A Dictionary of Philosophical Logic

A Dictionary of Philosophical Logic

A Dictionary of Philosophical Logic

A Dictionary of Philosophical Logic


This valuable reference introduces undergraduate and post-graduate students to the main problems and positions of philosophical logic. Elements include crucial figures, positions, terminology, and debates within philosophical logic as well as issues that pertain to related, overlapping disciplines, such as set theory and the philosophy of mathematics. Entries are extensively cross-referenced for identification within the context of wider debates.


The mathematical study of logic, and philosophical thought about logic, are two of the oldest and most important human undertakings. As a result, great advances have been made. the downside of this, of course, is that one needs to master a great deal of material, both technical and philosophical, before one is in a position to properly appreciate these advances.

This dictionary is meant to aid the reader in gaining such a mastery. It is not a textbook, and need not be read as one. Instead, it is intended as a reference, supplementing traditional study in the field – a place where the student of logic, of whatever level, can look up concepts and results that might be unfamiliar or have been forgotten.

The entries in the dictionary are extensively cross-referenced. Within each entry, the reader will notice that some terms are in bold face. These are terms that have their own entries elsewhere in the dictionary. Thus, if the reader, upon reading an entry, desires more information, these keywords provide a natural starting point. in addition, many entries are followed by a list of additional cross-references.

In writing the dictionary a number of choices had to be made. First was the selection of entries. in this dictionary I have tried to provide coverage, both broad and deep, of the major viewpoints, trends, and technical tools within philosophical logic. in doing so, however, I found it necessary to include quite a bit more. As a result, the reader will find many entries that do not seem to fall squarely under the heading “philosophical logic” or even “mathematical logic.” in particular, a number of entries concern set theory, philosophy of mathematics, mereology, philosophy of language, and other fields connected to, but not identical with, current research in philosophical logic. the inclusion of these additional entries seemed natural, however, since a work intending to cover all aspects of philosophical logic should also cover those areas where the concerns of philosophical logic blur into the concerns of other subdisciplines of philosophy.

In choosing the entries, another issue arose: what to do about expressions that are used in more than one way in the literature. Three distinct sorts of cases arose along these lines.

The first is when the same exact sequence of letters is used in the . . .

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