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Hilbert and Bernays' 'Grundlagen der Mathematik'appeared in two
volumes in 1934 and 1939, asecond edition in 1968 and 1970. It
offers afoundation for proof theory and is a major source onDavid
Hilbert's formalist programme, Paul Bernays'philosophy, the epsilon
operator, and much more.It has been a profound infl uence on
mathematics, logic, and philosophy, and it covers formal groundand
philosophical perspectives beyond the scope ofWhitehead and
Russell's 'Principia Mathematica' andFrege's 'Grundlagen der
Arithmetik'.This book is not only essential to any scholar of
thehistory and philosophy of modern mathematics, but italso
contains formal research - on the epsilon and iotaoperators - of
contemporary relevance to logicians, mathematicians and computer
science. For us, it isone of the most fascinating books ever
written.This a bilingual German-English, commented editionof the
'Grundlagen'. It is the fi rst English publicationof these texts
and shows the facsimile of the Germanoriginal text on the left-hand
side of a double page, and its English translation on the
right-hand side.In addition to extensive comments on the historyand
the interpretation of the text's mathematicaland philosophical
content, there are also carefulannotations regarding the
differences between thetwo German editions (1934/39,1968/1970) of
thistwo volume monograph.
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