[Fis] Biologic - at the interface between biology, topology, logic and cybernetics (by Lou Kauffman)

Sat Jan 4 16:26:27 CET 2025

Dear Louis,

Fascinating approach and tremendous effort. Thank you for all your work!

But a lot to read!  But from an initial skimming, we have some 
commonalities of interest and concepts.

Since your work is a bit overwhelming, hence my first response is with a 
"Back at ya!"   Have a look at:

(1.) A formalization of embryogenesis of cancer  which contains many of 
the ideas and forms you talk about:

     'Cybernetics' of Cancer: https:arxiv.org/abs/1110.5865

(2.) And a wider view of inter-genome interactions versus your 
intra-genome copy-cat interactions that may be related to your 'knotty' 
ideas:

     Genome Interactions in Development and Evolution: 
https://urldefense.com/v3/__https://arxiv.org/abs/1212.5439__;!!D9dNQwwGXtA!UYK3U5uPm8X_-PYmhQ2uxvCO7o6Hj3NY7b7EsSRPKK1hbtjJyZOJ8284ZeGmKVdcAgnY0XUyshx3NQQh2Bw_zvM$ 

(3.) And a philosophical - semantic view of genomes:

     Genome semantics: 
https://urldefense.com/v3/__https://febs.onlinelibrary.wiley.com/doi/10.1016/j.febslet.2005.02.01__;!!D9dNQwwGXtA!UYK3U5uPm8X_-PYmhQ2uxvCO7o6Hj3NY7b7EsSRPKK1hbtjJyZOJ8284ZeGmKVdcAgnY0XUyshx3NQQhD9ODzN8$ 

