Includes bibliographical references.

Logic, mathematics, ontology / F. Miró Quesada -- From certainty to fallibility in mathematics? / M. Borga -- Moderate mathematical fictionism / M. Bunge -- Language and coding-dependency of results in logic and mathematics / P. Weingartner -- What is a profound result in mathematics? / G.G. Granger -- The hylemorphic schema in mathematics / R. Thom -- Categorical foundations of the protean character of mathematics / S. Mac Lane -- Category theory and structuralism in mathematics : syntactical considerations / J.P. Marquis -- Reflection in set theory : the Bernays-Levy axiom system / G.H. Múller -- Structuralism and the concept of set / C. Parsons -- Aspects of mathematical experience / W. Sieg -- Logicism revisited in propositional fragment of LeÈsniewski's ontology / A. Ishimoto -- The relation of mathematics to the other sciences / E. Agazzi -- Mathematics and physics / G.M. Prosperi -- The mathematical overdetermination of physics / E. Scheibe -- Gödel's incompleteness theorem and quantum thermodynamic limits / D. Mundici -- Mathematical models in biology / J. Ricard, K. Ricard -- The natural numbers as a universal library / J. Mosterín -- Mathematical symmetry principles in the scientific world view / G. Darvas -- Mathematics and logics : Hungarian traditions and the philosophy of non-classical logic / K.G. Havas -- Umfangslogik, inhaltslogik, theorematic reasoning / G. Heinzmann .