Intelligence involves both reasoning and learning. This UROP project focuses on exploring the integration of logical reasoning with machine learning, with an emphasis on graph machine learning. The project will study foundational concepts and engineering techniques that underlie modern reasoning engines. It will also survey recent research that uses graph machine learning to enhance reasoning systems, as well as the reverse. Additionally, the project will explore neuro-symbolic methods. The goal of the project is to develop a framework for learning algorithms that can learn reasoning abilities autonomously, creating a novel approach to solving complex problems that require logical reasoning.