Explore foundational advancements in mathematical logic with this pivotal collection from the Logic Colloquium 2005. Delve into seminal papers showcasing breakthroughs in model theory and algebra, a comprehensive survey of combinatorial set theory, and an insightful tutorial on proof theory and modal logic. Essential for Indian scholars, researchers, and postgraduate students in symbolic logic, mathematics, and philosophy of mathematics. This volume offers deep dives into Bernays’ philosophy of mathematics and theoretical computer science, solidifying its place as a key resource for academic exploration.