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One hundred years ago, Russell and Whitehead published their
epoch-making Principia Mathematica (PM), which was initially
conceived as the second volume of Russell's Principles of
Mathematics (PoM) that had appeared ten years before. No other
works can be credited to have had such an impact on the development
of logic and on philosophy in the twentieth century. However, until
now, scholars only focused on the first parts of the books - that
is, on Russell's and Whitehead's theory of logic, set-theory and
arithmetic.
Sebastien Gandon aims at reversing the perspective. His goal is to
give a picture of Russell's logicism based on a detailed reading of
the developments dealing with advanced mathematics - namely
projective geometry and the theory of quantity. This book is not
only the first study ever made of the 'later' portions of PoM and
PM, it also shows how this shift of perspective compels us to
change our view of the logicist program taken as a whole.
In this excellent book Sebastien Gandon focuses mainly on Russell's
two major texts, Principa Mathematica and Principle of Mathematics
, meticulously unpicking the details of these texts and bringing a
new interpretation of both the mathematical and the philosophical
content. Winner of The Bertrand Russell Society Book Award 2013.
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