There is more of course, but we don't want to get too wordy. 😉

Kind regards,

Eric

On 1/4/25 1:42 PM, Pedro C. Marijuán wrote:
> Biologic - at the interface between biology, topology, logic and 
> cybernetics.
> Asunto: 	Re: Biologic - at the interface between biology, topology, 
> logic and cybernetics.
> Fecha: 	Fri, 3 Jan 2025 12:38:13 -0600
> De: 	Louis Kauffman <loukau at gmail.com>
> Para: 	"Pedro C. Marijuán" <pedroc.marijuan at gmail.com>
>
>
> Download of below articles available until Feb 2, 2025
> 'Slides Festival' available at: https://urldefense.com/v3/__https://fis.sciforum.net/resources/__;!!D9dNQwwGXtA!UYK3U5uPm8X_-PYmhQ2uxvCO7o6Hj3NY7b7EsSRPKK1hbtjJyZOJ8284ZeGmKVdcAgnY0XUyshx3NQQh0pM7nOg$ 
>
>
>
> *Biologic - at the interface between biology, topology, logic and 
> cybernetics.*
> *
> *
> *Louis H Kauffman, UIC*
>
> “What can be shown, cannot be said.”
> “Was gezeigt werden kann, kann nicht gesagt werden.”
> (Wittgenstein, Tractatus, 4.1212)
>
> “We take the form of distinction for the form.”
> (Spencer-Brown, Laws of Form, Chapter 1)
>
> What is the form of biology?
> Is there a biology of form?
>
> In particular, this is a study of different forms and formalisms for 
> replication. We concentrate on diagrammatic formal systems not only 
> for the sake of showing how there may be fundamental mathematical 
> structure in biology, but also to consider philosophical and 
> phenomenological points of view in relation to natural science and 
> mathematics. The relationship with phenomenology comes about in the 
> questions that arise about the nature of the observer in relation to 
> the observed that arise in philosophy, but also in science in the very 
> act of determining the context and models upon which it shall be 
> based. Our original point of departure was the idea of distinction and 
> cybernetic epistemology. Cybernetic epistemology has much to say about 
> the relation of the self to structures that may harbor a self. What is 
> the interlacement of selves and organisms?
> Our point of view is structural. There is a distinct difference 
> between building up structures in terms of principles and imagining 
> that models of the world are constructed from some sort of 
> building-bricks. I want  to make this point as early as possible 
> because in mathematics one naturally generates hierarchies, but that 
> does not make the mathematician a reductionist. We think of geometry 
> as the consequences of certain axioms for the purpose of organizing 
> our knowledge, not to insist that these axioms are in any way other 
> than logically prior to the theorems of the system. Just so, we look 
> for fundamental patterns from which certain complexes of phenomena and 
> ideas can be organized. This does not entail any assumption about 
> ``the world'' or how the world may be built from parts. What is a part 
> that a world might be built from it?
>
> We examine the schema behind the reproduction of DNA. The pattern of 
> the DNA reproduction is very simple. The DNA molecule consists of two 
