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charset="utf-8" Content-Transfer-Encoding: quoted-printable Dear colleagues, I would like to draw the community's attention to the special role of categ= ory theory in the applied race for transparency in mathematical models. Thi= s race for transparency is particularly fueled by concerns about the reliab= ility and safety of modern artificial intelligence, which is by nature a "b= lack box". Category theory allows us to view complex systems transparently.= Morphisms allow the individual behavior of category objects to be taken in= to account. Functors and natural transformations make it possible to model = higher levels of organization of a complex system. A categorical view of mu= lti-level organization has helped us create cellular automata models of eco= systems. We hope that transparent categorical and cellular automata thinkin= g will expand their representation in science and education. Kalmykov VL, Kalmykov LV. Manifesto for transparent mathematical modeling: = from ecology to general science. Academia Biology 2024;2. https://doi.org/1= 0.20935/AcadBiol6166 Kind regards, Vyacheslav Kalmykov You're receiving this message because you're a member of the Categories mai= ling list group from Macquarie University. To take part in this conversatio= n, reply all to this message. View group files | Leave group | = Learn more about Microsoft 365 Groups --000000000000d5e8260610c0d347 Content-Type: text/html; charset=UTF-8 Content-Transfer-Encoding: quoted-printable

Dear colleagues,


I would like to draw the community's a= ttention to the special role of category theory in the applied race for tra= nsparency in mathematical models. This race for transparency is particularly fueled by concerns about the reliability and = safety of modern artificial intelligence, which is by nature a "black = box". Category theory allows us to view complex systems transparently.= Morphisms allow the individual behavior of category objects to be taken into account. Functors and natural transforma= tions make it possible to model higher levels of organization of a complex = system. A categorical view of multi-level organization has helped us create= cellular automata models of ecosystems. We hope that transparent categorical and cellular automata thinking will e= xpand their representation in science and education.


Kalmykov VL, Kalmykov LV. Manifesto for transparent mathematical modeling: from ecology to general science. Academia Biology 2024;2. https://doi.org/10.20935/AcadBiol6166


Kind regards,


Vyacheslav Kalmykov

 
 
You're receiving this message because you're a member of the Categories mai= ling list group from Macquarie University. To take part in this conversatio= n, reply all to this message.
 
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