As artificial intelligence increasingly shapes every aspect of human life, from healthcare to justice, governance to culture, the need for AI systems that are ethically aware, contextually sensitive, and cognitively advanced has never been greater. This volume explores Sophimatics, a revolutionary interdisciplinary field that integrates philosophy, mathematics and artificial intelligence to develop intelligent agents capable of ethical reasoning, real-time adaptability and meaningful interaction. By combining probabilistic reasoning with cognitive models, sophimatic AI overcomes the limitations of traditional black-box systems, enabling transparent and responsible decision-making even under conditions of uncertainty. This volume examines cutting-edge applications of Sophimatics, from personalised healthcare to financial systems, demonstrating how these systems integrate diverse socio-economic and cultural variables to achieve more nuanced and context-based outcomes. Through extensive case studies and theoretical insights, the book highlights Sophimatics’ unique capacity for dialectical reasoning, intentional memory, and incremental learning, key factors in building an AI capable of ethically engaging with the complexities of real-world decision-making. A vital resource for researchers, practitioners, and policymakers, this book charts the future of AI as a collaborative and morally grounded partner in human progress.