> interwound strands, the Watson Strand (W)  and the Crick Strand (C). 
> The two strands are bonded to each other via a backbone of 
> base-pairings and these bonds can be broken by certain enzymes present 
> in the cell. In reproduction of DNA the bonds between the two strands 
> are broken and the two strands then acquire the needed complementary 
> base molecules from the cellular environment to reconstitute each a 
> separate copy of the DNA. At this level the situation can be described 
> by a symbolism like this.
> DNA = <W|C> ----->  <W| E |C> ----->  <W|C> <W|C> = DNA DNA.
> Here E stands for the environment of the cell. The first arrow denotes 
> the separation of the DNA into the two strands. The second arrow 
> denotes the action between the bare strands and the environment (the 
> creation of new base-pairings) that leads to the production of the two 
> DNA molecules.
>
> Much is left out of this schema. Indeed the DNA molecule is a tight 
> spiral winding of its two interlocked strands and so the new DNA's 
> would be linked around one another if it were not for the work of 
> toposomerase enzymes that manage to unlink the new DNA's in time for 
> cell division to occur. Nevertheless, this is the large scale 
> description of the replication of DNA that is fundamental to the 
> division of cells and to the continuance of living organisms.
>
> This form of replication can be compared with other forms. For 
> example, John von Neumann suggested a “building machine” B such that 
> when B is supplied with a “blueprint” x then
> B, x —> B,x , X,x
> This means that B and the blueprint x will produce X the entity whose 
> plan is x along with a copy of the blueprint x. The first B,x is the 
> persistence of the original machine B.
> Let b be the blueprint for B itself. Then
> B,b —> B,b , B,b.
> The Von Neumann Machine replicates itself.
> In the comparison, we see that The DNA contains (in its strands) the 
> blueprint for its own replication.
>
> The comparison made, what questions do you ask? The mathematical roots 
> of von Neumann’s construction are very deep. What are the 
> physical/biological roots of the DNA replication?
>
> We invite the reader to examine the form of the science involved in 
> this well-known description. We speak of the DNA molecules as though 
> we could see them directly in the phenomenology of our ordinary sight. 
> Science does involve the direct extension of sight as the experience 
> of looking through a telescope or a light microscope. But in the case 
> of the DNA one proceeds by logical consistency and the indirect but 
> vivid images via the electron microscope and the patterns of gel 
> electrophoresis. In the case of electron microscope images there is 
> every reason to assume (it appears consistent to assume) that the 
> objects shown can be taken to be analogous to the macroscopic objects 
> of our perception. This means that one has the possibility of 
> observing ``directly" that DNA molecules can be knotted. I do not say 
