This text unites the logical and philosophical aspects of set
theory in a manner intelligible both to mathematicians without
training in formal logic and to logicians without a mathematical
background. It combines an elementary level of treatment with the
highest possible degree of logical rigor and precision.
Starting with an explanation of all the basic logical terms and
related operations, the text progresses through a stage-by-stage
elaboration that proves the fundamental theorems of finite sets. It
focuses on the Bernays theory of finite classes and finite sets,
exploring the system's basis and development, including Stage I and
Stage II theorems, the theory of finite ordinals, and the theory of
finite classes and finite sets. This volume represents an excellent
text for undergraduates studying intermediate or advanced logic as
well as a fine reference for professional mathematicians.
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