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The Tenth International Congress of Logic, Methodology and Philosophy of Science, which took place in Florence in August 1995, offered a vivid and comprehensive picture of the present state of research in all areas of logic and the philosophy of science. The papers chosen for inclusion in the present volume represent a combination of technical results in pure and applied logic with papers devoted to conceptual analysis, deeply rooted in advanced, current research. The selection ranges from contributions in proof theory, model theory, set theory and formal systems, to philosophical logic and the philosophical and foundational problems of logic, mathematics and computer science. The volume is of interest to the logical specialist and scholars interested in critical reflections on the foundations of logic, mathematics and computer science.