> that one can observe directly the coiling of the Watson and the Crick 
> strands, but the DNA can be observed as though it were a long rope. 
> This rope can be seen to be coiled and knotted in electron 
> micrographs. Even this ``showing'' requires a difficult technique 
> beyond the usual techniques of the electron microscope. The DNA was 
> coated with protein by the experimenters so that it became a chain of 
> larger and more robust diameter. Then the electron microscope revealed 
> the patterns of knotting in an apparent projection of the coated DNA 
> from three dimensional space to the two dimensional space of the image.
>
> It is remarkable how consistent is the hypothesis of indirect 
> perception on which the work is based. Most working biologists would 
> not question the basis of their biological perceptions direct or 
> indirect. For those who are philosophically inclined there is a lesson 
> to be learned about experimental phenomenology.
> One wants to know how far a world-view can be extended before it 
> disintegrates.
> What we see in the electron micrograph is deeply shaped by the complex 
> story of biological experiment that surrounds it.
> Along with these forays into experimentation, there are analogous 
> forays into the limits of logic. Here we meet the replication schema 
> again. Replication in logic is intimately related to self-reference 
> and to formalisms that can lead to paradox. The reasons for this are, 
> by now, apparent. The usual mathematical formalisms for set theory 
> assume that there is no temporal evolution in the structures.
> Temporality may look like a tragedy for the classical mathematics, but 
> it is exactly what interests us when studying biology.
> Mathematical biology is concerned with those structures leading to 
> recursive generation of structures from themselves and from their 
> environments.
> #############################
>
> Here is a related paper:
> https://urldefense.com/v3/__https://arxiv.org/abs/1512.04325__;!!D9dNQwwGXtA!UYK3U5uPm8X_-PYmhQ2uxvCO7o6Hj3NY7b7EsSRPKK1hbtjJyZOJ8284ZeGmKVdcAgnY0XUyshx3NQQhHkpaNbU$ 
> Here are other papers included in this email:
>
>
> Click to Download 
> <https://urldefense.com/v3/__https://www.icloud.com/attachment/?u=https*3A*2F*2Fcvws.icloud-content.com*2FB*2FATn_nnxHcyh_SfWYzB1pkpVr9vdHAYr5N41_25ywwn3LTm0hVYULEOug*2F*24*7Bf*7D*3Fo*3DArD8ICzSw7Xg083yawjkpdvqeFEe-arHpPFPmN-RCbvN*26v*3D1*26x*3D3*26a*3DCAogm-JBZUe4rv4lM-GdROzhO0kNv5Gg2V5ev1BYaB-HurUSdhC139frwjIYte_Sv8wyIgEAKgkC6AMA_392U1dSBGv290daBAsQ66BqJZoxjHqilao5AqmOuPrt9birKtnnpMBCFSalgr9x7wI40ZT-FT5yJSvR6Pg64ur_Ydw6RZabrqmW_o0Ajr4iRmOhBxHxbS-BqcNk1lg*26e*3D1738521491*26fl*3D*26r*3DE63E95B3-6570-4D8F-B1C4-F48F4A3ED650-1*26k*3D*24*7Buk*7D*26ckc*3Dcom.apple.largeattachment*26ckz*3D07A918FF-8BDC-4700-9934-3E1E502E4652*26p*3D173*26s*3D7JO-tuvc3h6PicDvS_8nxF8hoRQ&uk=Oas0OTNPysoPpsuy008VhA&f=1512.04325v1.pdf&sz=717429__;JSUlJSUlJSUlJSUlJSUlJSUlJSUlJSUlJSUlJSUlJSUlJSUl!!D9dNQwwGXtA!Xuz20L8dnuTZYF9WFBHOLyZrvHTyVKqbCy4P55woe-bSQswWK6oGtDnIfdh8ErbhHvbI71N24gtkTUTyEMIjVtxmU_jQ$> 
