Dear All,

This Wednesay at the HPS Philosophy Workshop, Leo Corry will present a 
paper entitled "Nicolas Bourbaki and the Concept of Mathematical 
Structure".

An abstract is included below.

As usual, the meeting takes place 1-2pm, at HPS on Free School Lane. All 
are welcome.

Best wishes, 
Emily

----------------------------------
Nicolas Bourbaki and the Concept of Mathematical Structure

The concept of structure is one of the most pervasive ideas of twentieth
century mathematics, and it is associated more than with anyone else, with
the name of Nicolas Bourbaki. This was the pseudonym adopted by a group of
(mostly French) leading mathematicians that undertook the collective
writing of a treatise meant to present the entire picture of mathematics
centered on the idea of structure. This treatise had a tremendous impact on
mathematical research and teaching all around the world at least between
1945 and the 1970s. The idea of structure as associated with Bourbaki also
had important echoes in fields like the philosophy of mathematics
(structuralism),  developmental psychology (Piaget), social anthropology
(Levi-Strauss) and mathematical education (the New Math).

In my talk I examine the origins and development of Bourbaki's idea of
structure. I will show that this idea had two totally different and
separate aspects that have typically been conflated in misleading ways. One
is a general approach to  the practice of mathematics, which was only
implicit in their work, and which is where Bourbaki's influence had its
 greatest effect. The second one was a formal mathematical concept that was
meant to underlie all of their conception and to provide an overall
uniformity to their treatment of the various mathematical disciplines. This
was a rather unsuccessful idea devoid of any consequences on what Bourbaki
did, on what other mathematicians could do, of what happened in mathematics
in any other way, but at the same time it was the main source of their
alleged importance for the philosophy of mathematics or outside
mathematics.

_____________________________________________________
Sent by the CamPhilEvents mailing list. To unsubscribe 
or change your membership options, please visit the list 
information page: http://bit.ly/CamPhilEvents

Posts are archived here: http://bit.ly/CamPhilEventsArchive

Reply via email to