The popular literature on mathematical logic is rather extensive
and written for the most varied categories of readers. College
students or adults who read it in their free time may find here a
vast number of thought-provoking logical problems. The reader who
wishes to enrich his mathematical background in the hope that this
will help him in his everyday life can discover detailed
descriptions of practical (and quite often -- not so practical )
applications of logic. The large number of popular books on logic
has given rise to the hope that by applying mathematical logic,
students will finally learn how to distinguish between necessary
and sufficient conditions and other points of logic in the college
course in mathematics. But the habit of teachers of mathematical
analysis, for example, to stick to problems dealing with sequences
without limit, uniformly continuous functions, etc. has,
unfortunately, led to the writing of textbooks that present
prescriptions for the mechanical construction of definitions of
negative concepts which seem to obviate the need for any thinking
on the reader's part. We are most certainly not able to enumerate
everything the reader may draw out of existing books on
mathematical logic, however.
General
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