>
> 1512.04325v1.pdf
> 717 KB
> Click to Download 
> <https://urldefense.com/v3/__https://www.icloud.com/attachment/?u=https*3A*2F*2Fcvws.icloud-content.com*2FB*2FAfWDD-xThY-6u3B_O4UcMuaxj7GaASDKi2Ll2EAIdvqQczfU6SxBrhUf*2F*24*7Bf*7D*3Fo*3DArHPLPr1dN99Ey7QnOcE1UdD15fTvkN441MMtCKW-r0I*26v*3D1*26x*3D3*26a*3DCAogUT9GgoPiAV4KHaYFXTAM4Iu_q2nXyt6Hznxr866BIVYSdhC43dfrwjIYuO3Sv8wyIgEAKgkC6AMA_yr1okBSBLGPsZpaBEGuFR9qJaOvQVc_KBdxw5fisfBOrx_VLhHWPd1wSJUsfmSOhYHIJnnDJbZyJcEpBm7iabDEWhM1D0EkwMqVfVDOQmlOWV-c5GCdgcVTONbG5zs*26e*3D1738521491*26fl*3D*26r*3DDB8C7A77-0863-40CE-B0A3-AF937EF6F979-1*26k*3D*24*7Buk*7D*26ckc*3Dcom.apple.largeattachment*26ckz*3D07A918FF-8BDC-4700-9934-3E1E502E4652*26p*3D173*26s*3Dq0PkhL6x6MMJH4B_Sw6GDRkSKw8&uk=KXpUaywKrBABaHF9ovz55Q&f=CyberneticsMeaningCircularityForm.pdf&sz=929333__;JSUlJSUlJSUlJSUlJSUlJSUlJSUlJSUlJSUlJSUlJSUlJSUl!!D9dNQwwGXtA!Xuz20L8dnuTZYF9WFBHOLyZrvHTyVKqbCy4P55woe-bSQswWK6oGtDnIfdh8ErbhHvbI71N24gtkTUTyEMIjVvoKLyUs$> 
>
> CyberneticsMeaningCircularityForm.pdf
> 929 KB
> Click to Download 
> <https://urldefense.com/v3/__https://www.icloud.com/attachment/?u=https*3A*2F*2Fcvws.icloud-content.com*2FB*2FAReSVvepwPROUFZTwZ8DKo_CiSIzAdLzpnB5yadgFxYXk1QGUIjbUgB0*2F*24*7Bf*7D*3Fo*3DAnkzV5HixpsrAITTzqdTlknHBn7fvEyCzlEY83KwmhW8*26v*3D1*26x*3D3*26a*3DCAog-MMSSt0k00Gopd9_7Y2g-zS3UZJjan5MwxCtM2CGisASdhCy3tfrwjIYsu7Sv8wyIgEAKgkC6AMA_wyQLZtSBMKJIjNaBNtSAHRqJdKKG4fDsBHBBmxfeCnJmKj1HhiENGHmKhHUc9YtzDYM6tbEgqlyJUGfLNP9xYSsHg0e3DB-R7mthcFL72mC8IGcLLblkaMpqt8QL2o*26e*3D1738521491*26fl*3D*26r*3D86EF3221-410C-49C4-8BA0-F44FB0A5518C-1*26k*3D*24*7Buk*7D*26ckc*3Dcom.apple.largeattachment*26ckz*3D07A918FF-8BDC-4700-9934-3E1E502E4652*26p*3D173*26s*3DFm_2bE4uyye6Ll8M3QO1q6R0bUE&uk=FvNOZQnN17VFA0y2UQOfkg&f=SelfRefRecurForm.pdf&sz=1716437__;JSUlJSUlJSUlJSUlJSUlJSUlJSUlJSUlJSUlJSUlJSUlJSUl!!D9dNQwwGXtA!Xuz20L8dnuTZYF9WFBHOLyZrvHTyVKqbCy4P55woe-bSQswWK6oGtDnIfdh8ErbhHvbI71N24gtkTUTyEMIjViVOKEfX$> 
>
> SelfRefRecurForm.pdf
> 1.7 MB
> Click to Download 
> <https://urldefense.com/v3/__https://www.icloud.com/attachment/?u=https*3A*2F*2Fcvws.icloud-content.com*2FB*2FAUx6iEetOR1lRVjJkL11eFOTkzuTAcWjWVDeVUV6bnO-4bVLNF9b-cd0*2F*24*7Bf*7D*3Fo*3DAg1rv-OkjV8Ql46lHdMvAN4SImShVzAK7MiuSiJjAN5l*26v*3D1*26x*3D3*26a*3DCAogMEMeYqYVpx7wbOXgNEpslv6sMg2V-nXzIkWVmPMSA4gSdhCQ49frwjIYkPPSv8wyIgEAKgkC6AMA_0Kczx1SBJOTO5NaBFv5x3RqJara4D4KyaJbbAvu76yOPO5APJeY9b-MfoZPAoLSBqLDcdeBpClyJQOyqfyl2monReu8GW-XwPMAOfcZSDicbsHs7xY-hwdVFrSCTG4*26e*3D1738521491*26fl*3D*26r*3DF14E3413-787E-4FA1-85CF-B6F07278A62E-1*26k*3D*24*7Buk*7D*26ckc*3Dcom.apple.largeattachment*26ckz*3D07A918FF-8BDC-4700-9934-3E1E502E4652*26p*3D173*26s*3DvQVgEYB9JJrZk6x0vcm3sD_RGe8&uk=AUCGBBzj7K6MatUFpB4Row&f=MaturanaUribeVarelaAutopoesis.pdf&sz=865401__;JSUlJSUlJSUlJSUlJSUlJSUlJSUlJSUlJSUlJSUlJSUlJSUl!!D9dNQwwGXtA!Xuz20L8dnuTZYF9WFBHOLyZrvHTyVKqbCy4P55woe-bSQswWK6oGtDnIfdh8ErbhHvbI71N24gtkTUTyEMIjVkrajXVK$> 
>
> MaturanaUribeVarelaAutopoesis.pdf
> 865 KB
> Click to Download 
