting professionals employ Learn how a simple visual system can help you break down and understand the component parts of even the most complex problems Build team brainstorming techniques that fight cognitive bias, streamline workplanning, and speed solutions Know when and how to employ modern analytic tools and techniques from machine learning to game theory Learn how to structure and communicate your findings to convince audiences and compel action The secrets revealed in Bulletproof Problem Solving will transform the way you approach problems and take you to the next level of business and personal success.

Whether you are a student or a working professional, you can benefit from being better at solving the complex problems that come up in your life. Strategic Thinking in Complex Problem Solving provides a general framework and the necessary tools to help you do so. Based on his groundbreaking course at Rice University, engineer and former strategy consultant Arnaud Chevallier provides practical ways to develop problem solving skills, such as investigating complex questions with issue maps, using logic to promote creativity, leveraging analogical thinking to approach unfamiliar problems, and managing diverse groups to foster innovation. This book breaks down the resolution process into four steps: 1) frame the problem (identifying what needs to be done), 2) diagnose it (identifying why there is a problem, or why it hasn't been solved yet), 3) identify and select potential solutions (identifying how to solve the problem), and 4) implement and monitor the solution (resolving the problem, the 'do'). For each of these four steps - the what, why, how, and do - this book explains techniques that promotes success and demonstrates how to apply them on a case study and in additional examples. The featured case study guides you through the resolution process, illustrates how these concepts apply, and creates a concrete image to facilitate recollection. Strategic Thinking in Complex Problem Solving is a tool kit that integrates knowledge based on both theoretical and empirical evidence from many disciplines, and explains it in accessible terms. As the book guides you through the various stages of solving complex problems, it also provides useful templates so that you can easily apply these approaches to your own personal projects. With this book, you don't just learn about problem solving, but how to actually do it.

“Cukier and his co-authors have a more ambitious project than Kahneman and Harari. They don’t want to just point out how powerfully we are influenced by our perspectives and prejudices—our frames. They want to show us that these frames are tools, and that we can optimise their use.” —Forbes From pandemics to populism, AI to ISIS, wealth inequity to climate change, humanity faces unprecedented challenges that threaten our very existence. The essential tool that will enable humanity to find the best way foward is defined in Framers by internationally renowned authors Kenneth Cukier, Viktor Mayer-Schönberger, and Francis de Véricourt. To frame is to make a mental model that enables us to make sense of new situations. Frames guide the decisions we make and the results we attain. People have long focused on traits like memory and reasoning, leaving framing all but ignored. But with computers becoming better at some of those cognitive tasks, framing stands out as a critical function—and only humans can do it. This book is the first guide to mastering this human ability. Illustrating their case with compelling examples and the latest research, authors Cukier, Mayer-Schönberger, and de Véricourt examine: · Why advice to “think outside the box” is useless · How Spotify beat Apple by reframing music as an experience · How the #MeToo twitter hashtag reframed the perception of sexual assault · The disaster of framing Covid-19 as equivalent to seasonal flu, and how framing it akin to SARS delivered New Zealand from the pandemic Framers shows how framing is not just a way to improve how we make decisions in the era of algorithms—but why it will be a matter of survival for humanity in a time of societal upheaval and machine prosperity.

“Teaching through problem-solving” is a commonly used phrase for mathematics educators. This book shows how to use worthwhile and interesting mathematics tasks and problems to build a classroom culture based on students’ reasoning and thinking. It develops a set of axioms about problem-solving classrooms to show teachers that mathematics is playful and engaging. It presents an aspirational vision for school mathematics, one which all teachers can bring into being in their classrooms.