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charset="utf-8"; format=flowed Content-Transfer-Encoding: quoted-printable Dear Vyacheslav Kalmykov, I find your justification for advertising this work on the category theory = mailing list very tenuous. In the paper you link, the only mentions of cate= gories are with regard to R. Rosen's work from the 1950s, and you otherwise= discuss only cellular automata with no explicit mention of techniques that= are explicitly categorical. I am also critical of the article overall. Putting aside the bulk of the ar= ticle taken up with discussion of orthogonal applications of cellular autom= ata, whether historical (applied to "ancient board games") or highly specul= ative (Wolfram's idea that cellular automata may capture a "code of the uni= verse"), the main contribution of the paper seems to be the proposal of mod= elling biological systems in this way. In the process, you criticize "black= box models" in spite of the fact that besides potentially having more para= meters, your cellular automaton proposal is still absolutely a black box mo= del, and moreover one with no accompanying empirical evidence of successful= prediction. While I am by no means an expert in mathematical modelling as it pertains t= o biology, it is clear that many more biological effects are mentioned (Sec= tion 2.6) than can be accounted for by the mathematically vague axiomatizat= ion of your model (Section 2.7). Moreover, in spite of the statement made i= n Section 2.5 that "The theory of the subject area serves as a knowledge ba= se for creating a symbolic mathematical model in that subject area," no dir= ect connection between the theoretical biology mentioned and the proposed m= odel is made. For these reasons, I discourage my peers from engaging with this work. Best regards, Morgan Rogers On 07/02/2024 02:43, Vyacheslav Kalmykov wrote: 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 --------------epW6FVZvmpdhVAw25mOhlCBO Content-Type: text/html; charset=UTF-8 Content-Transfer-Encoding: quoted-printable

Dear Vyacheslav Kalmykov,

I find your justification for advertising this work on the category theo= ry mailing list very tenuous. In the paper you link, the only mentions of c= ategories are with regard to R. Rosen's work from the 1950s, and you otherw= ise discuss only cellular automata with no explicit mention of techniques that are explicitly categorical.

I am also critical of the article overall. Putting aside the bulk of the= article taken up with discussion of orthogonal applications of cellular au= tomata, whether historical (applied to "ancient board games") or = highly speculative (Wolfram's idea that cellular automata may capture a "code of the universe"), the main contrib= ution of the paper seems to be the proposal of modelling biological systems= in this way. In the process, you criticize "black box models" in= spite of the fact that besides potentially having more parameters, your cellular automaton proposal is still absolutely a black b= ox model, and moreover one with no accompanying empirical evidence of succe= ssful prediction.

While I am by no means an expert in mathematical modelling as it pertain= s to biology, it is clear that many more biological effects are mentioned (= Section 2.6) than can be accounted for by the mathematically vague axiomati= zation of your model (Section 2.7). Moreover, in spite of the statement made in Section 2.5 that "The the= ory of the subject area serves as a knowledge base for creating a symbolic = mathematical model in that subject area," no direct connection between= the theoretical biology mentioned and the proposed model is made.

For these reasons, I discourage my peers from engaging with this work= .

Best regards,
Morgan Rogers

On 07/02/2024 02:43, Vyacheslav Kalmykov wro= te:

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 transparen= t mathematical modeling: from ecology to general science. Academia Biol= ogy 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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