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SUMMARY:On disappearing material practices: from folding and modeling in t
 he 20th century to AI ‘produced’ diagrams in the 21st century - Michae
 l Friedman (University of Bonn)
DTSTART:20250501T130000Z
DTEND:20250501T140000Z
UID:TALK230404@talks.cam.ac.uk
DESCRIPTION:At the beginning of the 20th century\, geometry based on paper
  folding flourished. Indeed\, it was discovered during the first decades o
 f this century that such geometry was more powerful than the geometry base
 d on compass and straightedge in terms of the constructions that could be 
 made. Moreover\, at the end of the 19th century and resp. during the secon
 d half of the 20th century\, there was a growing recognition of the episte
 mic power of 3-dimensional material models resp. of 2-dimensional diagrams
 . However\, the end of the 20th century saw a fundamental change in the st
 atus of these material practices. With the introduction of computer progra
 ms for folding\, new mathematical and algorithmic phenomena were discovere
 d that could not have been found using purely manual methods. Moreover\, i
 n recent years\, the AI-based program AlphaGeometry has managed to find un
 expected solutions to problems in plane geometry\, solutions that were onl
 y retrospectively accompanied by diagrams. In my talk\, I would like to ex
 plore different stages in the disappearance of such material practices\, a
 s well as the new role concerning the status of materiality in the 21st ce
 ntury mathematical research.
LOCATION:Seminar Room 1\, Newton Institute
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