Explore the complexities of algorithmic decision-making and its impact on society in this thought-provoking lecture by Professor Sir David Spiegelhalter. Delve into the importance of transparency, validation, and explainability in automated advice systems, tracing the evolution of these concerns from the 1980s to present day. Learn about the concept of 'intelligent transparency' and discover a framework for evaluating algorithmic trustworthiness. Examine real-world applications through the Predict system for breast cancer treatment decisions, featuring multiple levels of explanation. Gain insights into the challenges of communicating uncertainty, ensuring fairness, and maintaining transparency in proprietary algorithms. Engage with critical questions about the role of algorithms in shaping our world and the ethical considerations surrounding their use in sensitive decision-making processes.