## Logic and Scientific Methods: Volume One of the Tenth International Congress of Logic, Methodology and Philosophy of Science, Florence, August 1995Maria Luisa Dalla Chiara, Kees Doets, Daniele Mundici, Johan van Benthem 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. |

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### Contents

PROOFTHEORETICAL ASPECTS OF SELFREFERENTIAL TRUTH | 7 |

FREE LATTICES COMMUNICATION AND MONEY GAMES | 29 |

ON METHODS FOR PROVING LOWER BOUNDS IN PROPOSITIONAL LOGIC | 69 |

ON BOUNDED SET THEORY | 85 |

Model Theory Set Theory and Formal Systems | 105 |

INFINITARY LOGIC IN FINITE MODEL THEORY | 107 |

DECISION PROBLEMS FOR SECONDORDER LINEAR LOGIC | 127 |

COMPARING THE CONTINUUM WITH THE FIRST TWO UNCOUNTABLE CARDINALS | 145 |

WHAT CAN WE DO IN PRINCIPLE? | 335 |

CAUSATION ACTION AND COUNTERFACTUALS | 355 |

Logic and Philosophy of Science Current Interfaces | 377 |

CURRENT INTERFACES | 379 |

RELIABLE BELIEF REVISION | 383 |

Beyond Functionalism and Reductionism | 399 |

LOGIC VISUAL THINKING AND COHERENCE | 413 |

CAN THE LAWS OF NATURE PHYSICS BE COMPLETE? | 429 |

Recursion Theory and Constructivism | 157 |

CHURCHS THESIS AND HUMES PROBLEM | 159 |

THE LOGIC OF FUNCTIONAL RECURSION | 179 |

FROM HIGHER ORDER TERMS TO CIRCUITS | 209 |

COMPUTABILITY AND ENUMERABILITY | 221 |

THE IMPORT OF TURINGS THESIS | 239 |

Philosophical Logic | 259 |

CONJOINING AND DISJOINING ON DIFFERENT LEVELS | 261 |

A TURN IN STYLE | 289 |

APPLYING NORMATIVE RULES WITH RESTRAINT | 313 |

Foundations of Logic Mathematics and Computer Science | 333 |

Logic in Central and Eastern Europe | 447 |

LOGIC IN CENTRAL AND EASTERN EUROPE | 449 |

LOGIC IN CZECHOSLOVAKIA AND HUNGARY | 451 |

BRIEF HISTORY AND CURRENT TRENDS | 457 |

BALKAN REGION | 485 |

THE POSTWAR PANORAMA OF LOGIC IN POLAND | 497 |

Closing Address | 509 |

PHILOSOPHICAL PERPLEXITY AND PARADOX | 511 |

TABLE OF CONTENTS VOLUME II | 531 |

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### Common terms and phrases

abduction Abelian algebra algorithmic application argument arithmetic assertions axioms basic belief revision calculus causal classical cognitive complete Computer Science conjecture consider construction corresponding counterfactual cut elimination data stream deduction defined definition denote domain elements empirical encoding equations equivalent example finite model theory finite structures first-order first-order logic formal formula free lattices given Godel graph hypothesis IMLL2 induction inference interpretation intuitionistic logic ISBN isomorphism Kleene language lattice Lemma linear logic logicians lower bounds Math Mathematical Logic mechanism method modal logic model theory natural numbers normative notion operations partial Philosophy of Science poset predicate principle problem procedure proof theory properties propositional provable prove query recursion theory recursive functions rules satisfies scientific second-order semantics sentences sequents set theory subset Symbolic Theorem tion true truth Turing machine Turing's University variables