 Selected Topics from Contemporary Logics
Melvin Fitting, editor
As used by professional logicians today, is the name of their chosen subject< >singular or plural, “logic” or “logics”? This is a special case of a more general< >question. For instance, an alge aist might write a book entitled “Alge a”, which< >is about alge as. Though many mathematicians are not aware of it, logic today< >most decidedly has its plural aspect. Indeed, it always did. Classical logic, which< >mathematicians often tend to identify with the entirety of logic, was in place< >roughly by the beginning of the twentieth century. Since then a wide range of< >socalled nonclassical logics have been developed. But indeed, before the creation< >of classical logic, there were multiple versions of logic, some of them moreorless< >formalized. The current growing interest in medieval and ancient European and< >Asian logics has ought much of this back to modern awareness. Perhaps a later< >volume in this series will look at the history from a contemporary viewpoint. But< >that is not our task here.< >< >This is the second volume in a series called Landscapes in Logic. The intention< >of the series is to present reports illustrating the interplay between contemporary< >work in logic and mainstream mathematics. Of course this is both vague and< >overly ambitious, and must result in heterogeneous collections. The first volume< >in the series, Contemporary Logic and Computing, appeared in 2020. The< >contents divided plausibly into topics from contemporary logic, and from contemporary< >computing. The present volume is more diverse, and includes articles< >about both classical and nonclassical logics, sometimes from the semantic side< >and sometimes from the prooftheoretic side. Some articles are primarily technical,< >often alge aic, while others are more philosophical in nature. Many fit into< >multiple categories. This multiplicity should not be seen as a defect. The papers< >here do not just explore logics house by house, but say something about their< >general neighborhoods as well.
6 October 2021
9781848903500
