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SUMMARY:Enlarging One's Stall: Reflections upon Logic's Role      within t
 he Growth of Nineteenth Century Mathematics -      Mark Wilson (Pittsburgh
 )
DTSTART:20110602T130000Z
DTEND:20110602T140000Z
UID:TALK29746@talks.cam.ac.uk
CONTACT:Set Theory and Logic
DESCRIPTION:      In their Introduction to Quaternions (1882)\, Kelland \n
 and Tait wrote: ``It is only by standing loose for a time to \nlogical acc
 uracy that extensions in the abstract sciences... \nare effected...The mom
 ent an extended idea [of multiplication] \nwas entertained\, ever so illog
 ically\, that moment fractional \narithmetic started into existence.''\n\n
       I shall attempt to survey some of the ways in which \nmathematicians
  of the time (such as Klein\, Dedekind and Frege) \nattempted to tame the 
 unmoored empiricism implicit in this quotation.\n
LOCATION: Meeting room 14\, Centre for Mathematical Sciences
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