The theory of sets, described in the preface to this book as 'Georg
Cantor's magnificent theory' was first developed in the 1870s, and
was recognised as one of the most important new branches of
mathematical science. W. H. Young and his wife Grace Chisholm Young
wrote this book, published in 1906, as a 'simple presentation'; but
they warn that it is effectively a work in progress: the writing
'has necessarily involved attempts to extend the frontier of
existing knowledge, and to fill in gaps which broke the connexion
between isolated parts of the subject.' The Young's were a dynamic
force in mathematical research: William had been Grace's tutor at
Girton College; she was subsequently the first woman to be awarded
a Ph. D by the University of G ttingen. Cantor himself said of the
book: 'It is a pleasure for me to see with what diligence, skill
and success you have worked.'
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