> <https://urldefense.com/v3/__https://www.icloud.com/attachment/?u=https*3A*2F*2Fcvws.icloud-content.com*2FB*2FAR4wB_N58Yn533K8aQpXKGJWXkzPASmsL8pSe5AZR44PAECm6Ex3lsDn*2F*24*7Bf*7D*3Fo*3DAgo-64NVeXd8ii0S4rIfsPShz15wGrXt9ku8ZX3XYbjH*26v*3D1*26x*3D3*26a*3DCAogzP2kjd1pNJ-fgiOcHQw8YpwzbQ1l30OedbuNutTTX-QSdhCH5dfrwjIYh_XSv8wyIgEAKgkC6AMA_2cGWSJSBFZeTM9aBHeWwOdqJbgX0trC3_7D7hcZ7Cnv2hLisaDYbG3y0IKlNWM4WTODJYo02XlyJSrrw65HVjOd7JTtEezhluxfdE4KyDKnHsAX97WD7Ekw-Pg0qgQ*26e*3D1738521492*26fl*3D*26r*3DBF28D43F-4FF9-4566-B02A-E24199A8CDFD-1*26k*3D*24*7Buk*7D*26ckc*3Dcom.apple.largeattachment*26ckz*3D07A918FF-8BDC-4700-9934-3E1E502E4652*26p*3D173*26s*3DNzdeA2S-uhfAJyD61L2Z92_v420&uk=H2kDOMEYxMUzeHAoOLYh-g&f=BioLogic.key.pdf&sz=9437535__;JSUlJSUlJSUlJSUlJSUlJSUlJSUlJSUlJSUlJSUlJSUlJSUl!!D9dNQwwGXtA!Xuz20L8dnuTZYF9WFBHOLyZrvHTyVKqbCy4P55woe-bSQswWK6oGtDnIfdh8ErbhHvbI71N24gtkTUTyEMIjVij0n023$> 
>
> BioLogic.key.pdf
> 9.4 MB
> Click to Download 
> <https://urldefense.com/v3/__https://www.icloud.com/attachment/?u=https*3A*2F*2Fcvws.icloud-content.com*2FB*2FAaskhvzbtDvxumzp23OgNzNZwm-7ASUNpPlZrVsOrXZXgbDT9RXOqQxE*2F*24*7Bf*7D*3Fo*3DAqS2RUWOb7mjqFw81UfUpBZvzzElG2IuoCVozSQIUgGH*26v*3D1*26x*3D3*26a*3DCAogB585syGhKKCTMNhO-9uuNtFTS37FzA3UBMm3WTIhH3kSdhD55tfrwjIY-fbSv8wyIgEAKgkC6AMA_106_mBSBFnCb7taBM6pDERqJexjT3HEYHk8x_M13IC_bVya5MoTV8KPmmvsW3k2wv8QmQ1nWyByJa5j6RLg0uNdBEENnOMTOD8KQLCraycE9tqRxXfg9cNJ8ivualM*26e*3D1738521492*26fl*3D*26r*3DCD6B422B-C8CF-46E7-88A7-805A4784DA55-1*26k*3D*24*7Buk*7D*26ckc*3Dcom.apple.largeattachment*26ckz*3D07A918FF-8BDC-4700-9934-3E1E502E4652*26p*3D173*26s*3D0-Z0ukD2nf6YA7S3UZL1fvzyMao&uk=yfAljKdKL3G6eWxT0lSKjw&f=VirtualLogic.pdf&sz=2178961__;JSUlJSUlJSUlJSUlJSUlJSUlJSUlJSUlJSUlJSUlJSUlJSUl!!D9dNQwwGXtA!Xuz20L8dnuTZYF9WFBHOLyZrvHTyVKqbCy4P55woe-bSQswWK6oGtDnIfdh8ErbhHvbI71N24gtkTUTyEMIjVr438Ncq$> 
>
> VirtualLogic.pdf
> 2.2 MB
> Click to Download 
> <https://urldefense.com/v3/__https://www.icloud.com/attachment/?u=https*3A*2F*2Fcvws.icloud-content.com*2FB*2FAV0H5OvP8kazwdUa_iCPT2ioG7lfAVBDwewoRL4xdUu3nI1Zhz_4TnLO*2F*24*7Bf*7D*3Fo*3DAkNAKbOyluSanGwTBhxfx2ZuhF6B5fDOUuENwXk1cOO5*26v*3D1*26x*3D3*26a*3DCAognagpbxj170unFbvi6PEXu7XVhlTCxk0pWHNxskW3f8ISdhDe6dfrwjIY3vnSv8wyIgEAKgkC6AMA_1I8_a5SBKgbuV9aBPhOcs5qJZlTqGOAk77vzzmof4V_n66qlmvtsbXmlHsTktuxHdd9MJ1JWnZyJX3PyHPBo3kpVSaV1MyRTtzEnKSr5y542hhMQdm2DKskUev9-Ds*26e*3D1738521492*26fl*3D*26r*3DE226D22E-E903-4460-AE8A-72D70C00DA29-1*26k*3D*24*7Buk*7D*26ckc*3Dcom.apple.largeattachment*26ckz*3D07A918FF-8BDC-4700-9934-3E1E502E4652*26p*3D173*26s*3DIpsAG12XYDI0iThQny9wtKcZKu0&uk=9-Bbv7YXNIAk8G2JeaEeEA&f=RecursiveForms.pdf&sz=1975421__;JSUlJSUlJSUlJSUlJSUlJSUlJSUlJSUlJSUlJSUlJSUlJSUl!!D9dNQwwGXtA!Xuz20L8dnuTZYF9WFBHOLyZrvHTyVKqbCy4P55woe-bSQswWK6oGtDnIfdh8ErbhHvbI71N24gtkTUTyEMIjVlB96cic$> 
>
> RecursiveForms.pdf
> 2 MB
> Click to Download 
