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Books > Science & Mathematics > Mathematics > Mathematical foundations
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Introduction to Metamathematics (Hardcover)
Loot Price: R2,732
Discovery Miles 27 320
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Introduction to Metamathematics (Hardcover)
Series: Bibliotheca Mathematica
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Stephen Cole Kleene was one of the greatest logicians of the
twentieth century and this book is the influential textbook he
wrote to teach the subject to the next generation. It was first
published in 1952, some twenty years after the publication of
Gadel's paper on the incompleteness of arithmetic, which marked, if
not the beginning of modern logic, at least a turning point after
which oenothing was ever the same. Kleene was an important figure
in logic, and lived a long full life of scholarship and teaching.
The 1930s was a time of creativity and ferment in the subject, when
the notion of aEUROoecomputableaEURO moved from the realm of
philosophical speculation to the realm of science. This was
accomplished by the work of Kurt Gade1, Alan Turing, and Alonzo
Church, who gave three apparently different precise definitions of
aEUROoecomputableaEURO . When they all turned out to be equivalent,
there was a collective realization that this was indeed the oeright
notion. Kleene played a key role in this process. One could say
that he was oethere at the beginning of modern logic. He showed the
equivalence of lambda calculus with Turing machines and with
Gadel's recursion equations, and developed the modern machinery of
partial recursive functions. This textbook played an invaluable
part in educating the logicians of the present. It played an
important role in their own logical education.
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