This is the first of two volumes comprising the papers submitted for publication by the invited participants to the Tenth International Congress of Logic, Methodology and Philosophy of Science, held in Florence, August 1995. The Congress was held under the auspices of the International Union of History and Philosophy of Science, Division of Logic, Methodology and Philosophy of Science. The invited lectures published in the two volumes demonstrate much of what goes on in the fields of the Congress and give the state of the art of current research. The two volumes cover the traditional subdisciplines of mathematical logic and philosophical logic, as well as their interfaces with computer science, linguistics and philosophy. Philosophy of science is broadly represented, too, including general issues of natural sciences, social sciences and humanities. The papers in Volume One are concerned with logic, mathematical logic, the philosophy of logic and mathematics, and computer science.

President's address.- Section 1 Proof theory and categorical logic.- Proof-theoretical aspects of self-referential truth.- Free lattices, communication and money games.- On methods for proving lower bounds in propositional logic.- On bounded set theory.- Section 2 Model theory, set theory and formal systems.- Infinitary logic in finite model theory.- Decision problems for second-order linear logic.- Comparing the continuum with the first two uncountable cardinals.- Section 3 Recursion theory and constructivism.- Church's thesis and Hume's problem.- The logic of functional recursion.- From higher order terms to circuits.- Computability and enumerability.- Mechanistic theories in cognitive science: the import of Turing's thesis.- Section 5 Philosophical logic.- Conjoining and disjoining on different levels.- Logical consequence: a turn in style.- Applying normative rules with restraint.- Section 10 Philosophy of logic, mathematics and computer science.- What can we do "in principle"?.- Causation, action, and counterfactuals.- Symposium 1 Logic and philosophy of science: current interfaces.- Logic and philosophy of science: current interfaces.- Reliable belief revision.- Explanatory translation: beyond functionalism and reductionism.- Abductive reasoning: logic, visual thinking, and coherence.- Can the laws of nature (physics) be complete?.- Symposium 4 Logic in Central and Eastern Europe.- Logic in Central and Eastern Europe.- Logic in Czechoslovakia and Hungary.- Mathematical logic in the former Soviet Union: brief history and current trends.- Logic in Central and Eastern Europe: Balkan region.- The postwar panorama of logic in Poland.- Closing address.- Structure and perspective: philosophical perplexity and paradox.- Table of contents Vol. II.