INTRODUCTION TO MATHEMATICAL PHILOSOPHY

By C. ALZIL

CONTENTS ON THE “LOGIC WITHOUT BORDERS” POINT OF VIEW ARROW’S THEOREM BY ARROW THEORY HOW BIG SHOULD THE MONSTER MODEL BE? MODAL LOGIC IN THE MODAL SENSE OF MODALITY LINDSTRÖM’S THEOREM FOR POSITIVE LOGICS, A TOPOLOGICAL VIEW MODEL THEORY OF FIELDS WITH OPERATORS – A SURVEY SOME ASPECTS OF THE RAMSEY THEORY OF REAL NUMBERS THE SINGULAR WORLD OF SINGULAR CARDINALS LOGICAL NIHILISM THE DOXASTIC INTERPRETATION OF TEAM SEMANTICS THE SIZE OF A FORMULA AS A MEASURE OF COMPLEXITY NOTES ON THE HISTORY OF SCOPE UNIVERSAL STRUCTURES WITH FORBIDDEN HOMOMORPHISMS COUNTING MEASURE AND FORKING IN FINITE MODELS THE MODEL THEORY OF GENERIC CUTS ON NATURAL DEDUCTION IN DEPENDENCE LOGIC IN?NITARY METHODS IN FINITE MODEL THEORY SATURATING THE RANDOM GRAPH WITH AN INDEPENDENT FAMILY OF SMALL RANGE CONSTRUCTIVE REALISM IN MATHEMATICS THE TWIN CONTINUA OF INDUCTIVE METHODS AEC WITH NOT TOO MANY MODELS PURSUING LOGIC WITHOUT BORDERS