This book develops arithmetic without the induction principle,
working in theories that are interpretable in Raphael Robinson's
theory Q. Certain inductive formulas, the bounded ones, are
interpretable in Q. A mathematically strong, but logically very
weak, predicative arithmetic is constructed. Originally published
in 1986. The Princeton Legacy Library uses the latest
print-on-demand technology to again make available previously
out-of-print books from the distinguished backlist of Princeton
University Press. These editions preserve the original texts of
these important books while presenting them in durable paperback
and hardcover editions. The goal of the Princeton Legacy Library is
to vastly increase access to the rich scholarly heritage found in
the thousands of books published by Princeton University Press
since its founding in 1905.
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