> <https://urldefense.com/v3/__https://www.icloud.com/attachment/?u=https*3A*2F*2Fcvws.icloud-content.com*2FB*2FAVF0MhWBm54WgbrzMnPJejEEICc6ATmj6R5dc6p3fYrhBDjhxtEx607Z*2F*24*7Bf*7D*3Fo*3DAuDpRbBE9VPLfPD587kAy3O6MGOYR-YgC77_57OBPWzY*26v*3D1*26x*3D3*26a*3DCAogYNQku6Eei7Bqym-BRSVGDIwRCSb7ReBc4w-PiL6RkNASdhDT6tfrwjIY0_rSv8wyIgEAKgkC6AMA_xqa92hSBAQgJzpaBDHrTtlqJfuDajJFDB-DIKOOOSECjgRNXoLe8bFtEjKFE5E6Z881ip7PMLdyJf_BWdAIlnZh3x59aC7rlceAHhmOJb-tIt9Priae0XuJ_zOjNSY*26e*3D1738521492*26fl*3D*26r*3DFD4D865D-F646-4B8D-9EBE-8CE1668E06E3-1*26k*3D*24*7Buk*7D*26ckc*3Dcom.apple.largeattachment*26ckz*3D07A918FF-8BDC-4700-9934-3E1E502E4652*26p*3D173*26s*3DEDS2z2N2LBnL3xctM-w88P6e2fw&uk=PcvMHeC8kiHJwYeU4osFRw&f=KnotLogic.pdf&sz=3984876__;JSUlJSUlJSUlJSUlJSUlJSUlJSUlJSUlJSUlJSUlJSUlJSUl!!D9dNQwwGXtA!Xuz20L8dnuTZYF9WFBHOLyZrvHTyVKqbCy4P55woe-bSQswWK6oGtDnIfdh8ErbhHvbI71N24gtkTUTyEMIjVnzBDW2w$> 
>
> KnotLogic.pdf
> 4 MB
> Click to Download 
> <https://urldefense.com/v3/__https://www.icloud.com/attachment/?u=https*3A*2F*2Fcvws.icloud-content.com*2FB*2FAa3ViSw9Q_ZsqJl2l7FQHhO6epqSAfHL1V0LsPHFyNnoJStJkVWsxdYS*2F*24*7Bf*7D*3Fo*3DAugz17HcsnNDKFXL38CRQCgUvn1fxuuJkvhIXjgguEV1*26v*3D1*26x*3D3*26a*3DCAogSlvExVpOkZwaxdZ9XVrUdNHGv-rexsttbomoaEpbrWASdhDC7NfrwjIYwvzSv8wyIgEAKgkC6AMA_zjCwvBSBLp6mpJaBKzF1hJqJTN95Qck513tFY_f9NVc-No2KXkbN4_sp7zr0rPW3AdDmgXuroJyJSNa52bS8up0ObB_HQiiRyim6yuo2ZJ226NrbZVqIp4kgafFTxo*26e*3D1738521493*26fl*3D*26r*3D7E4C9DD2-1CC1-4351-908F-A396F925C240-1*26k*3D*24*7Buk*7D*26ckc*3Dcom.apple.largeattachment*26ckz*3D07A918FF-8BDC-4700-9934-3E1E502E4652*26p*3D173*26s*3DFqbhY6e0T0QNTugXqHWqfQNvwp8&uk=Jmg5S3MdA-dOmalq2ArhIg&f=Autopoiesis*20and*20Eigenform*20-computation-11-00247-v3.pdf&sz=4840405__;JSUlJSUlJSUlJSUlJSUlJSUlJSUlJSUlJSUlJSUlJSUlJSUlJSUl!!D9dNQwwGXtA!Xuz20L8dnuTZYF9WFBHOLyZrvHTyVKqbCy4P55woe-bSQswWK6oGtDnIfdh8ErbhHvbI71N24gtkTUTyEMIjVsCS-fWW$> 
>
> Autopoiesis and Eigenform -computation-11-00247-v3.pdf
> 4.8 MB
>
> Very best,
> Louis H Kauffman
> Dept Mathematics
> University of Illinois at Chicago
>
>
>
>
>
> _______________________________________________
> Fis mailing list
> Fis at listas.unizar.es
> http://listas.unizar.es/cgi-bin/mailman/listinfo/fis
> ----------
> INFORMACIÓN SOBRE PROTECCIÓN DE DATOS DE CARÁCTER PERSONAL
>
> Ud. recibe este correo por pertenecer a una lista de correo gestionada por la Universidad de Zaragoza.
> Puede encontrar toda la información sobre como tratamos sus datos en el siguiente enlace:https://sicuz.unizar.es/informacion-sobre-proteccion-de-datos-de-caracter-personal-en-listas
> Recuerde que si está suscrito a una lista voluntaria Ud. puede darse de baja desde la propia aplicación en el momento en que lo desee.
> http://listas.unizar.es
> ----------
-- 
/Dr. Eric Werner, FLS
Oxford Advanced Research Foundation
https://urldefense.com/v3/__https://oarf.org__;!!D9dNQwwGXtA!UYK3U5uPm8X_-PYmhQ2uxvCO7o6Hj3NY7b7EsSRPKK1hbtjJyZOJ8284ZeGmKVdcAgnY0XUyshx3NQQhyu4v2Mw$ 

/
-------------- next part --------------
An HTML attachment was scrubbed...
URL: <http://listas.unizar.es/pipermail/fis/attachments/20250104/cc190759/attachment-0001.html>
-------------- next part --------------
A non-text attachment was scrubbed...
Name: DNAknot-trefoil..jpeg
Type: image/jpeg
Size: 42480 bytes
Desc: not available
URL: <http://listas.unizar.es/pipermail/fis/attachments/20250104/cc190759/attachment-0001.jpeg>